Degenerations of Hodge structure
Publication
, Journal Article
Robles, C
Published in: Proceedings of Symposia in Pure Mathematics
January 1, 2017
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.
Duke Scholars
Published In
Proceedings of Symposia in Pure Mathematics
DOI
ISSN
0082-0717
Publication Date
January 1, 2017
Volume
95
Start / End Page
267 / 283
Citation
APA
Chicago
ICMJE
MLA
NLM
Robles, C. (2017). Degenerations of Hodge structure. Proceedings of Symposia in Pure Mathematics, 95, 267–283. https://doi.org/10.1090/pspum/095/01627
Robles, C. “Degenerations of Hodge structure.” Proceedings of Symposia in Pure Mathematics 95 (January 1, 2017): 267–83. https://doi.org/10.1090/pspum/095/01627.
Robles C. Degenerations of Hodge structure. Proceedings of Symposia in Pure Mathematics. 2017 Jan 1;95:267–83.
Robles, C. “Degenerations of Hodge structure.” Proceedings of Symposia in Pure Mathematics, vol. 95, Jan. 2017, pp. 267–83. Scopus, doi:10.1090/pspum/095/01627.
Robles C. Degenerations of Hodge structure. Proceedings of Symposia in Pure Mathematics. 2017 Jan 1;95:267–283.
Published In
Proceedings of Symposia in Pure Mathematics
DOI
ISSN
0082-0717
Publication Date
January 1, 2017
Volume
95
Start / End Page
267 / 283