Mathematics – Algebraic Geometry
Scientific paper
2009-05-08
Mathematics
Algebraic Geometry
25 pages, corrected typos, changes in presentation, a closed formula for the calculation in section 5, 2 case is added
Scientific paper
In this paper we study the space $\Omega(m)$, of holomorphic $m$-(poly)differentials of a function field of a curve defined over an algebraically closed field of characteristic $p>0$ when $G$ is cyclic or elementary abelian group of order $p^n$; we give bases for each case when the base field is rational, introduce the Boseck invariants and give an elementary approach to the $G$ module structure of $\Omega(m)$ in terms of Boseck invariants. The last computation is achieved without any restriction on the base field in the cyclic case, while in the elementary abelian case it is assumed that the base field is rational. An application to the computation of the tangent space of the deformation functor of curves with automorphisms is given.
No associations
LandOfFree
On holomorphic polydifferentials in positive characteristic does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On holomorphic polydifferentials in positive characteristic, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On holomorphic polydifferentials in positive characteristic will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-703318