Quantum Euler class and virtual Tevelev degrees of Fano complete intersections

2022/04/03 by Alessio Cela, Cela, Alessio · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2204.01151

openalex publication_date 2022/04/03 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

We compute the quantum Euler class of Fano complete intersections X in a projective space. In particular, we prove a recent conjecture of A. Buch and R. Pandharipande. Finally we apply our result to obtain formulas for the virtual Tevelev degrees of X. An algorithm computing all genus 0 two-point Hyperplane Gromov Witten invariants of X is illustrated along the way.

Cited by

• Intersection Theory of Hyperquot Schemes on curves
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Related

• Tevelev degrees in Gromov-Witten theory
• Big quantum cohomology of Fano complete intersections
• Computing Gromov-Witten invariants of some Fano varieties
• Enumerativity of virtual Tevelev degrees
• Derived Resolution Property for Stacks, Euler Classes and Applications