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Dive into the research topics where An Huang is active.

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Featured researches published by An Huang.


Nuclear Physics | 2015

Holonomic Systems for Period Mappings

Jingyue Chen; An Huang; Bong H. Lian

Abstract Period mappings were introduced in the sixties [4] to study variation of complex structures of families of algebraic varieties. The theory of tautological systems was introduced recently [7] , [8] to understand period integrals of algebraic manifolds. In this paper, we give an explicit construction of a tautological system for each component of a period mapping. We also show that the D-module associated with the tautological system gives rise to many interesting vanishing conditions for period integrals at certain special points of the parameter space.


Journal of Differential Geometry | 2016

Period Integrals and the Riemann-Hilbert Correspondence

An Huang; Bong H. Lian; Xinwen Zhu


Journal of Differential Geometry | 2014

On the holonomic rank problem

Spencer Bloch; An Huang; Bong H. Lian; Vasudevan Srinivas; Shing-Tung Yau


arXiv: Representation Theory | 2011

Noncommutative multiplicative norm identities for the quaternions and the octonions

An Huang


arXiv: Algebraic Geometry | 2017

Differential Zeros of Certain Special Functions

Jingyue Chen; An Huang; Bong H. Lian; Shing-Tung Yau


Homology, Homotopy and Applications | 2015

On cohomology theory of (di)graphs

An Huang; Shing-Tung Yau


Communications in Number Theory and Physics | 2010

A note on Nahm’s conjecture in rank 2 case

An Huang; Chul-hee Lee


arXiv: Mathematical Physics | 2009

On Twisted Virasoro Operators and Number Theory

An Huang


arXiv: Algebraic Geometry | 2018

Period integrals of local complete intersections and tautological systems

An Huang; Bong H. Lian; Shing-Tung Yau; Chenglong Yu


arXiv: Algebraic Geometry | 2018

Hasse-Witt matrices, unit roots and period integrals

An Huang; Bong H. Lian; Shing-Tung Yau; Chenglong Yu

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Chul-hee Lee

University of California

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Xinwen Zhu

California Institute of Technology

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