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Three examples of the relation between rigid-analytic and algebraic deformation parameters
Gunther Cornelissen, Fumiharu Kato, Aristides Kontogeorgis
We consider three examples of families of curves over a non-archimedean valued field which admit a non-trivial group action. These equivariant deformation spaces can be described b…
Deformation of Curves with Automorphisms and representations on Riemann-Roch spaces
Aristides Kontogeorgis
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 defor…
On the Krull Dimension of the deformation ring of curves with automorphisms
A. Kontogeorgis
We reduce the study of the Krull dimension d of the deformation ring of the functor of deformations of curves with automorphisms to the study of the tangent space of the deformatio…
A homological approach for computing the tangent space of the deformation functor of curves with automorphisms
Aristides Kontogeorgis
We give an alternative approach to the computation of the dimension of the tangent space of the deformation space of curves with automorphisms. A homological version of the local-g…
Size of families of curves with large automorphism group in positive characteristic
Aristides Kontogeorgis
This paper has been withdrawn by the author. The main result is wrong, as M.Matignon and C. Lehr provided a counterexample to it.