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The Defect Relation Of Meromorphic Maps On Parabolic Manifolds
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Book Synopsis The Defect Relation of Meromorphic Maps on Parabolic Manifolds by : George Lawrence Ashline
Download or read book The Defect Relation of Meromorphic Maps on Parabolic Manifolds written by George Lawrence Ashline and published by American Mathematical Soc.. This book was released on 1999 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians working in several complex variables and analytic spaces.
Book Synopsis The Defect Relation for Meromorphic Maps Defined on Covering Parabolic Manifolds by : Emmanuel Theodore Bardis
Download or read book The Defect Relation for Meromorphic Maps Defined on Covering Parabolic Manifolds written by Emmanuel Theodore Bardis and published by . This book was released on 1990 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cartan's Conjecture written by Wanxi Chen and published by . This book was released on 1987 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Value Distribution Theory for Meromorphic Maps by : Wilhelm Stoll
Download or read book Value Distribution Theory for Meromorphic Maps written by Wilhelm Stoll and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Value distribution theory studies the behavior of mermorphic maps. Let f: M - N be a merom orphic map between complex manifolds. A target family CI ~ (Ea1aEA of analytic subsets Ea of N is given where A is a connected. compact complex manifold. The behavior of the inverse 1 family ["'(CI) = (f- {E )laEA is investigated. A substantial theory has been a created by many contributors. Usually the targets Ea stay fixed. However we can consider a finite set IJ of meromorphic maps g : M - A and study the incidence f{z) E Eg(z) for z E M and some g E IJ. Here we investigate this situation: M is a parabolic manifold of dimension m and N = lP n is the n-dimensional projective space. The family of hyperplanes in lP n is the target family parameterized by the dual projective space lP* We obtain a Nevanlinna theory consisting of several n First Main Theorems. Second Main Theorems and Defect Relations and extend recent work by B. Shiffman and by S. Mori. We use the Ahlfors-Weyl theory modified by the curvature method of Cowen and Griffiths. The Introduction consists of two parts. In Part A. we sketch the theory for fixed targets to provide background for those who are familar with complex analysis but are not acquainted with value distribution theory.
Book Synopsis Dynamical Zeta Functions, Nielsen Theory and Reidemeister Torsion by : Alexander Fel'shtyn
Download or read book Dynamical Zeta Functions, Nielsen Theory and Reidemeister Torsion written by Alexander Fel'shtyn and published by American Mathematical Soc.. This book was released on 2000 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the paper we study new dynamical zeta functions connected with Nielsen fixed point theory. The study of dynamical zeta functions is part of the theory of dynamical systems, but it is also intimately related to algebraic geometry, number theory, topology and statistical mechanics. The paper consists of four parts. Part I presents a brief account of the Nielsen fixed point theory. Part II deals with dynamical zeta functions connected with Nielsen fixed point theory. Part III is concerned with analog of Dold congruences for the Reidemeister and Nielsen numbers. In Part IV we explain how dynamical zeta functions give rise to the Reidemeister torsion, a very important topological invariant which has useful applications in knots theory,quantum field theory and dynamical systems.
Book Synopsis Rational Curves on Quasi-Projective Surfaces by : Seán Keel
Download or read book Rational Curves on Quasi-Projective Surfaces written by Seán Keel and published by American Mathematical Soc.. This book was released on 1999 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians working in algebraic geometry
Book Synopsis Norms on Possibilities. I: Forcing with Trees and Creatures by : Andrzej Rosłanowski
Download or read book Norms on Possibilities. I: Forcing with Trees and Creatures written by Andrzej Rosłanowski and published by American Mathematical Soc.. This book was released on 1999 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians interested in mathematical logic and foundations.
Book Synopsis Diffeomorphisms and Noncommutative Analytic Torsion by : John Lott
Download or read book Diffeomorphisms and Noncommutative Analytic Torsion written by John Lott and published by American Mathematical Soc.. This book was released on 1999 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians working in global analysis and analysis on manifolds
Book Synopsis $A_1$ Subgroups of Exceptional Algebraic Groups by : Ross Lawther
Download or read book $A_1$ Subgroups of Exceptional Algebraic Groups written by Ross Lawther and published by American Mathematical Soc.. This book was released on 1999 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians interested in group theory and genralizations
Book Synopsis Geometry and Analysis on Complex Manifolds by : Toshiki Mabuchi
Download or read book Geometry and Analysis on Complex Manifolds written by Toshiki Mabuchi and published by World Scientific. This book was released on 1994 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents papers dedicated to Professor Shoshichi Kobayashi, commemorating the occasion of his sixtieth birthday on January 4, 1992.The principal theme of this volume is “Geometry and Analysis on Complex Manifolds”. It emphasizes the wide mathematical influence that Professor Kobayashi has on areas ranging from differential geometry to complex analysis and algebraic geometry. It covers various materials including holomorphic vector bundles on complex manifolds, Kähler metrics and Einstein–Hermitian metrics, geometric function theory in several complex variables, and symplectic or non-Kähler geometry on complex manifolds. These are areas in which Professor Kobayashi has made strong impact and is continuing to make many deep invaluable contributions.
Book Synopsis Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm by : Hirotaka Fujimoto
Download or read book Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm written by Hirotaka Fujimoto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents in a systematic and almost self-contained way the striking analogy between classical function theory, in particular the value distribution theory of holomorphic curves in projective space, on the one hand, and important and beautiful properties of the Gauss map of minimal surfaces on the other hand. Both theories are developed in the text, including many results of recent research. The relations and analogies between them become completely clear. The book is written for interested graduate students and mathematicians, who want to become more familiar with this modern development in the two classical areas of mathematics, but also for those, who intend to do further research on minimal surfaces.
Book Synopsis Geometry And Analysis On Complex Manifolds: Festschrift For S Kobayashi's 60th Birthday by : Toshiki Mabuchi
Download or read book Geometry And Analysis On Complex Manifolds: Festschrift For S Kobayashi's 60th Birthday written by Toshiki Mabuchi and published by World Scientific. This book was released on 1994-12-09 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents papers dedicated to Professor Shoshichi Kobayashi, commemorating the occasion of his sixtieth birthday on January 4, 1992.The principal theme of this volume is “Geometry and Analysis on Complex Manifolds”. It emphasizes the wide mathematical influence that Professor Kobayashi has on areas ranging from differential geometry to complex analysis and algebraic geometry. It covers various materials including holomorphic vector bundles on complex manifolds, Kähler metrics and Einstein-Hermitian metrics, geometric function theory in several complex variables, and symplectic or non-Kähler geometry on complex manifolds. These are areas in which Professor Kobayashi has made strong impact and is continuing to make many deep invaluable contributions.
Book Synopsis Renormalized Self-Intersection Local Times and Wick Power Chaos Processes by : Michael B. Marcus
Download or read book Renormalized Self-Intersection Local Times and Wick Power Chaos Processes written by Michael B. Marcus and published by American Mathematical Soc.. This book was released on 1999 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sufficient conditions are obtained for the continuity of renormalized self-intersection local times for the multiple intersections of a large class of strongly symmetric L vy processes in $R DEGREESm$, $m=1,2$. In $R DEGREES2$ these include Brownian motion and stable processes of index greater than 3/2, as well as many processes in their domains of attraction. In $R DEGREES1$ these include stable processes of index $3/4
Book Synopsis Equivariant $E$-Theory for $C^*$-Algebras by : Erik Guentner
Download or read book Equivariant $E$-Theory for $C^*$-Algebras written by Erik Guentner and published by American Mathematical Soc.. This book was released on 2000 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title examines the equivariant e-theory for c*-algebra, focusing on research carried out by Higson and Kasparov. Let A and B be C*-algebras which are equipped with continuous actions of a second countable, locally compact group G. We define a notion of equivariant asymptotic morphism, and use it to define equivariant E-theory groups EULG(A, B) which generalize the E-theory groups of Connes and Higson. We develop the basic properties of equivariant E-theory, including a composition product and six-term exact sequences in both variables, and apply our theory to the problem of calculating K-theory for group C*-algebras. Our main theorem gives a simple criterion for the assembly map of Baum and Connes to be an isomorphism. The result plays an important role in the work of Higson and Kasparov on the Bau m-Connes conjecture for groups which act isometrically and metrically properly on Hilbert space
Book Synopsis Asymptotics for Solutions of Linear Differential Equations Having Turning Points with Applications by : Shlomo Strelitz
Download or read book Asymptotics for Solutions of Linear Differential Equations Having Turning Points with Applications written by Shlomo Strelitz and published by American Mathematical Soc.. This book was released on 1999 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotics are built for the solutions $y_j(x, \lambda)$, $y_j DEGREES{(k)}(0, \lambda)=\delta_{j\, n-k}$, $0\le j, k+1\le n$ of the equation $L(y)=\lambda p(x)y, \quad x\in [0,1], $ where $L(y)$ is a linear differential operator of whatever order $n\ge 2$ and $p(x)$ is assumed to possess a finite number of turning points. The established asymptotics are afterwards applied to the study of: 1) the existence of infinite eigenvalue sequences for various multipoint boundary problems posed on $L(y)=\lambda p(x)y, \quad x\in [0,1], $, especially as $n=2$ and $n=3$ (let us be aware that the same method can be successfully applied on many occasions in case $n>3$ too) and 2) asymptotical distribution of the corresponding eigenvalue sequences on the
Book Synopsis Well-Posedness of the Cauchy Problem for $n \times n$ Systems of Conservation Laws by : Alberto Bressan
Download or read book Well-Posedness of the Cauchy Problem for $n \times n$ Systems of Conservation Laws written by Alberto Bressan and published by American Mathematical Soc.. This book was released on 2000 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and researchers interested in the mathematical physics and PDE.
Book Synopsis Squared Hopf Algebras by : Volodymyr V. Lyubashenko
Download or read book Squared Hopf Algebras written by Volodymyr V. Lyubashenko and published by American Mathematical Soc.. This book was released on 1999 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians interested in associative rings and algebras.
