The Intersection Homology D-module in Finite Characteristic PDF Download

Author: Manuel Blickle
Publisher:
ISBN:
Category :
Languages : en
Pages : 276

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Author: Christopher Francisco
Publisher: Walter de Gruyter
ISBN: 311027860X
Category : Mathematics
Languages : en
Pages : 329

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This is the second of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry). This volume contains surveys on aspects of closure operations, finiteness conditions and factorization. Closure operations on ideals and modules are a bridge between noetherian and nonnoetherian commutative algebra. It contains a nice guide to closure operations by Epstein, but also contains an article on test ideals by Schwede and Tucker and one by Enescu which discusses the action of the Frobenius on finite dimensional vector spaces both of which are related to tight closure. Finiteness properties of rings and modules or the lack of them come up in all aspects of commutative algebra. However, in the study of non-noetherian rings it is much easier to find a ring having a finite number of prime ideals. The editors have included papers by Boynton and Sather-Wagstaff and by Watkins that discuss the relationship of rings with finite Krull dimension and their finite extensions. Finiteness properties in commutative group rings are discussed in Glaz and Schwarz's paper. And Olberding's selection presents us with constructions that produce rings whose integral closure in their field of fractions is not finitely generated. The final three papers in this volume investigate factorization in a broad sense. The first paper by Celikbas and Eubanks-Turner discusses the partially ordered set of prime ideals of the projective line over the integers. The editors have also included a paper on zero divisor graphs by Coykendall, Sather-Wagstaff, Sheppardson and Spiroff. The final paper, by Chapman and Krause, concerns non-unique factorization.

Author: Yuri Tschinkel
Publisher: Universitätsverlag Göttingen
ISBN: 3930457512
Category : Mathematics
Languages : en
Pages : 252

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This volume contains lecture notes from the seminars [alpha]Number Theory", [alpha]Algebraic Geometry" and [alpha]Geometric methods in representation theory" which took place at the Mathematics Institute of the University of Göttingen during the Winter Term 2003-2004. Most contributions report on recent work by the authors.

Author: David Eisenbud
Publisher: Cambridge University Press
ISBN: 1107065623
Category : Mathematics
Languages : en
Pages : 463

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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: Fabrizio Catanese
Publisher: Springer Science & Business Media
ISBN: 3540354808
Category : Mathematics
Languages : en
Pages : 508

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This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kähler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry

Author: Alan Adolphson
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 592

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Author: Greg Friedman
Publisher: Cambridge University Press
ISBN: 1107150744
Category : Mathematics
Languages : en
Pages : 823

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The first expository book-length introduction to intersection homology from the viewpoint of singular and piecewise linear chains.

Author: Frances Kirwan
Publisher: CRC Press
ISBN: 9781584881841
Category : Mathematics
Languages : en
Pages : 250

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Now more that a quarter of a century old, intersection homology theory has proven to be a powerful tool in the study of the topology of singular spaces, with deep links to many other areas of mathematics, including combinatorics, differential equations, group representations, and number theory. Like its predecessor, An Introduction to Intersection Homology Theory, Second Edition introduces the power and beauty of intersection homology, explaining the main ideas and omitting, or merely sketching, the difficult proofs. It treats both the basics of the subject and a wide range of applications, providing lucid overviews of highly technical areas that make the subject accessible and prepare readers for more advanced work in the area. This second edition contains entirely new chapters introducing the theory of Witt spaces, perverse sheaves, and the combinatorial intersection cohomology of fans. Intersection homology is a large and growing subject that touches on many aspects of topology, geometry, and algebra. With its clear explanations of the main ideas, this book builds the confidence needed to tackle more specialist, technical texts and provides a framework within which to place them.

Author: David Eisenbud
Publisher: Cambridge University Press
ISBN: 1107017084
Category : Mathematics
Languages : en
Pages : 633

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3264, the mathematical solution to a question concerning geometric figures.

Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 994

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