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math.AG2013
Mukai's program for curves on a K3 surface
Enrico Arbarello, Andrea Bruno, Edoardo Sernesi
Let C be a general element in the locus of curves in M_g lying on some K3 surface, where g is congruent to 3 mod 4 and greater than or equal to 15. Following Mukai's ideas, we show…
math.AG2013
The local cohomology of the jacobian ring
Edoardo Sernesi
We study the 0-th local cohomology module of the jacobian ring of a singular reduced complex projective hypersurface X, by relating it to the sheaf of logarithmic vector field alon…