A Derived Equivalence of the Libgober–Teitelbaum and the Batyrev–Borisov Mirror Constructions

Author:

Malter Aimeric1

Affiliation:

1. School of Mathematics, University of Birmingham , Edgbaston, Birmingham B15 2TT, UK

Abstract

Abstract In this paper, we study a particular mirror construction to the complete intersection of two cubics in $\operatorname{{\mathbb{P}}}^{5}$, due to Libgober and Teitelbaum. Using variations of geometric invariant theory and methods of Favero and Kelly, we prove a derived equivalence of this mirror to the Batyrev–Borisov mirror of the complete intersection.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference26 articles.

1. Families of Calabi–Yau hypersurfaces in $\mathbb \{Q\}$-Fano toric varieties;Artebani;J. Math. Pures Appl. (9),2016

2. Dual polyhedra and mirror symmetry for Calabi–Yau hypersurfaces in toric varieties;Batyrev;J. Algebraic Geom.,1994

3. On Calabi–Yau complete intersections in toric varieties;Batyrev,1996

4. A generalized construction of mirror manifolds;Berglund,1992

5. Combinatorial aspects of mirror symmetry;Batyrev,2008

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