Work

Deformations of rational 𝑇-varieties

Year: 2011

Type: article

Abstract: We show how to construct certain homogeneous deformations for rational normal varieties with codimension one torus action. This can then be used to construct homogeneous deformations of any toric variety in arbitrary degree. For locally trivial deformations coming from this construction, we calculate the image of the Kodaira-Spencer map. We then show that for a smooth complete toric variety, our homogeneous deformations span the space of first-order deformations.

Source: Journal of Algebraic Geometry

DOI: 10.1090/s1056-3911-2011-00585-7

Authors: Nathan Ilten, Robert Vollmert

Institutions: Max Planck Institute for Mathematics, University of California, Berkeley, Freie Universität Berlin

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2009727346

FWCI: 5.248

Cites: 17

Cited by: 34

Related to: 10