Galois structure of the holomorphic differentials of curves

2020/05/20 by Frauke M. Bleher, Ted Chinburg, Aristides Kontogeorgis · 3 citations
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #Cryptography and Residue Arithmetic

paper · doi:10.1016/j.jnt.2020.04.015

Citations

• Representation of cyclic groups in positive characteristic and Weierstrass semigroups
• Action of an automorphism of order p on cohomology groups of an algebraic curve
• Automorphisms and holomorphic differentials in characteristic p
• Galois module structure of holomorphic differentials in characteristicp
• Polydifferentials and the deformation functor of curves with automorphisms
• On the galois module structure of semisimple holomorphic differentials

Cited by

• Holomorphic differentials of alternating four covers
• On the cohomological representations of finite automorphism groups of singular curves and compact complex spaces
• The canonical representation of the Drinfeld curve