9 citations · 24 across the 7 of their papers we have counts for
5 papers · 2 filters
Moduli of Nodal Sextic Curves via Periods of K3 Surfaces
Chenglong Yu, Zhiwei Zheng
In this paper we study the moduli spaces of nodal sextic curves. We realize each irreducible component of the GIT space of sextic curves with given number of nodes as an open subsp…
Moduli Spaces of Symmetric Cubic Fourfolds and Locally Symmetric Varieties
Chenglong Yu, Zhiwei Zheng
In this paper we realize the moduli spaces of cubic fourfolds with specified automorphism groups as arithmetic quotients of complex hyperbolic balls or type IV symmetric domains, a…
Jacobian rings for homogenous vector bundles and applications
An Huang, Bong Lian, Shing-Tung Yau +1
In this note, we examine the Jacobian ring description of the Hodge structure of zero loci of vector bundle sections on a class of ambient varieties. We consider a set of cohomolog…
Period integrals of local complete intersections and tautological systems
An Huang, Bong Lian, Shing-Tung Yau +1
Tautological systems developed in [6],[7] are Picard-Fuchs type systems to study period integrals of complete intersections in Fano varieties. We generalize tautological systems to…
Hasse-Witt matrices, unit roots and period integrals
An Huang, Bong Lian, Shing-Tung Yau +1
Motivated by the work of Candelas, de la Ossa and Rodriguez-Villegas [6], we study the relations between Hasse-Witt matrices and period integrals of Calabi-Yau hypersurfaces in bot…