Notes on the decomposition theorem for blowups

Fuente: arXiv
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Main Author: Iritani, Hiroshi
Format: Preprint
Published: 2026
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author Iritani, Hiroshi
author_facet Iritani, Hiroshi
contents We discuss arithmetic and Hodge-theoretic properties of the isomorphisms appearing in the decomposition theorem for quantum cohomology of blowups. These properties underpin the application to the rationality questions by Katzarkov-Kontsevich-Pantev-Yu.
format Preprint
id arxiv_https___arxiv_org_abs_2604_10028
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Notes on the decomposition theorem for blowups
Iritani, Hiroshi
Algebraic Geometry
Symplectic Geometry
We discuss arithmetic and Hodge-theoretic properties of the isomorphisms appearing in the decomposition theorem for quantum cohomology of blowups. These properties underpin the application to the rationality questions by Katzarkov-Kontsevich-Pantev-Yu.
title Notes on the decomposition theorem for blowups
topic Algebraic Geometry
Symplectic Geometry
url https://arxiv.org/abs/2604.10028