Mukai's program for curves on a K3 surface

E. Arbarello, A. Bruno, E. Sernesi

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)532-557
Number of pages26
JournalAlgebraic Geometry
Issue number5
Publication statusPublished - 1 Dec 2014
Externally publishedYes


  • K3 surface
  • Stability
  • Vector bundle


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