16 citations · 67 across the 17 of their papers we have counts for
17 papers
Homological Mirror Symmetry for Conic Bundle
Bohan Fang, Yuze Sun, Peng Zhou
We study the homological mirror symmetry statement where A-side is the conic bundle Hori--Vafa mirror …
Homological mirror symmetry for complete intersections in algebraic tori
Hayato Morimura, Nicolò Sibilla, Peng Zhou
We prove one direction of homological mirror symmetry for complete intersections in algebraic tori, in all dimensions. The mirror geometry is not a space but a LG model, i.e. a pai…
GKZ discriminant and Multiplicities
Jesse Huang, Peng Zhou
Let $T=(\C^*)^k$ act on $V=\C^N$ faithfully and preserving the volume form, i.e. $(\C^*)^k \into \text{SL}(V)$. On the B-side, we have toric stacks (see Eq. \ref{eq:ZW})label…
Variation of GIT and Variation of Lagrangian Skeletons I: Flip and Flop
Peng Zhou
Coherent-Constructible Correspondence for toric variety assigns to each -dimensional toric variety a Lagrangian skeleton , such that the derived categor…
Zero loci of Bernstein-Sato ideals -- II
Nero Budur, Robin van der Veer, Lei Wu +1
We have recently proved a precise relation between Bernstein-Sato ideals of collections of polynomials and monodromy of generalized nearby cycles. In this article we extend this re…
Zero loci of Bernstein-Sato ideals
Nero Budur, Robin van der Veer, Lei Wu +1
We prove a conjecture of the first author relating the Bernstein-Sato ideal of a finite collection of multivariate polynomials with cohomology support loci of rank one complex loca…
Log D-modules and Index theorems
Lei Wu, Peng Zhou
We study log D-modules on smooth log pairs and construct a comparison theorem of log de Rham complexes. The proof uses Sabbah's generalized b-functions. As applications, we deduce…
Gamma II for toric varieties from integrals on T-dual branes and homological mirror symmetry
Bohan Fang, Peng Zhou
In this paper we consider the oscillatory integrals on Lefschetz thimbles in the Landau-Ginzburg model as the mirror of a toric Fano manifold. We show these thimbles represent the…
Pointwise Weyl laws for Partial Bergman kernels
Steve Zelditch, Peng Zhou
This is a partly expository article for the volume "Algebraic and Analytic Microlocal Analysis" on pointwise Weyl laws for spectral projections kernels in the Kaehler setting. We p…
Interface asymptotics of Partial Bergman kernels around a critical level
Steve Zelditch, Peng Zhou
In a recent series of articles (arXiv:1604.06655, arXiv:1708.09267), the authors have studied the transition behavior of partial Bergman kernels and the as…
Sheaf Quantization of Legendrian Isotopy
Peng Zhou
Let be an isotopy of Legendrians (possibly singular) in a unit cosphere bundle . Let be the differential graded (dg) derived category of…
Lagrangian Skeleta of Hypersurfaces in
Peng Zhou
Let be a Laurent polynomial in variables, and let be a generic smooth fiber of . In \cite{RSTZ} Ruddat-S…
Central Limit theorem for toric \kahler manifolds
Steve Zelditch, Peng Zhou
Associated to the Bergman kernels of a polarized toric \kahler manifold are sequences of measures parametrized by the points . Fo…
Central Limit theorem for spectral Partial Bergman kernels
Steve Zelditch, Peng Zhou
Partial Bergman kernels are kernels of orthogonal projections onto subspaces of holomorphic sections of the th power of an ample lin…
Twisted Polytope Sheaves and Coherent-Constructible Correspondence for Toric Varieties
Peng Zhou
Given a smooth projective toric variety of complex dimension , Fang-Liu-Treumann-Zaslow \cite{FLTZ} showed that there is a quasi-embedding of the differential graded (dg)…
Scaling of Harmonic Oscillator Eigenfunctions and Their Nodal Sets Around the Caustic
Boris Hanin, Steve Zelditch, Peng Zhou
We study the scaling asymptotics of the eigenspace projection kernels of the isotropic Harmonic Oscillator of eigenvalue $E = \hbar(N + \f…
Nodal Sets of Random Eigenfunctions for the Isotropic Harmonic Oscillator
Boris Hanin, Steve Zelditch, Peng Zhou
We consider Gaussian random eigenfunctions (Hermite functions) of fixed energy level of the isotropic semi-classical Harmonic Oscillator on . We calculate the expected d…