Journal ArticleDOI
The moduli space of 3-folds with K =0 may nevertheless be irreducible
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This article is published in Mathematische Annalen.The article was published on 1987-03-01. It has received 250 citations till now. The article focuses on the topics: Moduli of algebraic curves & Modular equation.read more
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Complete classification of reflexive polyhedra in four-dimensions
Maximilian Kreuzer,Harald Skarke +1 more
TL;DR: In this article, the authors obtained all 473,800,776 reflexive polyhedra that exist in four dimensions and the 30,108 distinct pairs of Hodge numbers of the resulting Calabi-Yau manifolds.
Journal ArticleDOI
Black hole condensation and the unification of string vacua
TL;DR: In this article, it was shown that black hole condensation can occur at conifold singularities in the moduli space of type II Calabi-Yau string vacua.
Journal ArticleDOI
Mirror Symmetry in Generalized Calabi-Yau Compactifications
TL;DR: In this article, the mirror symmetry in generalized Calabi-Yau compactifications of type II string theories with background NS fluxes was discussed, and it was shown that the mirror type IIA theory arises from a purely geometrical compactification on a different class of sixmanifolds.
Posted Content
K3 Surfaces and String Duality
TL;DR: The main purpose of these lecture notes is to explore the moduli space of type IIA, type IIB, and heterotic string compactified on a K3 surface as mentioned in this paper.
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Mirror symmetry in generalized Calabi–Yau compactifications ☆
TL;DR: In this article, mirror symmetry in generalized Calabi-Yau compactifications of type-II string theories with background NS-fluxes was discussed, and the mirror type IIA theory arises from a purely geometrical compactification on a different class of six-manifolds.
References
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Journal ArticleDOI
On the Periods of Certain Rational Integrals: II
TL;DR: In this paper, the authors re-prove Macaulay's theorem 4.11 is essentially equivalent to a suitable vanishing theorem for sheaf cohomology and give a proof of the de Rham algebraic theorem used in the proof of Theorem 5.3.
Proceedings ArticleDOI
Minimal Models of Canonical 3-Folds
TL;DR: Theorem (2.6) is based on the Brieskorn-Tyurina result on the existence of simultaneous resolutions of a family of Du Val surface singularities, together with the elementary transformations in $(-2)$-curves of Burns and Rapoport as discussed by the authors.