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math.AG2017
The resolution of paracanonical curves of odd genus
Gavril Farkas, Michael Kemeny
The Prym-Green conjecture predicts that the resolution of a general level p paracanonical curve of genus g is natural. Using decomposable ruled surfaces over an elliptic curve, we…
math.AG2017★ 7 cited
Quadric rank loci on moduli of curves and K3 surfaces
Gavril Farkas, Richard Rimanyi
Given two vector bundles E and F on a variety X and a morphism from Sym^2(E) to F, we compute the cohomology class of the locus in X where the kernel of this morphism contains a qu…
math.AG2017
Progress on syzygies of algebraic curves
Gavril Farkas
These lectures discuss recent advances on syzygies on algebraic curves, especially concerning the Green, the Prym-Green and the Green-Lazarsfeld Secant Conjectures. The methods use…