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Infinitesimal Deformations and Obstructions for Toric Singularities
 

Summary: Infinitesimal Deformations and Obstructions
for Toric Singularities
Klaus Altmann \Lambda
Institut f¨ur reine Mathematik, Humboldt­Universit¨at zu Berlin
Ziegelstr. 13a, D­10099 Berlin, Germany.
E­mail: altmann@mathematik.hu­berlin.de
Abstract
The obstruction space T 2 and the cup product T 1 \Theta T 1 ! T 2 are computed
for toric singularities.
Contents
1 Introduction 1
2 T 1 , T 2 , and the cup product (in general) 2
3 T 1 , T 2 , and the cup product (for toric varieties) 4
4 Proof of the T 2 ­formula 9
5 Proof of the cup product formula 16
6 An alternative to the complex L(E R ) ffl 20
7 3­dimensional Gorenstein singularities 21
1 Introduction
(1.1) For an affine scheme Y = Spec A, there are two important A­modules,
T 1

  

Source: Altmann, Klaus - Fachbereich Mathematik und Informatik & Institut für Mathematik, Freie Universität Berlin

 

Collections: Mathematics