A derived equivalence of the Libgober-Teitelbaum and the Batyrev-Borisov mirror constructions
Aimeric Malter
TL;DR
This paper establishes a derived equivalence between two different mirror constructions for a specific complete intersection, enhancing understanding of mirror symmetry in algebraic geometry.
Contribution
It proves a derived equivalence between the Libgober-Teitelbaum mirror and the Batyrev-Borisov mirror for a particular complete intersection using GIT variations and advanced methods.
Findings
Proved derived equivalence between two mirror constructions
Applied GIT variations and Favero-Kelly methods
Enhanced understanding of mirror symmetry for complete intersections
Abstract
In this paper we study a particular mirror construction to the complete intersection of two cubics in , 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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematics and Applications · Advanced Numerical Analysis Techniques · Advanced Topics in Algebra