Work

Monodromy and Big Quantum Cohomology of Hyperplane Sections of (co)adjoint Varieties

Year: 2026

Type: preprint

Abstract: We study the monodromy representation of general hyperplane sections of (co)adjoint varieties. We apply this result to reduce the generic semisemplicity of the big quantum cohomology to its ambient part, and to prove that the big quantum cohomology of general hyperplane sections of IGr(2, 6) is generically semisimple and satisfies Dubrovin's conjecture.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.26037

Authors: Benedetti, Vladimiro, Billi, Simone, Perrin, Nicolas

Institutions: Laboratoire Jean-Alexandre Dieudonné, Centre de Mathématiques Laurent Schwartz

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Awards: G5296751580, From Fano to hyperKähler varieties: geometry and derived categories

OpenAlex ID: W7223049869

Cites: 9

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Related to: 10