Calabi-Yau complete intersections associated to good pairs of generalized nef partitions

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Michela Artebani, Paola Comparin, Robin Guilbot
DOI: 10.48550/arxiv.2602.14851
Cited by: 0

Abstract

We introduce the notion of good pair of generalized nef partitions to describe Calabi-Yau complete intersections in Q-Fano toric varieties whose equations do not necessarily have maximal Newton polytopes. Moreover, we define a natural duality between them which generalizes Batyrev-Borisov mirror duality and allows to define a generalization of Berglund-Hübsch-Krawitz duality to quasismooth complete intersections.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Geometry and complex manifolds Advanced Combinatorial Mathematics

Publication details

Journal / source
arXiv (Cornell University)
Publication date
16 February 2026
Language
EN
Document type
Preprint