Integral Points On Algebraic Varieties With Special Emphasis On Complements Of Divisors
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Integral Points On Algebraic Varieties With Special Emphasis On Complements Of Divisors
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Author : Andrea Ciappi
language : en
Publisher:
Release Date : 2015
Integral Points On Algebraic Varieties With Special Emphasis On Complements Of Divisors written by Andrea Ciappi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
Integral Points On Algebraic Varieties
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Author : Pietro Corvaja
language : en
Publisher: Springer
Release Date : 2016-11-23
Integral Points On Algebraic Varieties written by Pietro Corvaja and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-23 with Mathematics categories.
This book is intended to be an introduction to Diophantine geometry. The central theme of the book is to investigate the distribution of integral points on algebraic varieties. This text rapidly introduces problems in Diophantine geometry, especially those involving integral points, assuming a geometrical perspective. It presents recent results not available in textbooks and also new viewpoints on classical material. In some instances, proofs have been replaced by a detailed analysis of particular cases, referring to the quoted papers for complete proofs. A central role is played by Siegel’s finiteness theorem for integral points on curves. The book ends with the analysis of integral points on surfaces.
Rational Points Rational Curves And Entire Holomorphic Curves On Projective Varieties
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Author : Carlo Gasbarri
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-12-22
Rational Points Rational Curves And Entire Holomorphic Curves On Projective Varieties written by Carlo Gasbarri and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-22 with Mathematics categories.
This volume contains papers from the Short Thematic Program on Rational Points, Rational Curves, and Entire Holomorphic Curves and Algebraic Varieties, held from June 3-28, 2013, at the Centre de Recherches Mathématiques, Université de Montréal, Québec, Canada. The program was dedicated to the study of subtle interconnections between geometric and arithmetic properties of higher-dimensional algebraic varieties. The main areas of the program were, among others, proving density of rational points in Zariski or analytic topology on special varieties, understanding global geometric properties of rationally connected varieties, as well as connections between geometry and algebraic dynamics exploring new geometric techniques in Diophantine approximation. This book is co-published with the Centre de Recherches Mathématiques.
Algebraic Curves And Their Applications
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Author : Lubjana Beshaj
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-02-26
Algebraic Curves And Their Applications written by Lubjana Beshaj and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-26 with Mathematics categories.
This volume contains a collection of papers on algebraic curves and their applications. While algebraic curves traditionally have provided a path toward modern algebraic geometry, they also provide many applications in number theory, computer security and cryptography, coding theory, differential equations, and more. Papers cover topics such as the rational torsion points of elliptic curves, arithmetic statistics in the moduli space of curves, combinatorial descriptions of semistable hyperelliptic curves over local fields, heights on weighted projective spaces, automorphism groups of curves, hyperelliptic curves, dessins d'enfants, applications to Painlevé equations, descent on real algebraic varieties, quadratic residue codes based on hyperelliptic curves, and Abelian varieties and cryptography. This book will be a valuable resource for people interested in algebraic curves and their connections to other branches of mathematics.
Algebraic Varieties Minimal Models And Finite Generation
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Author : Yujiro Kawamata
language : en
Publisher: Cambridge University Press
Release Date : 2024-06-30
Algebraic Varieties Minimal Models And Finite Generation written by Yujiro Kawamata and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-30 with Mathematics categories.
The finite generation theorem is a major achievement of modern algebraic geometry. Based on the minimal model theory, it states that the canonical ring of an algebraic variety defined over a field of characteristic zero is a finitely generated graded ring. This graduate-level text is the first to explain this proof. It covers the progress on the minimal model theory over the last 30 years, culminating in the landmark paper on finite generation by Birkar-Cascini-Hacon-McKernan. Building up to this proof, the author presents important results and techniques that are now part of the standard toolbox of birational geometry, including Mori's bend and break method, vanishing theorems, positivity theorems and Siu's analysis on multiplier ideal sheaves. Assuming only the basics in algebraic geometry, the text keeps prerequisites to a minimum with self-contained explanations of terminology and theorems.
Torsors Tale Homotopy And Applications To Rational Points
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Author : Alexei Skorobogatov
language : en
Publisher: Cambridge University Press
Release Date : 2013-04-18
Torsors Tale Homotopy And Applications To Rational Points written by Alexei Skorobogatov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Mathematics categories.
Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry.
European Congress Of Mathematics
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Author : Ari Laptev
language : en
Publisher: European Mathematical Society
Release Date : 2005
European Congress Of Mathematics written by Ari Laptev and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
The European Congress of Mathematics, held every four years, has established itself as a major international mathematical event. Following those in Paris, 1992, Budapest, 1996, and Barcelona, 2000, the Fourth European Congress of Mathematics took place in Stockholm, Sweden, June 27 to July 2, 2004, with 913 participants from 65 countries. Apart from seven plenary and thirty three invited lectures, there were six Science Lectures covering the most relevant aspects of mathematics in science and technology. Moreover, twelve projects of the EU Research Training Networks in Mathematics and Information Sciences, as well as Programmes from the European Science Foundation in Physical and Engineering Sciences, were presented. Ten EMS Prizes were awarded to young European mathematicians who have made a particular contribution to the progress of mathematics. Five of the prizewinners were independently chosen by the 4ECM Scientific Committee as plenary or invited speakers. The other five prizewinners gave their lectures in parallel sessions. Most of these contributions are now collected in this volume, providing a permanent record of so much that is best in mathematics today.
Physics And Combinatorics Procs Of Nagoya 1999 Intl Wkshp
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Author : Anatol N Kirillov
language : en
Publisher: World Scientific
Release Date : 2001-04-02
Physics And Combinatorics Procs Of Nagoya 1999 Intl Wkshp written by Anatol N Kirillov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-02 with Science categories.
This volume contains research and review papers on different branches of mathematics and mathematical physics, written by the leading specialists. Among the contributed papers are articles on: (i) multiple basic hypergeometric functions with applications to the number theory, (ii) birational representations of affine Weyl groups with applications to discrete integrable systems, (iii) algebraic geometry and Painleve VI, and (iv) combinatorics of Kostka-Foulkes polynomials.
3264 And All That
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Author : David Eisenbud
language : en
Publisher: Cambridge University Press
Release Date : 2016-04-14
3264 And All That written by David Eisenbud and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-14 with Mathematics categories.
3264, the mathematical solution to a question concerning geometric figures.
An Introduction To Algebraic Geometry
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Author : Frank-Olaf Schreyer
language : en
Publisher: Springer Nature
Release Date : 2025-04-30
An Introduction To Algebraic Geometry written by Frank-Olaf Schreyer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-30 with Mathematics categories.
Algebraic Geometry is a huge area of mathematics which went through several phases: Hilbert's fundamental paper from 1890, sheaves and cohomology introduced by Serre in the 1950s, Grothendieck's theory of schemes in the 1960s and so on. This book covers the basic material known before Serre's introduction of sheaves to the subject with an emphasis on computational methods. In particular, we will use Gröbner basis systematically. The highlights are the Nullstellensatz, Gröbner basis, Hilbert's syzygy theorem and the Hilbert function, Bézout’s theorem, semi-continuity of the fiber dimension, Bertini's theorem, Cremona resolution of plane curves and parametrization of rational curves. In the final chapter we discuss the proof of the Riemann-Roch theorem due to Brill and Noether, and give its basic applications.The algorithm to compute the Riemann-Roch space of a divisor on a curve, which has a plane model with only ordinary singularities, use adjoint systems. The proof of the completeness of adjoint systems becomes much more transparent if one use cohomology of coherent sheaves. Instead of giving the original proof of Max Noether, we explain in an appendix how this easily follows from standard facts on cohomology of coherent sheaves. The book aims at undergraduate students. It could be a course book for a first Algebraic Geometry lecture, and hopefully motivates further studies.