Notes on the decomposition theorem for blowups
Algebraic Geometry
2026-04-21 v2 Symplectic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.2604.10028,
title = {Notes on the decomposition theorem for blowups},
author = {Hiroshi Iritani},
journal= {arXiv preprint arXiv:2604.10028},
year = {2026}
}
Comments
10 pages, v2: refined main results