The canonical ideal and the deformation theory of curves with automorphisms
Aristides Kontogeorgis, Alexios Terezakis
TL;DR
This paper explores the deformation theory of algebraic curves with automorphisms using the canonical ideal, reducing the problem to lifting linear representations, and providing new insights into curve deformations.
Contribution
It introduces a novel approach connecting the deformation theory of curves with automorphisms to the lifting problem of linear representations via the canonical ideal.
Findings
Reduced the problem of lifting curves with automorphisms to linear representation lifting
Provided a new framework for understanding curve deformations using the canonical ideal
Established connections between deformation theory and representation lifting
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.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Polynomial and algebraic computation · Advanced Theoretical and Applied Studies in Material Sciences and Geometry