搜索结果: 1-9 共查到“数学 CALABI-YAU MANIFOLDS”相关记录9条 . 查询时间(0.109 秒)
HODGE METRIC COMPLETION OF THE TEICHM¨ ULLER SPACE OF CALABI–YAU MANIFOLDS
HODGE METRIC COMPLETION TEICHM¨ ULLER SPACE CALABI–YAU MANIFOLDS
2018/4/19
We prove that the Hodge metric completion of the Teichm¨uller space of polarized and marked Calabi–Yau manifolds is a complex affine manifold. We also show that the extended period map from the comple...
A GLOBAL TORELLI THEOREM FOR CALABI-YAU MANIFOLDS
A GLOBAL TORELLI THEOREM CALABI-YAU MANIFOLDS
2018/4/19
We prove that the period map from the Teichm¨uller space of polarized and marked Calabi-Yau manifolds to the classifying space of polarized Hodge structures is an embedding. The proof is based on the ...
Automorphism groups of Calabi-Yau manifolds of Picard number two
Automorphism groups Calabi-Yau manifolds Picard number two Algebraic Geometry
2012/6/29
We prove that the automorphism group of an odd dimensional Calabi-Yau manifold of Picard number two is always a finite group. This makes a sharp contrast to the automorphism groups of K3 surfaces and ...
Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups
Birational automorphism groups movable cone theorem Calabi-Yau manifolds of Wehler type
2011/9/22
Abstract: We prove that the birational automorphism group of any Calabi-Yau manifold given by a generic hypersurface of multi-degree two in $({\mathbf P^1})^{n+1}$ is isomorphic to the universal Coxet...
Continuity of Extremal Transitions and Flops for Calabi-Yau Manifolds
Continuity of Extremal Transitions Flops Calabi-Yau Manifolds
2011/1/21
In this paper, we study the behavior of Ricci-flat K¨ahler metrics on Calabi-Yau manifolds under algebraic geometric surgeries: extremal transitions or flops. We prove a version of Candelas and de la ...
Holomorphic Cartan geometries, Calabi--Yau manifolds and rational curves
Cartan geometry holomorphic connection Calabi–Yau manifold rational curve
2010/12/14
We prove that if a Calabi–Yau manifold M admits a holomorphic Cartan geometry, then M is covered by a complex torus. This is done by establishing the Bogomolov inequality for semistable sheaves on com...
GLOBAL TORELLI THEOREM FOR TEICHMULLER SPACES OF POLARIZED CALABI-YAU MANIFOLDS
GLOBAL TORELLI THEOREM TEICHMULLER SPACES POLARIZED CALABI-YAU MANIFOLDS
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
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...
Maslov class and minimality in Calabi-Yau manifolds
Maslov class minimality Calabi-Yau manifolds
2010/10/29
Generalizing the construction of the Maslov class for a Lagrangian embedding in a symplectic vector space, we prove that it is possible to give a consistent definition of this class for any Lagrangian...