Quaternionic Dolbeault complex and vanishing theorems on hyperkahler manifolds

Details Quaternionic Dolbeault complex and vanishing theorems on hyperkahler manifolds Quaternionic Dolbeault complex and vanishing theorems on hyperkahler manifolds

2006-04-13

arxiv.org/abs/math/0604303v2

Compos. Math. 143 (2007), no. 6, 1576--1592

Mathematics

Algebraic Geometry

30 pages, version 2 - misprints corrected, some arguments improved

Scientific paper

Let (M,I,J,K) be a hyperkahler manifold of real dimension 4n, and L a non-trivial holomorphic line bundle on (M,I). Using the quaternionic Dolbeault complex, we prove the following vanishing theorem for holomorphic cohomology of L. If the Chern class c_1(L) lies in the closure $\hat K$ of the dual Kahler cone, then $H^i(L)=0$ for i>n. If c_1(L) lies in the opposite cone $-\hat K$, then $H^i(L)=0$ for i

Affiliated with

Also associated with

No associations

Rating

Quaternionic Dolbeault complex and vanishing theorems on hyperkahler manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quaternionic Dolbeault complex and vanishing theorems on hyperkahler manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quaternionic Dolbeault complex and vanishing theorems on hyperkahler manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-515001