搜索结果: 1-15 共查到“Calabi-Yau”相关记录37条 . 查询时间(0.052 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：From curve counting on Calabi-Yau 4-folds to quasimaps for quivers with potentials
Calabi-Yau 曲线计数 4-folds
2023/4/23
I will start by reviewing an old joint work with Davesh Maulik and Yukinobu Toda on relating Gromov-Witten, Gopakumar-Vafa and stable pair invariants on compact Calabi-Yau 4-folds. For non-compact CY4...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Morrison-Kawamata cone conjecture for Calabi-Yau fiber spaces
Calabi-Yau fiber spaces 莫里森-川俣 锥猜想
2023/5/9
In this talk, I will explain the relationship between the Morrison-Kawamata cone conjecture for Calabi-Yau fiber spaces and the existence of Shokurov polytopes. For K3 fibrations, this enables us to e...
MUMFORD-TATE GROUPS, FAMILIES OF CALABI-YAU VARIETIES AND ANALOGUE ANDR¶E-OORT PROBLEMS I
MUMFORD-TATE GROUPS FAMILIES OF CALABI-YAU VARIETIES ANALOGUE ANDR E-OORT PROBLEMS I
2018/4/20
We study Mumford-Tate groups of families of Calabi-Yau manifolds in this notes, for example, we have interest in the relations between the geometry of families of Calabi-Yau manifolds and their Mumfor...
设$H$是秩为1的有限维pointed Hopf代数. 借助于Cibils以及张的结果, 本文描述了$H$的稳定范畴$H-\underline{mod}$中的极小、以至所有Calabi-Yau 对象.
Non-extreme Calabi-Yau black holes
4 d black holes supergravity theory independent module and scalar function coupling matrix
2014/12/22
Non-extreme black hole solutions of four dimensional, N = 2 supergravity theories with Calabi-Yau prepotentials are presented, which generalize certain known double-extreme and extreme solutions. The ...
From wrapped M-branes to Calabi-Yau black holes and strings
Time and space time and space movement equation the black hole black string
2014/12/20
We study a class of D = 11 BPS spacetimes that describe M-branes wrapping supersymmetric 2 and 4-cycles of Calabi-Yau 3-folds. We analyze the geometrical significance of the supersymmetry constraints ...
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...
GLOBAL TORELLI THEOREM FOR PROJECTIVE MANIFOLDS OF CALABI-YAU TYPE
GLOBAL TORELLI THEOREM PROJECTIVE MANIFOLDS CALABI-YAU TYPE
2018/4/19
In this paper we prove two main results about the global properties of the period mapsfrom the Teichm¨uller space of polarized and marked Calabi-Yau type manifolds to theperiod domain of polarized Hod...
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...
Calabi-Yau algebras viewed as deformations of Poisson algebras
Koszul algebras Calabi-Yau algebras Poisson algebras deformations of algebras Poisson homology Hochschild homology
2011/9/19
Abstract: We define a family of 3-Calabi-Yau algebras by potentials. For some of these algebras, we explicitly compute the Hochschild homology with the help of Poisson homology. The point is that the ...
On a conjecture of Oguiso about rational curves on Calabi-Yau threefolds
Calabi-Yau threefold, rational curve, nef cone, rational points of cubic forms, Kobayashi's conjecture
2011/9/13
Abstract: Let X be a Calabi-Yau threefold. We show that if there exists on X a non-zero nef non-ample divisor then X contains a rational curve, provided its second Betti number is greater than 4.
Simply Connected Symplectic Calabi-Yau 6-Manifolds
Connected Symplectic Calabi-Yau 6-Manifolds Geometric Topology Algebraic Geometry
2011/9/5
Abstract: In this paper, we construct simply connected symplectic Calabi-Yau 6-manifolds by applying Gompf's symplectic fiber sum operation along $T^4$. Using our construction, we also produce symplec...
Calabi-Yau Manifolds, Hermitian Yang-Mills Instantons and Mirror Symmetry
Calabi-Yau manifold Hermitian Yang-Mills instanton Mirror symmetry
2011/9/30
Abstract: We formulate six-dimensional Euclidean gravity as SU(4)=SO(6) Yang-Mills gauge theory. For that purpose we devise a six-dimensional version of the 't Hooft symbols which realizes the isomorp...