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.
Arbarello, E., Bruno, A., Sernesi, E. (2014). Mukai's program for curves on a K3 surface. ALGEBRAIC GEOMETRY, 1, 532-557 [10.14231/AG-2014-023].
Mukai's program for curves on a K3 surface
BRUNO, Andrea;SERNESI, Edoardo
2014-01-01
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.File in questo prodotto:
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