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
Haohua Deng
My research interests are Hodge theory and complex geometry, especially local and global properties of period maps, application of Hodge theory to moduli and singularity theory.
Colleen M Robles
Professor Robles is a geometer. Her current research is focused on questions in complex geometry that are motivated by Hodge theory and its applications to moduli of algebraic varieties. (She also has made contributions to the fields of Finsler geometry, calibrated geometry, and complex projective geometry.) She also is also interested in (and supervises projects on) the formalization of mathematics via automated theorem-provers and proof-assistants (such as Lean).
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