Orbifold Aspects of Certain Occult Period Maps
Algebraic Geometry
2023-06-22 v2
Abstract
We first characterize the automorphism groups of Hodge structures of cubic threefolds and cubic fourfolds. Then we determine for some complex projective manifolds of small dimension (cubic surfaces, cubic threefolds, and non-hyperelliptic curves of genus 3 or 4), the action of their automorphism groups on Hodge structures of associated cyclic covers, and thus confirm conjectures made by Kudla and Rapoport.
Cite
@article{arxiv.1711.02415,
title = {Orbifold Aspects of Certain Occult Period Maps},
author = {Zhiwei Zheng},
journal= {arXiv preprint arXiv:1711.02415},
year = {2023}
}
Comments
introduction improved, 22 pages, to appear in Nagoya Mathematical Journal