The canonical ideal and the deformation theory of curves with automorphisms

2021/01/26 by Aristides Kontogeorgis, Kontogeorgis, Aristides, Alexios Terezakis +1
Computer Science · Engineering · #13D02 #14D15 #14H10 #14H37 #Advanced Numerical Analysis Techniques #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Algebraic Geometry (math.AG) #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2101.11084

openalex publication_date 2021/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The deformation theory of curves is studied by using the canonical ideal. The problem of lifting curves with automorphisms is reduced to a lifting problem of linear representations.

Related

• Automorphisms and the canonical ideal
• Deformation of Curves with Automorphisms and representations on Riemann-Roch spaces
• Rolling Factors Deformations and Extensions of Canonical Curves
• A minimal set of generators for the canonical ideal of a non-degenerate curve
• Problems from the workshop on "Automorphisms of Curves" (Leiden, August, 2004)