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Existence of covers with fixed ramification in positive characteristic
Existence of covers fixed ramification positive characteristic Algebraic Geometry
2012/6/25
We discuss two elementary constructions for covers with fixed ramification in positive characteristic. As an application, we compute the number of certain classes of covers between projective lines br...
Representations of cyclic groups in positive characteristic and Weierstrass semigroups
Automorphisms Curves Differentials Numerical Semigroups
2011/9/20
Abstract: We study the $k[G]$-module structure of the space of holomorphic differentials of a curve defined over an algebraically closed field of positive characteristic, for a cyclic group $G$ of ord...
An ampleness criterion with the extendability of singular positive metrics
Psh functions Singular metrics Currents ample line bundles
2011/9/13
Abstract: Coman, Guedj and Zeriahi proved that, for an ample line bundle $L$ on a projective manifold $X$, any singular positive metric on the line bundle $L|_{V}$ along a subvariety $V \subset X$ can...
Iterative Differential Embedding Problems in positive Characteristic
Differential Embedding Problems positive Characteristic Algebraic Geometry Group Theory
2011/9/1
Abstract: In this paper, we prove that every iterative differential embedding problem over an algebraic function field in positive characteristic with an algebraically closed field of constants has a ...