RigidinstantonsstudyType IIA string theory compactified on a rigid Calabi-Yau threefold gives rise to a classical moduli space that carries an isometric action of U(2, 1). Various quantum corrections break this continuous isometry to a discrete subgroup. Focussing on the case where the ...
In this way, we reproduce the mirror by Rdland (1999) of a degree 14 pfaffian Calabi-Yau threefold, and the mirror candidate by Bhm (2007) of a degree 13 pfaffian Calabi-Yau threefold. In the latter case we verify that the Hodge numbers in fact constitute a mirror, using toric ...
We prove that up to birational equivalence, there exists only a finite number of families of Calabi-Yau threefolds (i.e. a threefold with trivial canonical class and factorial terminal singularities) which have an elliptic fibration to a rational surface. This strengthens a result of B. Hunt ...
Yau threefold defined over Q. There are two ways for the ˆ W i to obtain bad reduction. One possibility is that the reduced variety might have no projective small resolution, caused by the degenera- tion of singular fibres in characteristic 2 and 3 as in the case of the self ...
2.2.1 Base blow-ups Let Yˆ be a degeneration of an elliptically fibered Calabi-Yau threefold. As argued in section 2.1, we only allow infinite-distance non-minimal fibers to appear over the central fiber Yˆ0 of the degeneration. Furthermore, we focus on infinite-distance limits ...
X. Yu: On smooth isolated curves in general complete intersection Calabi-Yau threefolds, http://arxiv.org/pdf/1208.6282v1.pdf.X. Yu, On smooth and isolated curves in general complete intersection Calabi-Yau three-folds, arXiv:1208.6282....
In particular, if $(\\overline{X}_1,D_1)$ and $(\\overline{X}_2,D_2)$ are identical to an admissible pair $(\\overline{X},D)$, then the gluing condition holds automatically, so that we can {\\it always} construct a Calabi-Yau threefold from a {\\it single} admissible pair...
Following on from this, the main results of the paper (Theorems 2.12, 2.13) show that a Calabi–Yau threefold may only admit a non-isotrivial fibration by \(M_n\)-polarized K3 surfaces if $$\begin{aligned}n \in \{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,23\}\en...
Jun Li (Stanford University/Fudan University) Wei-Ping Li (Hong Kong University of Science and Technology) Abstract The study of high genus Gromov Witten invariants is one of the core problems in enumerative geometry. For Calabi-...
Let X be a Calabi-Yau threefold and \\mu the symmetric trilinear form on the second cohomology group H^{2}(X,\\Z) defined by the cup product. We investigate the interplay between the Chern classes c_{2}(X), c_{3}(X) and the trilinear form \\mu, and demonstrate some numerical ...