Syzygies, finite length modules, and random curves

2014/03/03 by Christine Berkesch, Frank–Olaf Schreyer, Berkesch, Christine +1
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1403.0581

Abstract

We apply the theory of Groebner bases to the computation of free resolutions over a polynomial ring, the defining equations of a canonically embedded curve, and the unirationality of the moduli space of curves of a fixed genus.

Related

• Monomial curves and locally linear resolution
• Syzygies of curves beyond Green's Conjecture
• The Symmetric Algebra for Certain Monomial Curves
• A Minimal Groebner Basis for the Defining Ideals of Certain Affine Monomial Curves
• Notes on Gröbner Bases and Free Resolutions of Modules over Solvable Polynomial Algebras