Deformations of Smooth Toric Surfaces
نویسنده
چکیده
For a complete, smooth toric variety Y , we describe the graded vector space T 1 Y . Furthermore, we show that smooth toric surfaces are unobstructed and that a smooth toric surface is rigid if and only if it is Fano. For a given toric surface we then construct homogeneous deformations by means of Minkowski decompositions of polyhedral subdivisions, compute their images under the Kodaira-Spencer map, and show that they span T 1 Y .
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تاریخ انتشار 2009