Serre’s twisting theorem

Let X be a scheme, and 𝔏 an ample invertible sheaf on X. Then for any coherent sheaf , and sufficiently large n, Hi(𝔏n)=0, that is, the higher sheaf cohomology of 𝔏n is trivial.

Title Serre’s twisting theorem
Canonical name SerresTwistingTheorem
Date of creation 2013-03-22 13:52:50
Last modified on 2013-03-22 13:52:50
Owner bwebste (988)
Last modified by bwebste (988)
Numerical id 5
Author bwebste (988)
Entry type Theorem
Classification msc 14A99