Mukai's program for curves on a K3 surface

2013/09/02 by Arbarello, Enrico, Bruno, Andrea, Sernesi, Edoardo · 1 citation
#14J28 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1309.0496

Abstract

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 how to reconstruct the K3 surface as a Fourier-Mukai transform of a Brill-Noether locus of rank two vector bundles on C.

Cited by

• Brill--Noether loci in genus ≤ 12

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