Deformation of Curves with Automorphisms and representations on Riemann-Roch spaces

Details Deformation of Curves with Automorphisms and representations on Riemann-Roch spaces Deformation of Curves with Automorphisms and representations on Riemann-Roch spaces

2008-04-10

arxiv.org/abs/0804.1647v1

Mathematics

Algebraic Geometry

Scientific paper

We study the deformation theory of nonsigular projective curves defined over algebraic closed fields of positive characteristic. We show that under some assumptions the local deformation problem for automorphisms of powerseries can be reduced to a deformation problem for matrix representations. We study both equicharacteristic and mixed deformations in the case of two dimensional representations.

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