1.3. 对于Calabi-Yau 3-fold 现在我们假设 X 是Calabi-Yau 3-fold ( \omega_X\cong\mathscr O_X),此时 M^s(X) 的obstruction theory为 f:\mathbb E:=\tau^{[-1,0]}(\mathbb R\pi_*\mathbb R\mathscr{H}om(\mathcal E,\mathcal E)[2])\to\tau^{\geq-1}\mathbb L_{M^s(X)}。
We construct Calabi–Yau 3-fold orbifolds embedded in weighted projective space in codimension4. Each Hilbert series we consider is realised by at least two deformation families of Calabi–Yau 3-folds, distinguished by their topology, echoing a similar phenomenon for Fano 3-folds in high ...
In particular, we gave a classification of Calabi–Yau threefolds fibred non-isotrivially by -polarized K3 surfaces. This classification raised a natural question: for which n do there exist Calabi–Yau threefolds fibred non-isotrivially by -polarized K3 surfaces, and can they also be ...
We then lift this solution to eleven dimensions as a product of Rand a Calabi Yau 3-fold. We show how the metric on the 3-fold is determined in terms of the wrapped brane solution. We write down the distinguished (3, 0) form and the Khler form of the 3-fold in terms of ...
(1–2):128,2002) on disk enumeration in toric Calabi-Yau 3-folds for all smooth semi-projective toric Calabi-Yau 3-folds. We consider both inner and outer branes, at arbitrary framing. In particular, we recover previous results on the conjecture for (i) an inner brane at zero framing ...
Any Calabi–Yau three-fold $$X$$ with infinite fundamental group admits an étale Galois covering either by an abelian three-fold or by the product of a K3 surface and an elliptic curve. We call $$X$$ of type A in the former case and of type K in the latter case. In this articl...
Ricci-flat deformations of asymptotically cylindrical Calabi–Yau manifolds - Kovalev () Citation Context ...nder on a Calabi-Yau 3-fold. Then the corresponding constructions on the CY 3-fold give the hyperKähler universal intermediate Jacobian, and various complex Lagrangian submanifolds inside of...
本文讨论的Calabi-Yau流形定义为第一陈类为0的紧致 Kghler流形,试图从复几何的角度给它一个简要叙述.本文结构安 排如下:第一章,介绍复几何中的基本构造,比如Hodge定理,联 络,陈类,线丛和除子;第二茕通过计算第一陈类构造一族完全 交Calabi-Yau流形,叙述与之联系很紧的镜像对称猜想,并推广 Calan—Yau流形的概...
Numerical Calabi-Yau metrics - Douglas, Karp, et al. - 2008 () Citation Context ...tial in terms of the moduli fields. Naively it seems like we need to know the metric and gauge connection on the Calabi-Yau 3-fold. These quantities are of course unknown, except possibly numerically =...
根据维基百科 Calabi-Yau manifold 的描述，对于紧单连通Kahler流形，Ricci flat和Calabi-Yau也就是canon...