Moduli of polarized Hodge structures

Details Moduli of polarized Hodge structures Moduli of polarized Hodge structures

2008-02-21

arxiv.org/abs/0802.3118v1

Mathematics

Algebraic Geometry

Scientific paper

Around 1970 Griffiths introduced the moduli of polarized Hodge structures/the period domain $D$ and described a dream to enlarge $D$ to a moduli space of degenerating polarized Hodge structures. Since in general $D$ is not a Hermitian symmetric domain, he asked for the existence of a certain automorphic cohomology theory for $D$, generalizing the usual notion of automorphic forms on symmetric Hermitian domains. Since then there have been many efforts in the first part of Griffith's dream but the second part still lives in darkness. The objective of the present text is two-folded. First, we give an exposition of the subject. Second, we give another formulation of the Griffiths problem, based on the classical Weierstrass uniformization theorem.

Affiliated with

Also associated with

No associations

Rating

Moduli of polarized Hodge structures 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 Moduli of polarized Hodge structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Moduli of polarized Hodge structures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-579971