Degenerations of Hodge structure
Algebraic Geometry
2016-07-05 v1
Abstract
Two interesting questions in algebraic geometry are: (i) how can a smooth projective varieties degenerate? and (ii) given two such degenerations, when can we say that one is "more singular/degenerate" than the other? Schmid's Nilpotent Orbit Theorem yields Hodge-theoretic analogs of these questions, and the Hodge-theoretic answers in turn provide insight into the motivating algebro-geometric questions, sometimes with applications to the study of moduli. Recently the Hodge-theoretic questions have been completely answered. This is an expository survey of that work.
Cite
@article{arxiv.1607.00933,
title = {Degenerations of Hodge structure},
author = {C. Robles},
journal= {arXiv preprint arXiv:1607.00933},
year = {2016}
}
Comments
Expository notes for the Algebraic Geometry Summer Research Institute Graduate Student Bootcamp in Salt Lake City, Utah, July 06--10, 2015