Automorphisms of Curves and Weierstrass semigroups

2010/05/17 by Sotiris Karanikolopoulos, Aristides Kontogeorgis, Karanikolopoulos, Sotiris +1
Mathematics · #14H37 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric and Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1005.2871

openalex publication_date 2010/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The relation of the Weierstrass semigroup with several invariants of a curve is studied. For Galois covers of curves with group G we introduce a new filtration of the group decomposition subgroup of G. The relation to the ramification filtration is investigated in the case of cyclic covers. We relate our results to invariants defined by Boseck and we study the one point ramification case. We also give applications to Hasse-Witt invariant and symmetric semigroups.

Related

• Automorphisms of Curves and Weierstrass semigroups for Harbater-Katz-Gabber covers
• Weierstrass semigroup and Automorphism group of the curves X_n,r
• The Weierstrass semigroups on double covers of genus two curves
• New examples of Weierstrass semigroups associated with a double covering of a curve on a Hirzebruch surface of degree one
• Representations of cyclic groups in positive characteristic and Weierstrass semigroups