A natural hermitian metric associated with local universal families of compact Ricci-flat Kähler manifolds

Details A natural hermitian metric associated with local universal families of compact Ricci-flat Kähler manifolds A natural hermitian metric associated with local universal families of compact Ricci-flat Kähler manifolds

2011-12-06

arxiv.org/abs/1112.1343v1

Mathematics

Algebraic Geometry

5 pages. This note is to appear in Comptes Rendus - Math\'ematique

Scientific paper

Let $\pi : \mathcal X \to S$ be a local universal family of compact Ricci-flat K\"ahler manifolds over a smooth base $S$. The complexified K\"ahler cones of each fiber of the family form a holomorphic fiber bundle $\mathcal K \to S$. We show that there exists a natural hermitian metric $\omega$ on the fiber product $\mathcal X \times_S \mathcal K$. We then discuss the example of elliptic curves in some detail.

Affiliated with

Also associated with

No associations

Rating

A natural hermitian metric associated with local universal families of compact Ricci-flat Kähler 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 A natural hermitian metric associated with local universal families of compact Ricci-flat Kähler manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A natural hermitian metric associated with local universal families of compact Ricci-flat Kähler manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-381632