Completion of two-parameter period maps by nilpotent orbits
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2023-12-01
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Abstract
We show that every two-parameter period map admits a Kato--Nakayama--Usui completion to a morphism of log manifolds.
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Scholars@Duke
Colleen M Robles
I am a geometer. My current research addresses the complex geometry of period maps, and related questions that are Hodge theory and its applications to moduli of algebraic varieties. I have also made contributions to the fields of Finsler geometry, calibrated geometry, and complex projective geometry. I have a side interest in the formalization of mathematics via automated theorem-provers and proof-assistants (such as Lean).
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