Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
One parameter families containing three dimensional toric Gorenstein singularities
 

Summary: One parameter families containing three
dimensional toric Gorenstein singularities
Klaus Altmann
Contents
1 Introduction 1
2 Visualizing T 1 3
3 Genuine deformations 9
4 Three dimensional toric Gorenstein singularities 14
5 Work in progress and open problems 24
1 Introduction
1.1
Let  be a rational, polyhedral cone and Y = Y  the aÆne toric variety
it de nes, which is normal but possibly singular; we study the deformation
theory of Y . The in nitesimal deformation space T 1
Y is a multigraded vector
space, with homogeneous pieces determined by the combinatorial formulas of
[Al 1].
If Y  has only an isolated Gorenstein singularity, we can say even more
(cf. [Al 2], [Al 3]): T 1 is concentrated in a single multidegree, and the cor-
responding homogeneous piece has an elementary geometric description in

  

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

 

Collections: Mathematics