کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598366 1336279 2007 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Polydifferentials and the deformation functor of curves with automorphisms
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Polydifferentials and the deformation functor of curves with automorphisms
چکیده انگلیسی

We give a relation between the dimension of the tangent space of the deformation functor of curves with automorphisms and the Galois module structure of the space of 2-holomorphic differentials. We prove a homological version of the local–global principle similar to the one of J. Bertin and A. Mézard. Let GG be a cyclic subgroup of the group of automorphisms of a curve XX, so that the order of GG is equal to the characteristic. By using the results of S. Nakajima on the Galois module structure of the space of 2-holomorphic differentials, we compute the dimension of the tangent space of the deformation functor.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 210, Issue 2, August 2007, Pages 551–558
نویسندگان
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