A global Torelli theorem for hyperkaehler manifolds (after Verbitsky)

Details A global Torelli theorem for hyperkaehler manifolds (after Verbitsky) A global Torelli theorem for hyperkaehler manifolds (after Verbitsky)

2011-06-28

arxiv.org/abs/1106.5573v1

Mathematics

Algebraic Geometry

26 pages, Seminaire Bourbaki, 63 annee, 2010-2011, no 1040

Scientific paper

Compact hyperkaehler manifolds are higher-dimensional generalizations of K3 surfaces. The classical Global Torelli theorem for K3 surfaces, however, does not hold in higher dimensions. More precisely, a compact hyperkaehler manifold is in general not determined by its natural weight-two Hodge structure. The text gives an account of a recent theorem of M. Verbitsky, which can be regarded as a weaker version of the Global Torelli theorem phrased in terms of the injectivity of the period map on the connected components of the moduli space of marked manifolds.

Affiliated with

Also associated with

No associations

Rating

A global Torelli theorem for hyperkaehler manifolds (after Verbitsky) 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 A global Torelli theorem for hyperkaehler manifolds (after Verbitsky), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A global Torelli theorem for hyperkaehler manifolds (after Verbitsky) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-40773