Quasi-modular forms attached to Hodge structures

Details Quasi-modular forms attached to Hodge structures Quasi-modular forms attached to Hodge structures

2010-09-25

arxiv.org/abs/1009.5038v2

Mathematics

Algebraic Geometry

16 pages; Fields Communication Series, 2012

Scientific paper

The space $D$ of Hodge structures on a fixed polarized lattice is known as Griffiths period domain and its quotient by the isometry group of the lattice is the moduli of polarized Hodge structures of a fixed type. When $D$ is a Hermition symmetric domain then we have automorphic forms on $D$, which according to Baily-Borel theorem, they give an algebraic structure to the mentioned moduli space. In this article we slightly modify this picture by considering the space $U$ of polarized lattices in a fixed complex vector space with a fixed Hodge filtration and polarization. It turns out that the isometry group of the filtration and polarization, which is an algebraic group, acts on $U$ and the quotient is again the moduli of polarized Hodge structures. This formulation leads us to the notion of quasi-automorphic forms which generalizes quasi-modular forms attached to elliptic curves.

Affiliated with

Also associated with

No associations

Rating

Quasi-modular forms attached to 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 Quasi-modular forms attached to Hodge structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-modular forms attached to Hodge structures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-560658