Math @ Duke
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Publications [#369338] of Colleen M Robles
Papers Published
- Robles, C, Pseudoconvexity at infinity in Hodge theory: a codimension one example
(February, 2023)
(last updated on 2024/09/17)
Abstract: The generalization of the Satake--Baily--Borel compactification to arbitrary
period maps has been reduced to a certain extension problem on certain
"neighborhoods at infinity". Extension problems of this type require that the
neighborhood be pseudoconvex. The purpose of this note is to establish the
desired pseudoconvexity in one relatively simple, but non-trivial, example:
codimension one degenerations of a period map of weight two Hodge structures
with first Hodge number $h^{2,0}$ equal to 2.
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