an:06476700
Zbl 1320.32032
Clarke, Patrick
A proof of the birationality of certain BHK-mirrors
EN
Complex Manifolds 1, 45-51 (2014).
00347707
2014
j
32Q25 14J32
BHK-mirrors, birationality
Summary: We generalize and give an elementary proof of \textit{T. L. Kelly}'s refinement [Adv. Theor. Math. Phys. 17, No. 6, 1425--1449 (2013; Zbl 1316.14076)] of \textit{M. Shoemaker}'s result [Commun. Math. Phys. 331, No. 2, 417--429 (2014; Zbl 1395.14034)] on the birationality of certain BHK-mirrors. Our approach uses a construction that is equivalent to the generalization of \textit{M. Krawitz} [FJRW rings and Landau-Ginzburg mirror symmetry. Ann Arbor, MI: ProQuest LLC, University of Michigan (PhD Thesis) (2010)] of the duality in [\textit{P. Berglund} and \textit{T. H??bsch}, in: Essays on mirror manifolds. Cambridge, MA: International Press. 388-407 (1992; Zbl 0842.32023)].
Zbl 1316.14076; Zbl 1395.14034; Zbl 0842.32023