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RETRIEVAL OF AEROSOL PHASE FUNCTION AND POLARIZED PHASE FUNCTION FROM POLARIZATION OF SKYLIGHT FOR DIFFERENT OBSERVATION GEOMETRIES
Aerosol Polarization Phase function Polarized phase function Retrieval Sun-sky radiometer
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2018/5/14
The phase function and polarized phase function are important optical parameters, which describe scattering properties of atmospheric aerosol particles. Polarization of skylight induced by the scatter...
Rank One Bridgeland Stable Moduli Spaces on A Principally Polarized Abelian Surface
Moduli space Hilbert scheme abelian surface Bridgeland stability wall crossing projectivity
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2011/9/21
Abstract: We compute moduli spaces of Bridgeland stable objects on an irreducible principally polarized complex abelian surface corresponding to twisted ideal sheaves. We use Fourier-Mukai techniques ...
Families of canonically polarized manifolds over log Fano varieties
Families of canonically polarized manifolds log Fano varieties Algebraic Geometry
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2011/9/19
Abstract: Let (X,D) be a dlt pair, where X is a normal projective variety. Let S denote the support of the rounddown of D, and K the canonical divisor of X. We show that any smooth family of canonical...
A Fourier-Mukai Approach to the Enumerative Geometry of Principally Polarized Abelian Surfaces
ideal sheaf Fourier-Mukai divisor abelian surface Hilbert scheme stable sheaf
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2011/9/5
Abstract: We study twisted ideal sheaves of small length on an irreducible principally polarized abelian surface (T,l). Using Fourier-Mukai techniques we associate certain jumping schemes to such shea...
Algebro-geometric semistability of polarized toric manifolds
Algebro-geometric semistability polarized toric manifolds
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2010/11/26
Let Rn be an n-dimensional integral Delzant polytope. It is wellknown that there exist the n-dimensional compact toric manifold X and the very ample (C×)n-equivariant line bundle L on X associa...
GLOBAL TORELLI THEOREM FOR TEICHMULLER SPACES OF POLARIZED CALABI-YAU MANIFOLDS
GLOBAL TORELLI THEOREM TEICHMULLER SPACES POLARIZED CALABI-YAU MANIFOLDS
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2018/4/19
In this paper we study the global properties of the period map from the Teichm¨uller space of polarized Calabi-Yau (CY) manifolds to the classifying space of polarized Hodge structures. Let M be a Cal...
Recent Development on the Geometry of the Teichuller and Moduli Spaces of Riemann Surfaces and Polarized Calabi-Yau Manifolds
Geometry of the Teichuller Moduli Spaces Riemann Surfaces Polarized Calabi-Yau Manifolds
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2018/4/19
The moduli spaceMg,k of Riemann surfaces of genus g with k punctures plays an important role in many area of mathematics and theoretical physics.In this article we first survey some of our recent work...