A sharp vanishing theorem for line bundles on K3 or Enriques surfaces
A. L. Knutsen, A. F. Lopez
Abstract
Let L be a line bundle on a K3 or Enriques surface. We give a vanishing theorem for H1(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 (reference [KL1]) and of Enriques-Fano threefolds (reference [KLM]).
Create a lesson
Related papers
Infinite transitivity of tame groups of automorphisms of affine spaces
Alexander Borisov, Ofer Gabber, Adrian Vasiu
Weighted Syzygies of Pointed Curves
Maya Banks, John Cobb, Mahrud Sayrafi
The Absolute Twistor Line and the Geometry of Spec\, Z
Alain Connes, Caterina Consani
A holomorphic (2, 2)-Theorem for Abelian varieties of CM-type
Fritz Hörmann
Thom series in negative relative codimension
László M. Fehér, Ákos K. Matszangosz
Nonexistence of degree two rational multisections of conic bundles over the plane
Jeffrey Diller, Lena Ji, Eric Riedl