Moduli Spaces of Polynomials in Two Variables

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Publisher : American Mathematical Soc.
ISBN 13 : 0821835939
Total Pages : 154 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Moduli Spaces of Polynomials in Two Variables by : Javier Fernández de Bobadilla

Download or read book Moduli Spaces of Polynomials in Two Variables written by Javier Fernández de Bobadilla and published by American Mathematical Soc.. This book was released on 2005 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investigates the geometry of the orbit space. This book associates a graph with each polynomial in two variables that encodes part of its geometric properties at infinity. It also defines a partition of $\mathbb{C} x, y]$ imposing that the polynomials in the same stratum are the polynomials with a fixed associated graph

Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 1

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Publisher : American Mathematical Soc.
ISBN 13 : 082183942X
Total Pages : 344 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 1 by : Takuro Mochizuki

Download or read book Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 1 written by Takuro Mochizuki and published by American Mathematical Soc.. This book was released on 2007 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author studies the asymptotic behaviour of tame harmonic bundles. First he proves a local freeness of the prolongment of deformed holomorphic bundle by an increasing order. Then he obtains the polarized mixed twistor structure from the data on the divisors. As one of the applications, he obtains the norm estimate of holomorphic or flat sections by weight filtrations of the monodromies. As another application, the author establishes the correspondence of semisimple regular holonomic $D$-modules and polarizable pure imaginary pure twistor $D$-modules through tame pure imaginary harmonic bundles, which is a conjecture of C. Sabbah. Then the regular holonomic version of M. Kashiwara's conjecture follows from the results of Sabbah and the author.

Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration

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Publisher : Springer Nature
ISBN 13 : 3030678296
Total Pages : 127 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration by : Alfonso Zamora Saiz

Download or read book Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration written by Alfonso Zamora Saiz and published by Springer Nature. This book was released on 2021-03-24 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces key topics on Geometric Invariant Theory, a technique to obtaining quotients in algebraic geometry with a good set of properties, through various examples. It starts from the classical Hilbert classification of binary forms, advancing to the construction of the moduli space of semistable holomorphic vector bundles, and to Hitchin’s theory on Higgs bundles. The relationship between the notion of stability between algebraic, differential and symplectic geometry settings is also covered. Unstable objects in moduli problems -- a result of the construction of moduli spaces -- get specific attention in this work. The notion of the Harder-Narasimhan filtration as a tool to handle them, and its relationship with GIT quotients, provide instigating new calculations in several problems. Applications include a survey of research results on correspondences between Harder-Narasimhan filtrations with the GIT picture and stratifications of the moduli space of Higgs bundles. Graduate students and researchers who want to approach Geometric Invariant Theory in moduli constructions can greatly benefit from this reading, whose key prerequisites are general courses on algebraic geometry and differential geometry.

The Complete Dimension Theory of Partially Ordered Systems with Equivalence and Orthogonality

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Publisher : American Mathematical Soc.
ISBN 13 : 0821837168
Total Pages : 134 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Complete Dimension Theory of Partially Ordered Systems with Equivalence and Orthogonality by : K. R. Goodearl

Download or read book The Complete Dimension Theory of Partially Ordered Systems with Equivalence and Orthogonality written by K. R. Goodearl and published by American Mathematical Soc.. This book was released on 2005 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction Partial commutative monoids Continuous dimension scales Espaliers Classes of espaliers Bibliography Index

Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness

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Publisher : American Mathematical Soc.
ISBN 13 : 0821837389
Total Pages : 187 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness by : Lee Klingler

Download or read book Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness written by Lee Klingler and published by American Mathematical Soc.. This book was released on 2005 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring $\Lambda$, either the category of $\Lambda$-modules of finite length has wild representation type or else we can describe the category of finitely generated $\Lambda$-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)

Entropy Bounds and Isoperimetry

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Publisher : American Mathematical Soc.
ISBN 13 : 082183858X
Total Pages : 88 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Entropy Bounds and Isoperimetry by : Serguei Germanovich Bobkov

Download or read book Entropy Bounds and Isoperimetry written by Serguei Germanovich Bobkov and published by American Mathematical Soc.. This book was released on 2005 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these memoirs Bobkov and Zegarlinski describe interesting developments in infinite dimensional analysis that moved it away from experimental science. Here they also describe Poincar -type inequalities, entropy and Orlicz spaces, LSq and Hardy-type inequalities on the line, probability measures satisfying LSq inequalities on the real line, expo

Flat Level Set Regularity of $p$-Laplace Phase Transitions

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Publisher : American Mathematical Soc.
ISBN 13 : 0821839101
Total Pages : 158 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Flat Level Set Regularity of $p$-Laplace Phase Transitions by : Enrico Valdinoci

Download or read book Flat Level Set Regularity of $p$-Laplace Phase Transitions written by Enrico Valdinoci and published by American Mathematical Soc.. This book was released on 2006 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: We prove a Harnack inequality for level sets of $p$-Laplace phase transition minimizers. In particular, if a level set is included in a flat cylinder, then, in the interior, it is included in a flatter one. The extension of a result conjectured by De Giorgi and recently proven by the third author for $p=2$ follows.

A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields

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Publisher : American Mathematical Soc.
ISBN 13 : 0821837060
Total Pages : 104 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields by : Jason Fulman

Download or read book A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields written by Jason Fulman and published by American Mathematical Soc.. This book was released on 2005 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generating function techniques are used to study the probability that an element of a classical group defined over a finite field is separable, cyclic, semisimple or regular. The limits of these probabilities as the dimension tends to infinity are calculated in all cases, and exponential convergence to the limit is proved. These results complement and extend earlier results of the authors, G. E. Wall, and Guralnick & Lubeck.

The Second Duals of Beurling Algebras

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Publisher : American Mathematical Soc.
ISBN 13 : 0821837745
Total Pages : 206 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Second Duals of Beurling Algebras by : Harold G. Dales

Download or read book The Second Duals of Beurling Algebras written by Harold G. Dales and published by American Mathematical Soc.. This book was released on 2005 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let $A$ be a Banach algebra, with second dual space $A""$. We propose to study the space $A""$ as a Banach algebra. There are two Banach algebra products on $A""$, denoted by $\,\Box\,$ and $\,\Diamond\,$. The Banach algebra $A$ is Arens regular if the two products $\Box$ and $\Diamond$ coincide on $A""$.

Rigidity Theorems for Actions of Product Groups and Countable Borel Equivalence Relations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821837710
Total Pages : 126 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Rigidity Theorems for Actions of Product Groups and Countable Borel Equivalence Relations by : Greg Hjorth

Download or read book Rigidity Theorems for Actions of Product Groups and Countable Borel Equivalence Relations written by Greg Hjorth and published by American Mathematical Soc.. This book was released on 2005 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributes to the theory of Borel equivalence relations, considered up to Borel reducibility, and measures preserving group actions considered up to orbit equivalence. This title catalogs the actions of products of the free group and obtains additional rigidity theorems and relative ergodicity results in this context.

Higher Complex Torsion and the Framing Principle

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Publisher : American Mathematical Soc.
ISBN 13 : 0821837737
Total Pages : 114 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Higher Complex Torsion and the Framing Principle by : Kiyoshi Igusa

Download or read book Higher Complex Torsion and the Framing Principle written by Kiyoshi Igusa and published by American Mathematical Soc.. This book was released on 2005 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intends to prove that higher Franz-Reidemeister (FR) torsion satisfies the transfer property and a formula known as the 'Framing Principle' in full generality. This title uses these properties to compute the higher FR-torsion for various smooth bundles with oriented closed even dimensional manifold fibers.

The Moduli Space of Curves

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Publisher : Springer Science & Business Media
ISBN 13 : 1461242649
Total Pages : 570 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Moduli Space of Curves by : Robert H. Dijkgraaf

Download or read book The Moduli Space of Curves written by Robert H. Dijkgraaf and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory.

Dynamics in One Complex Variable

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Publisher : Princeton University Press
ISBN 13 : 1400835534
Total Pages : 313 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Dynamics in One Complex Variable by : John Milnor

Download or read book Dynamics in One Complex Variable written by John Milnor and published by Princeton University Press. This book was released on 2011-02-11 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology. This third edition contains a number of minor additions and improvements: A historical survey has been added, the definition of Lattés map has been made more inclusive, and the écalle-Voronin theory of parabolic points is described. The résidu itératif is studied, and the material on two complex variables has been expanded. Recent results on effective computability have been added, and the references have been expanded and updated. Written in his usual brilliant style, the author makes difficult mathematics look easy. This book is a very accessible source for much of what has been accomplished in the field.

Progress in Galois Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0387235345
Total Pages : 174 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Progress in Galois Theory by : Helmut Voelklein

Download or read book Progress in Galois Theory written by Helmut Voelklein and published by Springer Science & Business Media. This book was released on 2006-08-10 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: The legacy of Galois was the beginning of Galois theory as well as group theory. From this common origin, the development of group theory took its own course, which led to great advances in the latter half of the 20th cen tury. It was John Thompson who shaped finite group theory like no-one else, leading the way towards a major milestone of 20th century mathematics, the classification of finite simple groups. After the classification was announced around 1980, it was again J. Thomp son who led the way in exploring its implications for Galois theory. The first question is whether all simple groups occur as Galois groups over the rationals (and related fields), and secondly, how can this be used to show that all finite groups occur (the 'Inverse Problem of Galois Theory'). What are the implica tions for the stmcture and representations of the absolute Galois group of the rationals (and other fields)? Various other applications to algebra and number theory have been found, most prominently, to the theory of algebraic curves (e.g., the Guralnick-Thompson Conjecture on the Galois theory of covers of the Riemann sphere).

An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 3540711759
Total Pages : 228 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces by : Martin Schlichenmaier

Download or read book An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces written by Martin Schlichenmaier and published by Springer Science & Business Media. This book was released on 2010-02-11 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to modern geometry. Starting from an elementary level, the author develops deep geometrical concepts that play an important role in contemporary theoretical physics, presenting various techniques and viewpoints along the way. This second edition contains two additional, more advanced geometric techniques: the modern language and modern view of Algebraic Geometry and Mirror Symmetry.

Singularities and Foliations. Geometry, Topology and Applications

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Publisher : Springer
ISBN 13 : 3319736396
Total Pages : 552 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Singularities and Foliations. Geometry, Topology and Applications by : Raimundo Nonato Araújo dos Santos

Download or read book Singularities and Foliations. Geometry, Topology and Applications written by Raimundo Nonato Araújo dos Santos and published by Springer. This book was released on 2018-03-21 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings book brings selected works from two conferences, the 2nd Brazil-Mexico Meeting on Singularity and the 3rd Northeastern Brazilian Meeting on Singularities, that were hold in Salvador, in July 2015. All contributions were carefully peer-reviewed and revised, and cover topics like Equisingularity, Topology and Geometry of Singularities, Topological Classification of Singularities of Mappings, and more. They were written by mathematicians from several countries, including Brazil, Spain, Mexico, Japan and the USA, on relevant topics on Theory of Singularity, such as studies on deformations, Milnor fibration, foliations, Catastrophe theory, and myriad applications. Open problems are also introduced, making this volume a must-read both for graduate students and active researchers in this field.

The Art of Doing Algebraic Geometry

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Publisher : Springer Nature
ISBN 13 : 303111938X
Total Pages : 421 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis The Art of Doing Algebraic Geometry by : Thomas Dedieu

Download or read book The Art of Doing Algebraic Geometry written by Thomas Dedieu and published by Springer Nature. This book was released on 2023-04-14 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Ciro Ciliberto on the occasion of his 70th birthday and contains refereed papers, offering an overview of important parts of current research in algebraic geometry and related research in the history of mathematics. It presents original research as well as surveys, both providing a valuable overview of the current state of the art of the covered topics and reflecting the versatility of the scientific interests of Ciro Ciliberto.