Complete Intersections
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Complete Intersections
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Author : S. Greco
language : en
Publisher: Springer
Release Date : 2006-12-08
Complete Intersections written by S. Greco and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
Isolated Singular Points On Complete Intersections
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Author : Eduard Looijenga
language : en
Publisher: Cambridge University Press
Release Date : 1984-03
Isolated Singular Points On Complete Intersections written by Eduard Looijenga 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 1984-03 with Mathematics categories.
This book will be of use to professional mathematicians working in algebraic geometry, complex-analytical geometry and, to some extent, differential analysis.
Representation Theory Of Geigle Lenzing Complete Intersections
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Author : Martin Herschend
language : en
Publisher: American Mathematical Society
Release Date : 2023-05-23
Representation Theory Of Geigle Lenzing Complete Intersections written by Martin Herschend and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-23 with Mathematics categories.
View the abstract. https://www.ams.org/bookstore/pspdf/memo-285-1412-abstract.pdf?
The Monodromy Groups Of Isolated Singularities Of Complete Intersections
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Author : Wolfgang Ebeling
language : en
Publisher: Springer
Release Date : 2006-11-15
The Monodromy Groups Of Isolated Singularities Of Complete Intersections written by Wolfgang Ebeling and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Higher Multiplicities And Almost Free Divisors And Complete Intersections
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Author : James Damon
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Higher Multiplicities And Almost Free Divisors And Complete Intersections written by James Damon 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 1996 with Mathematics categories.
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.
Explicit Birational Geometry Of 3 Folds
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Author : Alessio Corti
language : en
Publisher: Cambridge University Press
Release Date : 2000-07-27
Explicit Birational Geometry Of 3 Folds written by Alessio Corti 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 2000-07-27 with Mathematics categories.
This volume, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry.
Algebraic Geometry
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Author : Joe Harris
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Algebraic Geometry written by Joe Harris and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title suggests, a first introduction to the subject. Even so, a few words are in order about the purposes of the book. Algebraic geometry has developed tremendously over the last century. During the 19th century, the subject was practiced on a relatively concrete, down-to-earth level; the main objects of study were projective varieties, and the techniques for the most part were grounded in geometric constructions. This approach flourished during the middle of the century and reached its culmination in the work of the Italian school around the end of the 19th and the beginning of the 20th centuries. Ultimately, the subject was pushed beyond the limits of its foundations: by the end of its period the Italian school had progressed to the point where the language and techniques of the subject could no longer serve to express or carry out the ideas of its best practitioners.
Deformation Theory
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Author : Robin Hartshorne
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-10
Deformation Theory written by Robin Hartshorne and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-10 with Mathematics categories.
The basic problem of deformation theory in algebraic geometry involves watching a small deformation of one member of a family of objects, such as varieties, or subschemes in a fixed space, or vector bundles on a fixed scheme. In this new book, Robin Hartshorne studies first what happens over small infinitesimal deformations, and then gradually builds up to more global situations, using methods pioneered by Kodaira and Spencer in the complex analytic case, and adapted and expanded in algebraic geometry by Grothendieck. The author includes numerous exercises, as well as important examples illustrating various aspects of the theory. This text is based on a graduate course taught by the author at the University of California, Berkeley.
Deformations Of Algebraic Schemes
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Author : Edoardo Sernesi
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-20
Deformations Of Algebraic Schemes written by Edoardo Sernesi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-20 with Mathematics categories.
In one sense, deformation theory is as old as algebraic geometry itself: this is because all algebro-geometric objects can be “deformed” by suitably varying the coef?cients of their de?ning equations, and this has of course always been known by the classical geometers. Nevertheless, a correct understanding of what “deforming” means leads into the technically most dif?cult parts of our discipline. It is fair to say that such technical obstacles have had a vast impact on the crisis of the classical language and on the development of the modern one, based on the theory of schemes and on cohomological methods. The modern point of view originates from the seminal work of Kodaira and Spencer on small deformations of complex analytic manifolds and from its for- lization and translation into the language of schemes given by Grothendieck. I will not recount the history of the subject here since good surveys already exist (e. g. [27], [138], [145], [168]). Today, while this area is rapidly developing, a self-contained text covering the basic results of what we can call “classical deformation theory” seems to be missing. Moreover, a number of technicalities and “well-known” facts are scattered in a vast literature as folklore, sometimes with proofs available only in the complex analytic category. This book is an attempt to ?ll such a gap, at least p- tially.
Gorenstein Liaison Complete Intersection Liaison Invariants And Unobstructedness
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Author : Jan Oddvar Kleppe
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Gorenstein Liaison Complete Intersection Liaison Invariants And Unobstructedness written by Jan Oddvar Kleppe 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 2001 with Mathematics categories.
This paper contributes to the liaison and obstruction theory of subschemes in $\mathbb{P}^n$ having codimension at least three. The first part establishes several basic results on Gorenstein liaison. A classical result of Gaeta on liaison classes of projectively normal curves in $\mathbb{P}^3$ is generalized to the statement that every codimension $c$ ``standard determinantal scheme'' (i.e. a scheme defined by the maximal minors of a $t\times (t+c-1)$ homogeneous matrix), is in the Gorenstein liaison class of a complete intersection. Then Gorenstein liaison (G-liaison) theory is developed as a theory of generalized divisors on arithmetically Cohen-Macaulay schemes. In particular, a rather general construction of basic double G-linkage is introduced, which preserves the even G-liaison class. This construction extends the notion of basic double linkage, which plays a fundamental role in the codimension two situation. The second part of the paper studies groups which are invariant under complete intersection linkage, and gives a number of geometric applications of these invariants. Several differences between Gorenstein and complete intersection liaison are highlighted. For example, it turns out that linearly equivalent divisors on a smooth arithmetically Cohen-Macaulay subscheme belong, in general, to different complete intersection liaison classes, but they are always contained in the same even Gorenstein liaison class. The third part develops the interplay between liaison theory and obstruction theory and includes dimension estimates of various Hilbert schemes. For example, it is shown that most standard determinantal subschemes of codimension $3$ are unobstructed, and the dimensions of their components in the corresponding Hilbert schemes are computed.