A proof of the birationality of certain BHK-mirrors

• Autorzy: Patrick Clarke
• Języki publikacji: EN

Abstrakty

EN

We generalize and give an elementary proof of Kelly’s refinement [9] of Shoemaker’s result [11] on the birationality of certain BHK-mirrors. Our approach uses a construction that is equivalent to the Krawitz generalization [10] of the duality in Berglund-Hübsch [2].

• Wydawca: De Gruyter Open
• Czasopismo: Complex Manifolds
• Rocznik: 2014
• Tom: 1
• Numer: 1

Daty

otrzymano

2014-03-28

zaakceptowano

2014-06-03

online

2014-08-06

Twórcy

autor

Patrick Clarke

• Drexel University Department of Mathematics

Bibliografia

• [1] Victor V. Batyrev. Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties. J. Algebraic Geom., 3(3):493–535, 1994.
• [2] Per Berglund and Tristan Hübsch. A generalized construction of mirror manifolds. In Essays on mirror manifolds, pages 388–407. Int. Press, Hong Kong, 1992.
• [3] Lev Borisov. Towards the Mirror Symmetry for Calabi-Yau Complete intersections in Gorenstein Toric Fano Varieties.
• [4] Patrick Clarke. Duality for toric Landau-Ginzburg models.
• [5] Patrick Clarke. Berglund-Hübsch-Krawitz duality as Duality for toric Landau-Ginzburg models. University of Michigan RTG Workshop on Mirror Symmetry, 2012.
• [6] Alexander B. Givental. Equivariant Gromov-Witten invariants. Internat. Math. Res. Notices, (13):613–663, 1996.
• [7] B. R. Greene and M. R. Plesser. Duality in Calabi-Yau moduli space. Nuclear Phys. B, 338(1):15–37, 1990.
• [8] Kentaro Hori and Cumrun Vafa. Mirror Symmetry.
• [9] Tyler Kelly. Berglund-Hüsch-krawitz Mirrors via Shioda Maps. Advances in Theoretical and Mathematical Physics. to appear. [WoS]
• [10] Marc Krawitz. FJRW rings and Landau-Ginzburg mirror symmetry. ProQuest LLC, Ann Arbor, MI, 2010. Thesis (Ph.D.)– University of Michigan.
• [11] Mark Shoemaker. Birationality of Berglund-Hübsch-Krawitz Mirrors. [WoS]

Identyfikatory

DOI

10.2478/coma-2014-0003