We prove a rigidity criterion for period maps of admissible variations of gradedpolarizable mixed Hodge structure, and establish rigidity in a number of cases, including families of quasi-projective curves, projective curves with ordinary double points, the complement of the canonical curve in families of Kynev–Todorov surfaces, period maps attached to the fundamental groups of smooth varieties and normal functions.
Deformations and rigidity for mixed period maps
Gregory PearlsteinCo-primo
Writing – Original Draft Preparation
;
2024-01-01
Abstract
We prove a rigidity criterion for period maps of admissible variations of gradedpolarizable mixed Hodge structure, and establish rigidity in a number of cases, including families of quasi-projective curves, projective curves with ordinary double points, the complement of the canonical curve in families of Kynev–Todorov surfaces, period maps attached to the fundamental groups of smooth varieties and normal functions.File in questo prodotto:
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