Notes on the decomposition theorem for blowups
Hiroshi Iritani
TL;DR
This paper explores the arithmetic and Hodge-theoretic aspects of the decomposition theorem in quantum cohomology of blowups, linking it to rationality questions.
Contribution
It provides new insights into the properties of isomorphisms in the decomposition theorem for quantum cohomology of blowups, with implications for rationality problems.
Findings
Analysis of arithmetic properties of decomposition isomorphisms
Hodge-theoretic properties underpin rationality applications
Connections to Katzarkov-Kontsevich-Pantev-Yu rationality questions
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.
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