Complete Intersections

Author : Satya Mandal
Publisher : Springer
Page : 121 pages
File Size : 40,6 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540695981

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Projective Modules and Complete Intersections by Satya Mandal Pdf

In these notes on "Projective Modules and Complete Intersections" an account on the recent developments in research on this subject is presented. The author's preference for the technique of Patching isotopic isomorphisms due to Quillen, formalized by Plumsted, over the techniques of elementary matrices is evident here. The treatment of Basic Element theory here incorporates Plumstead's idea of the "generalized dimension functions." These notes are highly selfcontained and should be accessible to any graduate student in commutative algebra or algebraic geometry. They include fully self-contained presentations of the theorems of Ferrand-Szpiro, Cowsik-Nori and the techniques of Lindel.

Author : Eduard Looijenga
Publisher : Cambridge University Press
Page : 217 pages
File Size : 47,8 Mb
Release : 1984-03
Category : Mathematics
ISBN : 9780521286749

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Isolated Singular Points on Complete Intersections by Eduard Looijenga Pdf

This book will be of use to professional mathematicians working in algebraic geometry, complex-analytical geometry and, to some extent, differential analysis.

Author : S. Greco,R. Strano
Publisher : Springer
Page : 309 pages
File Size : 46,5 Mb
Release : 2006-12-08
Category : Mathematics
ISBN : 9783540390893

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Complete Intersections by S. Greco,R. Strano Pdf

Author : James Damon
Publisher : American Mathematical Soc.
Page : 130 pages
File Size : 44,8 Mb
Release : 1996
Category : Holomorphic mappings
ISBN : 9780821804810

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Higher Multiplicities and Almost Free Divisors and Complete Intersections by James Damon Pdf

Almost free divisors and complete intersections form a general class of nonisolated hypersurface and completer intersection singularities. They also include discriminants of mappings, bifurcation sets, and certain types of arrangements of hyperplanes such as Coxeter arrangements and generic arrangements. Associated to the singularities of this class is a "singular Milnor fibration" which has the same homotopy properties as the Milnor fibration for isolated singularities. This memoir deduces topological properties of singularities in a number of situations including: complements of hyperplane arrangements, various nonisolated complete intersections, nonlinear arrangements of hypersurfaces, functions on discriminants, singularities defined by compositions of functions, and bifurcation sets.

Author : David Eisenbud,Irena Peeva
Publisher : Springer
Page : 107 pages
File Size : 43,8 Mb
Release : 2016-03-08
Category : Mathematics
ISBN : 9783319264370

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Minimal Free Resolutions over Complete Intersections by David Eisenbud,Irena Peeva Pdf

This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957. The theory extends the theory of matrix factorizations of a non-zero divisor, initiated by Eisenbud in 1980, which yields a description of the eventual structure of minimal free resolutions over a hypersurface ring. Matrix factorizations have had many other uses in a wide range of mathematical fields, from singularity theory to mathematical physics.

Author : Martin Herschend,Osamu Iyama,Hiroyuki Minamoto,Steffen Oppermann
Publisher : American Mathematical Society
Page : 156 pages
File Size : 41,8 Mb
Release : 2023-05-23
Category : Mathematics
ISBN : 9781470456313

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Representation Theory of Geigle-Lenzing Complete Intersections by Martin Herschend,Osamu Iyama,Hiroyuki Minamoto,Steffen Oppermann Pdf

View the abstract. https://www.ams.org/bookstore/pspdf/memo-285-1412-abstract.pdf?

Author : Wolfgang Ebeling
Publisher : Springer
Page : 166 pages
File Size : 50,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540480723

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The Monodromy Groups of Isolated Singularities of Complete Intersections by Wolfgang Ebeling Pdf

Author : Alessio Corti,Miles Reid
Publisher : Cambridge University Press
Page : 364 pages
File Size : 46,7 Mb
Release : 2000-07-27
Category : Mathematics
ISBN : 0521636418

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Explicit Birational Geometry of 3-folds by Alessio Corti,Miles Reid Pdf

This volume, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry.

Author : William Fulton,Serge Lang
Publisher : Springer Science & Business Media
Page : 215 pages
File Size : 43,6 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475718584

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Riemann-Roch Algebra by William Fulton,Serge Lang Pdf

In various contexts of topology, algebraic geometry, and algebra (e.g. group representations), one meets the following situation. One has two contravariant functors K and A from a certain category to the category of rings, and a natural transformation p:K--+A of contravariant functors. The Chern character being the central exam ple, we call the homomorphisms Px: K(X)--+ A(X) characters. Given f: X--+ Y, we denote the pull-back homomorphisms by and fA: A(Y)--+ A(X). As functors to abelian groups, K and A may also be covariant, with push-forward homomorphisms and fA: A(X)--+ A(Y). Usually these maps do not commute with the character, but there is an element r f E A(X) such that the following diagram is commutative: K(X)~A(X) fK j J~A K(Y) --p;-+ A(Y) The map in the top line is p x multiplied by r f. When such commutativity holds, we say that Riemann-Roch holds for f. This type of formulation was first given by Grothendieck, extending the work of Hirzebruch to such a relative, functorial setting. Since then viii INTRODUCTION several other theorems of this Riemann-Roch type have appeared. Un derlying most of these there is a basic structure having to do only with elementary algebra, independent of the geometry. One purpose of this monograph is to describe this algebra independently of any context, so that it can serve axiomatically as the need arises.

Author : James Michael Hornell
Publisher : Unknown
Page : 200 pages
File Size : 42,8 Mb
Release : 1967
Category : Electronic
ISBN : UCAL:C2970418

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Complete Intersections on an Algebraic Variety by James Michael Hornell Pdf

Author : Leonid A. Bokut',A. I. Kostrikin
Publisher : American Mathematical Soc.
Page : 696 pages
File Size : 47,5 Mb
Release : 1992
Category : Algebra
ISBN : 9780821851388

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Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$'$cev by Leonid A. Bokut',A. I. Kostrikin Pdf

Author : A. Kashiwara,A. Matsuo,K. Saito,I. Satake
Publisher : Springer Science & Business Media
Page : 492 pages
File Size : 44,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461207054

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Topological Field Theory, Primitive Forms and Related Topics by A. Kashiwara,A. Matsuo,K. Saito,I. Satake Pdf

As the interaction of mathematics and theoretical physics continues to intensify, the theories developed in mathematics are being applied to physics, and conversely. This book centers around the theory of primitive forms which currently plays an active and key role in topological field theory (theoretical physics), but was originally developed as a mathematical notion to define a "good period mapping" for a family of analytic structures. The invited papers in this volume are expository in nature by participants of the Taniguchi Symposium on "Topological Field Theory, Primitive Forms and Related Topics" and the RIMS Symposium bearing the same title, both held in Kyoto. The papers reflect the broad research of some of the world's leading mathematical physicists, and should serve as an excellent resource for researchers as well as graduate students of both disciplines.

Author : Santiago López de Medrano
Publisher : Springer Nature
Page : 277 pages
File Size : 47,5 Mb
Release : 2023-05-24
Category : Mathematics
ISBN : 9783031283642

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Topology and Geometry of Intersections of Ellipsoids in R^n by Santiago López de Medrano Pdf

This book gives an overview of research in the topology and geometry of intersections of quadrics in $\mathbb{R}^n$, with a focus on intersections of concentric ellipsoids and related spaces. Unifying and organizing material previously spread over many articles, it also contains new results. The first part provides very detailed foundations of a wide-ranging theory that could be useful for future developments. It includes chapters on general intersections of quadrics, operations on them, and intersections of concentric and coaxial quadrics. Moving from the general to the specific, the second part focuses on a topological description of transverse intersections of concentric ellipsoids, including a complete description of the case of three ellipsoids, and of some large families of more than three of them. The third part looks at relations to other areas of mathematics such as dynamical systems, complex geometry, contact and symplectic geometry, and other applications. An appendix gathers some technical items and also gives an account of the origins, motivations and progression of the subject, including historical recollections of the author, who has been central to its development.

Author : Peter Orlik,American Mathematical Society
Publisher : American Mathematical Soc.
Page : 698 pages
File Size : 44,5 Mb
Release : 1983
Category : Mathematics
ISBN : 9780821814666

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Singularities, Part 2 by Peter Orlik,American Mathematical Society Pdf

On April 7-10, 1980, the American Mathematical Society sponsored a Symposium on the Mathematical Heritage of Henri Poincari, held at Indiana University, Bloomington, Indiana. This work presents the written versions of all but three of the invited talks presented at this Symposium. It contains 2 papers by invited speakers who aren't able to attend.

Author : H. Flenner,L. O'Carroll,W. Vogel
Publisher : Springer Science & Business Media
Page : 307 pages
File Size : 40,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662038178

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Joins and Intersections by H. Flenner,L. O'Carroll,W. Vogel Pdf

Dedicated to the memory of Wolfgang Classical Intersection Theory (see for example Wei! [Wei]) treats the case of proper intersections, where geometrical objects (usually subvarieties of a non singular variety) intersect with the expected dimension. In 1984, two books appeared which surveyed and developed work by the individual authors, co workers and others on a refined version of Intersection Theory, treating the case of possibly improper intersections, where the intersection could have ex cess dimension. The first, by W. Fulton [Full] (recently revised in updated form), used a geometrical theory of deformation to the normal cone, more specifically, deformation to the normal bundle followed by moving the zero section to make the intersection proper; this theory was due to the author together with R. MacPherson and worked generally for intersections on algeb raic manifolds. It represents nowadays the standard approach to Intersection Theory. The second, by W. Vogel [Vogl], employed an algebraic approach to inter sections; although restricted to intersections in projective space it produced an intersection cycle by a simple and natural algorithm, thus leading to a Bezout theorem for improper intersections. It was developed together with J. Stiickrad and involved a refined version of the classical technique ofreduc tion to the diagonal: here one starts with the join variety and intersects with successive hyperplanes in general position, laying aside components which fall into the diagonal and intersecting the residual scheme with the next hyperplane; since all the hyperplanes intersect in the diagonal, the process terminates.