Haohua Deng

Journal Article Nagoya Mathematical Journal · January 1, 2025 We study the period map of configurations of n points on the projective line constructed via a cyclic cover branching along these points. By considering the decomposition of its Hodge structure into eigenspaces, we establish the codimension of the locus wh ... Full text Cite

REMARKS ON EIGENSPECTRA OF ISOLATED SINGULARITI

Journal Article Pacific Journal of Mathematics · January 1, 2024 We introduce a simple calculus, extending a variant of the Steenbrink spectrum, to describe Hodge-theoretic invariants for smoothings of isolated singularities with relative automorphisms. After computing these “eigenspectra” in the quasihomogeneous case, ... Full text Cite

Completion of two-parameter period maps by nilpotent orbits

Preprint · December 1, 2023 We show that every two-parameter period map admits a Kato--Nakayama--Usui completion to a morphism of log manifolds. ... Open Access Link to item Cite

Eigenperiods and the moduli of points in the line

Preprint · November 15, 2023 Full text Cite

Space of nilpotent orbits and extension of period maps (I): The weight 3 Calabi-Yau types

Preprint · July 25, 2023 Full text Open Access Cite

Remarks on eigenspectra of isolated singularities

Preprint · November 8, 2022 Link to item Cite

Extension of period maps by polyhedral fans

Journal Article Advances in Mathematics · September 17, 2022 Kato and Usui developed a theory of partial compactifications for quotients of period domains D by arithmetic groups Γ, in an attempt to generalize the toroidal compactifications of Ash-Mumford-Rapoport-Tai to non-classical cases. Their partial compactific ... Full text Cite