DEFORMATIONS OF RATIONAL T-VARIETIES

作者:Ilten Nathan Owen*; Vollmert Robert
来源:Journal of Algebraic Geometry, 2012, 21(3): 531-562.

摘要

We show how to construct certain homogeneous deformations for rational normal varieties with codimension one torus action. This call 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.

  • 出版日期2012-7