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math.AG2014
A minimal set of generators for the canonical ideal of a non-degenerate curve
Wouter Castryck, Filip Cools
We give an explicit way of writing down a minimal set of generators for the canonical ideal of a non-degenerate curve, or of a more general smooth projective curve in a toric surfa…
math.AG2014
A combinatorial interpretation for Schreyer's tetragonal invariants
Wouter Castryck, Filip Cools
Schreyer has proved that the graded Betti numbers of a canonical tetragonal curve are determined by two integers and , associated to the curve through a certain geometri…
math.AG2014
Linear pencils encoded in the Newton polygon
Wouter Castryck, Filip Cools
Let be an algebraic curve defined by a sufficiently generic bivariate Laurent polynomial with given Newton polygon . It is classical that the geometric genus of equals t…