The Birational geometry of degenerations

The Birational geometry of degenerations Download PDF EPUB FB2

Buy The Birational geometry of degenerations (Progress in mathematics) on FREE SHIPPING on qualified orders The Birational geometry of degenerations (Progress in mathematics): Robert & David R. Morrison - editors Friedman:. This volume covers topics in the research area of birational geometry and moduli spaces, including irreducible holomorphic symplectic manifolds, Severi varieties, degeneration of Calabi-Yau varieties, toric Fano threefolds, mirror symmetry, canonical bundle formula, the Lefschetz principle and more.

Birational Geometry Algebraic Var (Cambridge Tracts in Mathematics) 1st Edition by Janos Koll¿r (Author) ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book Cited by: Birational geometry, rational curves, and arithmetic.

Boston: Birkhäuser, ​​​​This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry. It focuses on the geometry of spaces of rational curves, with an emphasis on applications to arithmetic questions.

About this Textbook The aim of this book is to introduce the reader to the geometric theory of algebraic varieties, in particular to the birational geometry of algebraic varieties.

This volume grew out of the author's book in Japanese published in 3 volumes by Iwanami, Tokyo, in The Birational Geometry of Degenerations的话题 (全部 条) 什么是话题 无论是一部作品、一个人，还是一件事，都往往可以衍生出许多不同的话题。. The aim of this book is to introduce the reader to the geometric theory of algebraic varieties, in particular to the birational geometry of algebraic volume grew out of the author's book in Japanese published in 3 volumes by Iwanami, Tokyo, in In Sections 2 and 3 we relate degenerations of Fano manifolds via projections.

Using mirror symmetry The Birational geometry of degenerations book Section 3 we transfer these connections to the side of Landau– Ginzburg model.

Based on that in Section 4 we suggest a generalization of Kawamata’s categorical approach to birational geometry enhancing it via the geometry of moduli. We shall focus especially on the (birational) geometry of In X/C, and on the geometry and the combinatorial structure of the degenerate fibre (In X/C)0.

The main results. Our first main result concerns the birational geometry of the degeneration In X/C →C. Even though X →Cis a semi-stable degeneration, it is too much to hope for in File Size: KB.

This a collection of about exercises. It could be used as a supplement to the book Kollár--Mori: Birational geometry of algebraic by: Abstract. In this paper we connect degenerations of Fano threefolds by projections.

Using Mirror Symmetry we transfer these connections to the side of Landau{Ginzburg models. Based on that we suggest a generalization of Kawamata’s categorical approach to birational geometry enhancing it via geometry of moduli spaces of Landau{Ginzburg models. The Mathematical Sciences Research Institute (MSRI), founded inis an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions.

The Institute is located at 17 Gauss Way, on the University of California, Berkeley campus, close to. overview, The Birational Geometry of Degenerations (R.

Friedman and D. Morrison, eds.), Progress in Math., vol. 29, Birkhäuser, Boston, Basel, Stuttgart,pp. (with R. Miranda), The minus one theorem, The Birational Geometry of. Abstract. In this paper we connect degenerations of Fano threefolds by projections.

Using Mirror Symmetry we transfer these connections to the side of Landau–Ginzburg models. Based on that we suggest a generalization of Kawamata’s categorical approach to birational geometry enhancing it via geometry of moduli spaces of Landau–Ginzburg models.

Birational maps. A rational map from one variety (understood to be irreducible) X to another variety Y, written as a dashed arrow X ⇢ Y, is defined as a morphism from a nonempty open subset U of X to definition of the Zariski topology used in algebraic geometry, a nonempty open subset U is always the complement of a lower-dimensional subset of X.

Additional Physical Format: Online version: Birational geometry of degenerations. Boston: Birkhäuser, (OCoLC) Material Type: Conference publication, Internet resource. OLD E-PRINTS: Unless otherwise indicated, the files below are postscript files. Seminar on Moduli of Surfaces Summer Birational Geometry of Log Surfaces by János Kollár and Sándor Kovács; Moduli of Polarized Schemes by János Kollár; Algebraic Groups Acting on Schemes by János Kollár Bounding Singular Surfaces of General Type by V.

Alexeev and S. The text presents the birational classification of holomorphic foliations of surfaces. It discusses at length the theory developed by L.G. Mendes, M. McQuillan and the author to study foliations of surfaces in the spirit of the classification of complex algebraic cturer: Springer.

Introduction The text presents the birational classification of holomorphic foliations of surfaces. It discusses at length the theory developed by L.G. Mendes, M. McQuillan and the author to study foliations of surfaces in the spirit of the classification of. The text presents the birational classification of holomorphic foliations of surfaces.

It discusses at length the theory developed by L.G. Mendes, M. McQuillan and the author to study foliations of surfaces  in the spirit of the classification of complex algebraic : Hardcover.

Book Description. One of the major discoveries of the last two decades inalgebraic geometry is the realization that the theory ofminimal models of surfaces can be generalized to higherdimensional : $Prom the beginnings of algebraic geometry it has been understood that birationally equivalent varieties have many properties in common.

Thus it is natural to attempt to find in each birational equivalence class a variety which is simplest in some sense, and .Birational geometry is a field of algebraic geometry the goal of which is to determine when two algebraic varieties are isomorphic outside lower-dimensional subsets.

This amounts to studying mappings that are given by rational functions rather than polynomials; the map may fail to be defined where the rational functions have poles.