A generating set for the canonical ideal of HKG-curves

2020/10/07 by Kontogeorgis, Aristides, Tsouknidas, Ioannis
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2010.03304

Abstract

The canonical ideal for Harbater Katz Gabber covers satisfying the conditions of Petri's theorem is studied and an explicit non-singular model of the above curves is given.

Related

• The Relative Canonical Ideal of the Artin-Schreier-Kummer-Witt family of curves
• A minimal set of generators for the canonical ideal of a non-degenerate curve
• A cohomological treatise of HKG-covers with applications to the Nottingham group
• On Enriques-Babbage Theorem for singular curves
• The canonical ideal and the deformation theory of curves with automorphisms