Calabi–Yau categoriesLet X = Tot Ω P 2 be the total space of cotangent bundle of P 2 . 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...
至于singular Calabi-Yau variety，通常是不care metric的，只需要canonical bundle甚至canonical sheaf trivi...
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...
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
overX. Take a smooth anticanonical divisorDonMx.SoDis aCalabi-Yau variety. We compute the number of moduli ofD, namely dimH1ðD;TDÞ,tobe 3g4þdimH0ðMx;K1MxÞ. Denote byNthe moduli space of all such pairsðX0;D0Þ,namelyD0is a smooth anticanonical divisor on a smooth mod...
The dual complex of Calabi–Yau pairs Inventiones mathematicae - A log Calabi–Yau pair consists of a proper variety X and a divisor D on it such that $$K_X+D$$ is numerically trivial. A folklo... J Kollár,C Xu - 《Inventiones Mathematicae》 被引量: 24发表: 2016年 Degenerations ...
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 ...
For various 2-Calabi–Yau categories $\mathscr{C}$ for which the classical stack of objects $\mathfrak{M}$ has a good moduli space $p\colon \mathfrak{
A non-compact Calabi–Yau n-fold X of complex dimension n can be realized as an affine cone over a complex base X , of complex dimension n − 1. By far the largest class of these affine Calabi–Yau n-folds is when the base is a toric variety X ( ), from an (n − 1)-...