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Author : Kenneth Ribet
Publisher :
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.4/5 (91 download)
Download or read book Current Trends in Arithmetical Algebraic Geometry written by Kenneth Ribet and published by . This book was released on 1987 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kenneth Ribet
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (8 download)
Download or read book Current Trends in Arithmetical Algebraic Geometry written by Kenneth Ribet and published by . This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. A. Ribet
Publisher :
ISBN 13 : 9781223003573
Total Pages : pages
Book Rating : 4.0/5 (35 download)
Download or read book Current Trends in Arithmetical Algebraic Geometry written by K. A. Ribet and published by . This book was released on 1987-06-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Current Trends in Arithmetical Algebraic Geometry written by and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Brian David Conrad
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886915
Total Pages : 588 pages
Book Rating : 4.8/5 (869 download)
Download or read book Arithmetic Algebraic Geometry written by Brian David Conrad and published by American Mathematical Soc.. This book was released on with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are expanded versions of lectures delivered at the Graduate Summer School and at the Mentoring Program for Women in Mathematics held at the Institute for Advanced Study/Park City Mathematics Institute. The theme of the program was arithmetic algebraic geometry. The choice of lecture topics was heavily influenced by the recent spectacular work of Wiles on modular elliptic curves and Fermat's Last Theorem. The main emphasis of the articles in the volume is on elliptic curves, Galois representations, and modular forms. One lecture series offers an introduction to these objects. The others discuss selected recent results, current research, and open problems and conjectures. The book would be a suitable text for an advanced graduate topics course in arithmetic algebraic geometry.
Author : G., van der Geer
Publisher : Springer Science & Business Media
ISBN 13 : 1461204577
Total Pages : 450 pages
Book Rating : 4.4/5 (612 download)
Download or read book Arithmetic Algebraic Geometry written by G., van der Geer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arithmetic algebraic geometry is in a fascinating stage of growth, providing a rich variety of applications of new tools to both old and new problems. Representative of these recent developments is the notion of Arakelov geometry, a way of "completing" a variety over the ring of integers of a number field by adding fibres over the Archimedean places. Another is the appearance of the relations between arithmetic geometry and Nevanlinna theory, or more precisely between diophantine approximation theory and the value distribution theory of holomorphic maps. Research mathematicians and graduate students in algebraic geometry and number theory will find a valuable and lively view of the field in this state-of-the-art selection.
Author : Lucia Caporaso
Publisher : Cambridge University Press
ISBN 13 : 052176825X
Total Pages : 437 pages
Book Rating : 4.5/5 (217 download)
Download or read book Current Developments in Algebraic Geometry written by Lucia Caporaso and published by Cambridge University Press. This book was released on 2012-03-19 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, based on a workshop by the MSRI, offers an overview of the state of the art in many areas of algebraic geometry.
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (497 download)
Download or read book Current Trends in Arithmetical Algebraic Geometry written by American Mathematical Society and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Qing Liu
Publisher : Oxford University Press
ISBN 13 : 0191547808
Total Pages : 593 pages
Book Rating : 4.1/5 (915 download)
Download or read book Algebraic Geometry and Arithmetic Curves written by Qing Liu and published by Oxford University Press. This book was released on 2006-06-29 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem). This is followed by the more global aspect: coherent sheaves and a finiteness theorem for their cohomology groups. Then follows a chapter on sheaves of differentials, dualizing sheaves, and Grothendieck's duality theory. The first part ends with the theorem of Riemann-Roch and its application to the study of smooth projective curves over a field. Singular curves are treated through a detailed study of the Picard group. The second part starts with blowing-ups and desingularisation (embedded or not) of fibered surfaces over a Dedekind ring that leads on to intersection theory on arithmetic surfaces. Castelnuovo's criterion is proved and also the existence of the minimal regular model. This leads to the study of reduction of algebraic curves. The case of elliptic curves is studied in detail. The book concludes with the funadmental theorem of stable reduction of Deligne-Mumford. The book is essentially self-contained, including the necessary material on commutative algebra. The prerequisites are therefore few, and the book should suit a graduate student. It contains many examples and nearly 600 exercises.
Author : Kenneth A. Ribet
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (642 download)
Download or read book Current Trends in Arithmetical Geometry written by Kenneth A. Ribet and published by . This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yasuyuki Kachi
Publisher : American Mathematical Soc.
ISBN 13 : 0821834010
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)
Download or read book Recent Progress in Arithmetic and Algebraic Geometry written by Yasuyuki Kachi and published by American Mathematical Soc.. This book was released on 2005 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume resulted from the John H. Barrett Memorial Lecture Series held at the University of Tennessee (Knoxville). The articles reflect recent developments in algebraic geometry. It is suitable for graduate students and researchers interested in algebra and algebraic geometry.
Author : Gebhard Böckle
Publisher : Springer
ISBN 13 : 3034808534
Total Pages : 350 pages
Book Rating : 4.0/5 (348 download)
Download or read book Arithmetic Geometry over Global Function Fields written by Gebhard Böckle and published by Springer. This book was released on 2014-11-13 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects the texts of five courses given in the Arithmetic Geometry Research Programme 2009-2010 at the CRM Barcelona. All of them deal with characteristic p global fields; the common theme around which they are centered is the arithmetic of L-functions (and other special functions), investigated in various aspects. Three courses examine some of the most important recent ideas in the positive characteristic theory discovered by Goss (a field in tumultuous development, which is seeing a number of spectacular advances): they cover respectively crystals over function fields (with a number of applications to L-functions of t-motives), gamma and zeta functions in characteristic p, and the binomial theorem. The other two are focused on topics closer to the classical theory of abelian varieties over number fields: they give respectively a thorough introduction to the arithmetic of Jacobians over function fields (including the current status of the BSD conjecture and its geometric analogues, and the construction of Mordell-Weil groups of high rank) and a state of the art survey of Geometric Iwasawa Theory explaining the recent proofs of various versions of the Main Conjecture, in the commutative and non-commutative settings.
Author : Luciano Boi
Publisher : World Scientific
ISBN 13 : 1908977884
Total Pages : 329 pages
Book Rating : 4.9/5 (89 download)
Download or read book New Trends In Geometry: Their Role In The Natural And Life Sciences written by Luciano Boi and published by World Scientific. This book was released on 2011-05-19 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines.The integration of mathematics with physics, as well as molecular and cell biology and the neurosciences, will constitute the new frontier of 21st century science, where breakthroughs are more likely to span across traditional disciplines.
Author : Lin Weng
Publisher : World Scientific
ISBN 13 : 9814477931
Total Pages : 411 pages
Book Rating : 4.8/5 (144 download)
Download or read book Arithmetic Geometry And Number Theory written by Lin Weng and published by World Scientific. This book was released on 2006-06-02 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is very much a part of our culture; and this invaluable collection serves the purpose of developing the branches involved, popularizing the existing theories and guiding our future explorations.More precisely, the goal is to bring the reader to the frontier of current developments in arithmetic geometry and number theory through the works of Deninger-Werner in vector bundles on curves over p-adic fields; of Jiang on local gamma factors in automorphic representations; of Weng on Deligne pairings and Takhtajan-Zograf metrics; of Yoshida on CM-periods; of Yu on transcendence of special values of zetas over finite fields. In addition, the lecture notes presented by Weng at the University of Toronto from October to November 2005 explain basic ideas and the reasons (not just the language and conclusions) behind Langlands' fundamental, yet notably difficult, works on the Eisenstein series and spectral decompositions.And finally, a brand new concept by Weng called the Geometric Arithmetic program that uses algebraic and/or analytic methods, based on geometric considerations, to develop the promising and yet to be cultivated land of global arithmetic that includes non-abelian Class Field Theory, Riemann Hypothesis and non-abelian Zeta and L Functions, etc.
Author : Caterina Consani
Publisher : Springer Science & Business Media
ISBN 13 : 3834803529
Total Pages : 374 pages
Book Rating : 4.8/5 (348 download)
Download or read book Noncommutative Geometry and Number Theory written by Caterina Consani and published by Springer Science & Business Media. This book was released on 2007-12-18 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local L-factors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.
Author : A. J. Scholl
Publisher : Cambridge University Press
ISBN 13 : 0521644194
Total Pages : 506 pages
Book Rating : 4.5/5 (216 download)
Download or read book Galois Representations in Arithmetic Algebraic Geometry written by A. J. Scholl and published by Cambridge University Press. This book was released on 1998-11-26 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic algebraic geometry'.
Author : Wilfred W. J. Hulsbergen
Publisher : Springer
ISBN 13 : 3322854663
Total Pages : 246 pages
Book Rating : 4.3/5 (228 download)
Download or read book Conjectures in Arithmetic Algebraic Geometry written by Wilfred W. J. Hulsbergen and published by Springer. This book was released on 2013-03-09 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
