4 citations · 16 across the 9 of their papers we have counts for
5 papers · 1 filter
-adic Tautological Systems
Lei Fu, An Huang, Bong Lian +3
Tautological systems was introduced in Lian-Yau as the system of differential equations satisfied by period integrals of hyperplane sections of some complex projective homogenous v…
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…
On the Holonomic Rank Problem
Spencer Bloch, An Huang, Bong H. Lian +2
A tautological system, introduced in \cite{LSY}\cite{LY}, arises as a regular holonomic system of partial differential equations that govern the period integrals of a family of com…