WebWe mentioned earlier that not all Calabi–Yau threefolds come from 4-dimensional reflexive polytopes. Currently, there is no classification of Calabi–Yau threefolds, although many constructions are known. Some involve toric varieties, while others, such as those described in ( Section 4.4), have nothing to do with toric methods. WebSep 26, 2014 · Any Calabi-Yau threefold X with infinite fundamental group admits an étale Galois covering either by an abelian threefold or by the product of a K3 surface and an …
Crystallographic Groups and Calabi-Yau 3-folds of Type
WebarXiv:math/0601411v1 [math.DG] 17 Jan 2006 ANALYTIC TORSION FOR CALABI-YAU THREEFOLDS HAO FANG, ZHIQIN LU, AND KEN-ICHI YOSHIKAWA Abstract. After … WebWe then proceed with an analysis of various definitions of Calabi–Yau manifolds. The last section provides a short introduction to toric geometry, aimed at constructing Calabi–Yau manifolds in two different ways; as hypersurfaces in toric varieties and as local toric Calabi–Yau threefolds. These lecture notes supplement a mini-course that highest adventure rank genshin impact
Rational or elliptic curves on Calabi-Yau threefolds
WebIn this note we initiate a program to obtain global descriptions of Calabi-Yau moduli spaces, to calculate their Picard group, and to identify within that group the Hodge line bundle, and the closely-related Bagger-Witten line bundle. We do this here for several Calabi-Yau's obtained in [DW09] as crepant resolutions of the orbifold quotient of the product of three … WebA quintic threefold is a special class of Calabi–Yau manifolds defined by a degree projective variety in . Many examples are constructed as hypersurfaces in , or complete … Web1 Answer. Let me give a partial answer. Most of the known examples of Calabi-Yau threefolds contain rational curves. However, there exist examples of Calabi-Yau threefolds without rational curves. You can find some of them in the paper by Oguiso and Sakurai Calabi-Yau threefolds of quotient type, Asian Journal of Mathematics 5 (2001). highest aerial lift