Calabi-yau threefolds of quotient type
Web2.4. Constructing Calabi-Yau Threefolds. We recall the different steps in the construction of Calabi-Yau threefolds as quasilinear sections of weighted flag varieties. (1) Choose Embedding We choose a reductive Lie group and a -representation of dimension with highest weight . We get a straight flag variety of computable dimension and codimension . 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 …
Calabi-yau threefolds of quotient type
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WebMoreover, a Calabi-Yau threefold X is of type A if and only if c 2 ( X) = 0, and in this case the Picard number ρ ( X) is either 2 or 3. In fact, the authors ask as an open question … WebHowever, finiteness of the automorphism group is known when the fundamental group of X 𝑋 X italic_X is infinite: when X 𝑋 X italic_X is a Calabi-Yau threefold of Type A, i.e. X 𝑋 X …
WebMay 1, 2010 · The aim of this paper is to construct families of Calabi--Yau 3-folds without boundary points with maximal unipotent monodromy and to describe the variation of their Hodge structures. In particular five families are constructed. In all these cases the variation of the Hodge structures of the Calabi--Yau 3-folds is basically the variation of the Hodge … WebEnter the email address you signed up with and we'll email you a reset link.
WebSep 26, 2014 · A Calabi-Yau threefold is called of type K if it admits an \'etale Galois covering by the product of a K3 surface and an elliptic curve. In our previous paper, … WebThe first example of a Calabi-Yau threefold is the smooth quintic in the complex projective space P4. Due to a condition imposed by super- strings theories, Calabi-Yau threefolds having Euler characteristicχ=±6 and non-trivial fundamental group play a special role.
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 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 … cheap tool batteriesWebWe present a detailed study of the effective cones of Calabi-Yau threefolds with h^{1,1} = 2, including the possible types of walls bounding the Kaehler cone and a classification of the ... cheap tool bags ukWebThe following page collects information on Calabi-Yau manifolds with an eye to application in string theory (e.g. supersymmetry and Calabi-Yau manifolds): Sheldon Katz, Rolf … cheap tool balancerWebOct 8, 1997 · Abstract:In this paper we study 16 complete intersection K3-fibered Calabi--Yau variety types in biprojective space ℙn1}×ℙ1. These are all the CICY-types that are K3 fibered by the projection on the second factor. We prove existence of isolated rational curves of bidegree (d,0) for every positive integer d on a general Calabi–Yau variety of these … cyclace exercise bike stationary 330 lbWebWe provide a fine classification of Gorenstein quotients of three-dimensional abelian varieties with isolated singularities, up to biholomorphism and homeomorphism. This refines a result of Oguiso and Sakurai about fibred Calabi-Yau threefolds of type III 0 . Our proof relies on methods of crystallographic group theory applied to the orbifold … cheap tool bagsWebHowever, finiteness of the automorphism group is known when the fundamental group of X 𝑋 X italic_X is infinite: when X 𝑋 X italic_X is a Calabi-Yau threefold of Type A, i.e. X 𝑋 X italic_X is an étale quotient of a torus, then Aut (X) Aut 𝑋 \operatorname{Aut}(X) roman_Aut ( italic_X ) is finite by [OS01, Theorem (0.1)(IV)]. cyclades acs 6000 firmwareWebA 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 … cyclades agreg interne