Publications [#340293] of Colleen M Robles

Papers Published

1. Robles, C, Degenerations of Hodge structure, Proceedings of Symposia in Pure Mathematics, vol. 95 (January, 2017), pp. 267-283 [doi]
   (last updated on 2026/01/16)

   Abstract:
   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.