Author: Manuel BlicklePublisher:
ISBN:
Category :
Languages : en
Pages : 276
Book Description
The Intersection Homology D-module in Finite Characteristic
Author: Manuel BlickleProgress in Commutative Algebra 2
Author: Christopher FranciscoPublisher: Walter de Gruyter
ISBN: 311027860X
Category : Mathematics
Languages : en
Pages : 329
Book Description
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.
Global Aspects of Complex Geometry
Author: Fabrizio CatanesePublisher: Springer Science & Business Media
ISBN: 3540354808
Category : Mathematics
Languages : en
Pages : 508
Book Description
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
Commutative Algebra and Noncommutative Algebraic Geometry
Author: David EisenbudPublisher: Cambridge University Press
ISBN: 1107065623
Category : Mathematics
Languages : en
Pages : 463
Book Description
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.
Mathematisches Institut Georg-august-universität Göttingen, Seminars Summer 2003/2004
Author: Yuri TschinkelPublisher: Universitätsverlag Göttingen
ISBN: 3930457512
Category : Mathematics
Languages : en
Pages : 252
Book Description
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.
Geometric Aspects of Dwork Theory
Author: Alan AdolphsonPublisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 592
Book Description
Intersection Homology D-module on Local Complete Intersections with Isolated Singularities
Author: Mathematical Sciences Research Institute (Berkeley, Calif.).Publisher:
ISBN:
Category :
Languages : en
Pages : 16
Book Description
An Introduction to Intersection Homology Theory, Second Edition
Author: Frances KirwanPublisher: CRC Press
ISBN: 9781584881841
Category : Mathematics
Languages : en
Pages : 250
Book Description
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.
The Intersection Homology D-module on Hypersurfaces with Isolated Singularities
Author: Kari Kaleva VilonenPublisher:
ISBN:
Category : Homology theory
Languages : en
Pages : 48
Book Description
Author: