Let L be a line bundle on a K3 or Enriques surface. We give a vanishing theorem for H^1(L) that, unlike most vanishing theorems, gives necessary and sufficient geometrical conditions for the vanishing. This result is essential in our study of Brill-Noether theory of curves on Enriques surfaces and of Enriques-Fano threefolds.
Lopez, A., Knutsen, A.L. (2007). A sharp vanishing theorem for line bundles on K3 or Enriques surfaces. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 135, 3495-3498.
A sharp vanishing theorem for line bundles on K3 or Enriques surfaces
LOPEZ, Angelo;
2007-01-01
Abstract
Let L be a line bundle on a K3 or Enriques surface. We give a vanishing theorem for H^1(L) that, unlike most vanishing theorems, gives necessary and sufficient geometrical conditions for the vanishing. This result is essential in our study of Brill-Noether theory of curves on Enriques surfaces and of Enriques-Fano threefolds.File in questo prodotto:
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