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The generic Green-Lazarsfeld secant conjecture
Gavril Farkas, Michael Kemeny
Generalizing the well-known Green Conjecture on syzygies of canonical curves, Green and Lazarsfeld formulated in 1986 the Secant Conjecture predicting that a line bundle L of suffi…
math.AG2014
The Moduli of Singular Curves on K3 Surfaces
Michael Kemeny
In this article we consider moduli properties of singular curves on K3 surfaces. Let denote the stack of primitively polarized K3 surfaces of genus and…