Degenerations of Hodge structure
Journal Article
Two interesting questions in algebraic geometry are: (i) how can a smooth projective variety 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.
Full Text
Duke Authors
Cited Authors
- Robles, C
Published Date
- January 1, 2017
Published In
Volume / Issue
- 95 /
Start / End Page
- 267 - 283
International Standard Serial Number (ISSN)
- 0082-0717
Digital Object Identifier (DOI)
- 10.1090/pspum/095/01627
Citation Source
- Scopus