Interactions Of Classical And Numerical Algebraic Geometry PDF Download
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Author | : Daniel James Bates |
Publisher | : American Mathematical Soc. |
Total Pages | : 379 |
Release | : 2009-09-16 |
Genre | : Mathematics |
ISBN | : 0821847465 |
Download Interactions of Classical and Numerical Algebraic Geometry Book in PDF, ePub and Kindle
This volume contains the proceedings of the conference on Interactions of Classical and Numerical Algebraic Geometry, held May 22-24, 2008, at the University of Notre Dame, in honor of the achievements of Professor Andrew J. Sommese. While classical algebraic geometry has been studied for hundreds of years, numerical algebraic geometry has only recently been developed. Due in large part to the work of Andrew Sommese and his collaborators, the intersection of these two fields is now ripe for rapid advancement. The primary goal of both the conference and this volume is to foster the interaction between researchers interested in classical algebraic geometry and those interested in numerical methods. The topics in this book include (but are not limited to) various new results in complex algebraic geometry, a primer on Seshadri constants, analyses and presentations of existing and novel numerical homotopy methods for solving polynomial systems, a numerical method for computing the dimensions of the cohomology of twists of ideal sheaves, and the application of algebraic methods in kinematics and phylogenetics.
Author | : Gary Kennedy |
Publisher | : American Mathematical Soc. |
Total Pages | : 148 |
Release | : 2015-08-27 |
Genre | : Mathematics |
ISBN | : 1470409909 |
Download Hodge Theory and Classical Algebraic Geometry Book in PDF, ePub and Kindle
This volume contains the proceedings of a conference on Hodge Theory and Classical Algebraic Geometry, held May 13-15, 2013, at The Ohio State University, Columbus, OH. Hodge theory is a powerful tool for the study and classification of algebraic varieties. This volume surveys recent progress in Hodge theory, its generalizations, and applications. The topics range from more classical aspects of Hodge theory to modern developments in compactifications of period domains, applications of Saito's theory of mixed Hodge modules, and connections with derived category theory and non-commutative motives.
Author | : Paolo Aluffi |
Publisher | : Cambridge University Press |
Total Pages | : 395 |
Release | : 2022-04-07 |
Genre | : Mathematics |
ISBN | : 1108792510 |
Download Facets of Algebraic Geometry Book in PDF, ePub and Kindle
Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.
Author | : Piotr Pragacz |
Publisher | : European Mathematical Society |
Total Pages | : 520 |
Release | : 2012 |
Genre | : Geometry, Algebraic |
ISBN | : 9783037191149 |
Download Contributions to Algebraic Geometry Book in PDF, ePub and Kindle
The articles in this volume are the outcome of the Impanga Conference on Algebraic Geometry in 2010 at the Banach Center in Bedlewo. The following spectrum of topics is covered: K3 surfaces and Enriques surfaces Prym varieties and their moduli invariants of singularities in birational geometry differential forms on singular spaces Minimal Model Program linear systems toric varieties Seshadri and packing constants equivariant cohomology Thom polynomials arithmetic questions The main purpose of the volume is to give comprehensive introductions to the above topics, starting from an elementary level and ending with a discussion of current research. The first four topics are represented by the notes from the mini courses held during the conference. In the articles, the reader will find classical results and methods, as well as modern ones. This book is addressed to researchers and graduate students in algebraic geometry, singularity theory, and algebraic topology. Most of the material in this volume has not yet appeared in book form.
Author | : Denis Ibadula |
Publisher | : Springer |
Total Pages | : 295 |
Release | : 2014-10-20 |
Genre | : Mathematics |
ISBN | : 3319091867 |
Download Bridging Algebra, Geometry, and Topology Book in PDF, ePub and Kindle
Algebra, geometry and topology cover a variety of different, but intimately related research fields in modern mathematics. This book focuses on specific aspects of this interaction. The present volume contains refereed papers which were presented at the International Conference “Experimental and Theoretical Methods in Algebra, Geometry and Topology”, held in Eforie Nord (near Constanta), Romania, during 20-25 June 2013. The conference was devoted to the 60th anniversary of the distinguished Romanian mathematicians Alexandru Dimca and Ştefan Papadima. The selected papers consist of original research work and a survey paper. They are intended for a large audience, including researchers and graduate students interested in algebraic geometry, combinatorics, topology, hyperplane arrangements and commutative algebra. The papers are written by well-known experts from different fields of mathematics, affiliated to universities from all over the word, they cover a broad range of topics and explore the research frontiers of a wide variety of contemporary problems of modern mathematics.
Author | : Lucia Caporaso |
Publisher | : Cambridge University Press |
Total Pages | : 437 |
Release | : 2012-03-19 |
Genre | : Mathematics |
ISBN | : 052176825X |
Download Current Developments in Algebraic Geometry Book in PDF, ePub and Kindle
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 | : Daniel J. Bates |
Publisher | : SIAM |
Total Pages | : 372 |
Release | : 2013-11-08 |
Genre | : Science |
ISBN | : 1611972701 |
Download Numerically Solving Polynomial Systems with Bertini Book in PDF, ePub and Kindle
This book is a guide to concepts and practice in numerical algebraic geometry ? the solution of systems of polynomial equations by numerical methods. Through numerous examples, the authors show how to apply the well-received and widely used open-source Bertini software package to compute solutions, including a detailed manual on syntax and usage options. The authors also maintain a complementary web page where readers can find supplementary materials and Bertini input files. Numerically Solving Polynomial Systems with Bertini approaches numerical algebraic geometry from a user's point of view with numerous examples of how Bertini is applicable to polynomial systems. It treats the fundamental task of solving a given polynomial system and describes the latest advances in the field, including algorithms for intersecting and projecting algebraic sets, methods for treating singular sets, the nascent field of real numerical algebraic geometry, and applications to large polynomial systems arising from differential equations. Those who wish to solve polynomial systems can start gently by finding isolated solutions to small systems, advance rapidly to using algorithms for finding positive-dimensional solution sets (curves, surfaces, etc.), and learn how to use parallel computers on large problems. These techniques are of interest to engineers and scientists in fields where polynomial equations arise, including robotics, control theory, economics, physics, numerical PDEs, and computational chemistry.
Author | : David Eisenbud |
Publisher | : Cambridge University Press |
Total Pages | : 463 |
Release | : 2015-11-19 |
Genre | : Mathematics |
ISBN | : 1107065623 |
Download Commutative Algebra and Noncommutative Algebraic Geometry Book in PDF, ePub and Kindle
This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository papers ideal for those entering the field.
Author | : Vladimir P. Gerdt |
Publisher | : Springer |
Total Pages | : 525 |
Release | : 2016-09-08 |
Genre | : Computers |
ISBN | : 3319456415 |
Download Computer Algebra in Scientific Computing Book in PDF, ePub and Kindle
This book constitutes the proceedings of the 18th International Workshop on Computer Algebra in Scientific Computing, CASC 2016, held in Bucharest, Romania, in September 2016. The 32 papers presented in this volume were carefully reviewed and selected from 39 submissions. They deal with cutting-edge research in all major disciplines of Computer Algebra.
Author | : Liviu Ornea |
Publisher | : Springer Nature |
Total Pages | : 729 |
Release | : 2024 |
Genre | : Kählerian manifolds |
ISBN | : 3031581202 |
Download Principles of Locally Conformally Kähler Geometry Book in PDF, ePub and Kindle
This monograph introduces readers to locally conformally Kähler (LCK) geometry and provides an extensive overview of the most current results. A rapidly developing area in complex geometry dealing with non-Kähler manifolds, LCK geometry has strong links to many other areas of mathematics, including algebraic geometry, topology, and complex analysis. The authors emphasize these connections to create a unified and rigorous treatment of the subject suitable for both students and researchers. Part I builds the necessary foundations for those approaching LCK geometry for the first time with full, mostly self-contained proofs and also covers material often omitted from textbooks, such as contact and Sasakian geometry, orbifolds, Ehresmann connections, and foliation theory. More advanced topics are then treated in Part II, including non-Kähler elliptic surfaces, cohomology of holomorphic vector bundles on Hopf manifolds, Kuranishi and Teichmüller spaces for LCK manifolds with potential, and harmonic forms on Sasakian and Vaisman manifolds. Each chapter in Parts I and II begins with motivation and historic context for the topics explored and includes numerous exercises for further exploration of important topics. Part III surveys the current research on LCK geometry, describing advances on topics such as automorphism groups on LCK manifolds, twisted Hamiltonian actions and LCK reduction, Einstein-Weyl manifolds and the Futaki invariant, and LCK geometry on nilmanifolds and on solvmanifolds. New proofs of many results are given using the methods developed earlier in the text. The text then concludes with a chapter that gathers over 100 open problems, with context and remarks provided where possible, to inspire future research. .