Review on Special Geometry and Mirror Symmetry for Calabi–Yau Manifolds (Brief Review)
Ten-dimensional Superstring theory unifies the Standard Model of the strong,
electromagnetic, and weak interactions with quantum gravity. Starting with 10-dimensional …
electromagnetic, and weak interactions with quantum gravity. Starting with 10-dimensional …
The stringy Euler number of Calabi-Yau hypersurfaces in toric varieties and the Mavlyutov duality
V Batyrev - arXiv preprint arXiv:1707.02602, 2017 - arxiv.org
We show that minimal models of nondegenerated hypersufaces defined by Laurent
polynomials with a $ d $-dimensional Newton polytope $\Delta $ are Calabi-Yau varieties …
polynomials with a $ d $-dimensional Newton polytope $\Delta $ are Calabi-Yau varieties …
[HTML][HTML] Relationship between two Calabi–Yau orbifolds arising as hyper–surfaces in a quotient of the same weighted projective space
A Belavin, D Gepner - Nuclear Physics B, 2023 - Elsevier
In this article we consider a question: what is the relation between two Calabi-Yau manifolds
of two different Berglund–Hubsch types if they appear as hyper–surfaces in the quotient of …
of two different Berglund–Hubsch types if they appear as hyper–surfaces in the quotient of …
[HTML][HTML] Derived categories of BHK mirrors
We prove a derived analogue to the results of Borisov, Clarke, Kelly, and Shoemaker on the
birationality of Berglund-Hübsch-Krawitz mirrors. Heavily bootstrapping off work of Seidel …
birationality of Berglund-Hübsch-Krawitz mirrors. Heavily bootstrapping off work of Seidel …
Hirzebruch surfaces, Tyurin degenerations and toric mirrors: bridging generalized Calabi-Yau constructions
P Berglund, T Hübsch - arXiv preprint arXiv:2205.12827, 2022 - arxiv.org
There is a large number of different ways of constructing Calabi-Yau manifolds, as well as
related non-geometric formulations, relevant in string compactifications. Showcasing this …
related non-geometric formulations, relevant in string compactifications. Showcasing this …
Periods of the multiple Berglund–Hübsch–Krawitz mirrors
We consider the multiple Calabi–Yau mirror phenomenon which appears in Berglund–
Hübsch–Krawitz (BHK) mirror symmetry. We show that for any pair of Calabi–Yau orbifolds …
Hübsch–Krawitz (BHK) mirror symmetry. We show that for any pair of Calabi–Yau orbifolds …
[HTML][HTML] Equivalence of deformations of Berglund Hübsch mirror pairs
AA Belavin, DR Gepner - Nuclear Physics B, 2024 - Elsevier
We investigate here the deformations of Berglund Hübsch loop and chain mirrors where the
original manifolds are defined in the same weighted projective space. We show that the …
original manifolds are defined in the same weighted projective space. We show that the …
[HTML][HTML] On the birationality of complete intersections associated to nef-partitions
Z Li - Advances in Mathematics, 2016 - Elsevier
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[HTML][HTML] On Clifford double mirrors of toric complete intersections
LA Borisov, Z Li - Advances in Mathematics, 2018 - Elsevier
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Birationality and Landau–Ginzburg Models
P Clarke - Communications in Mathematical Physics, 2017 - Springer
We introduce a new technique for approaching birationality questions that arise in the mirror
symmetry of complete intersections in toric varieties. As an application we answer …
symmetry of complete intersections in toric varieties. As an application we answer …