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Relative quantum cohomology under birational transformations

2022/04/01 by Fenglong You, You, Fenglong
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2204.00509

openalex publication_date 2022/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study how relative quantum cohomology, defined by Tseng--You and Fan--Wu--You, varies under birational transformations. For toric complete intersections with simple normal crossings divisors that contain the loci of indeterminacy, we prove that their respective relative I-functions can be directly identified. For toric complete intersections with smooth divisors, we prove that their respective relative I-functions are related by analytic continuation. We also study some connections with extremal transitions and FJRW theory.

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