Let C be a general element in the locus of curves in Mg 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.
Mukai's program for curves on a K3 surface / Arbarello, Enrico; Andrea, Bruno; Edoardo, Sernesi. - In: ALGEBRAIC GEOMETRY. - ISSN 2214-2584. - ELETTRONICO. - 4:1(2014), pp. 1-26. [10.14231/AG-2014-020]
Mukai's program for curves on a K3 surface
ARBARELLO, Enrico;
2014
Abstract
Let C be a general element in the locus of curves in Mg 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 allegati a questo prodotto
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