This is a non-compact Calabi–Yau 4-fold (also called local Calabi–Yau variety in physics literature). The aim of this paper is to use the tilting objects to characterize a large class of t-structures in the relevant Calabi–Yau category and try to calculate the tilting of those t-...
我不太了解非紧情形，singular setting已经研究的很好，在normal Kahler space(或者称为normal kahler var...
至于singular Calabi-Yau variety，通常是不care metric的，只需要canonical bundle甚至canonical sheaf trivi...
Compact smooth Calabi–Yau (n − 1)-folds have been constructed [1–12] as hyper- surfaces corresponding to the anti-canonical divisor within a n-dimensional toric variety coming from a reflexive polytope. The result was an impressive list of at least half a bil- lion smooth, compact ...
The other is by a period integral of a certain Calabiu2013Yau g-fold given as a double cover of the g-dimensional projective space Pg. 关键词: Arithmetic-geometric mean period integral hyperelliptic curve Calabi–Yau variety. DOI: 10.1142/S0129167X1000632X 被引量: 3 年份: 2010 ...
So $D$ is a Calabi-Yau variety. We compute the number of moduli of $D$, namely $\\dim H^1(D, T_D)$, to be $3g-4 + \\dim H^0({\\cal M}_{\\xi}, K^{-1}_{{\\cal M}_{\\xi}})$. Denote by $\\cal N$ the moduli space of all such pairs $(X',D')$, ...
We show that the solutions to the equations, defining the so-called Calabi–Yau condition for fourth-order operators of degree two, define a variety t
Let X-0 be an affine variety with only normal isolated singularity at p. We assume that the complement X-0\\{p} is biholomorphic to the cone C(S) of an Einstein-Sasakian manifold S of real dimension 2n - 1. if there is a resolution of singularity pi : X -> X-0 with trivial ...
For example, if X is a smooth projective variety, \operatorname{\mathbf{H}}(X,{\mathbb{Q}}) is pure. Note that a complex \mathcal{F}\in \operatorname{Ob}(\mathcal {D}^{\operatorname{b}}(\operatorname{MHM}(X))) is pure if and only if \mathcal{F}\otimes \operatorname{\...