Tropical degenerations and stable rationality
File(s)
Accepted version
Author(s)
Nicaise, Johannes
Ottem, John Christian
Type
Journal Article
Abstract
We use the motivic obstruction to stable rationality introduced by Shinder
and the first-named author to establish several new classes of stably
irrational hypersurfaces and complete intersections. In particular, we show
that very general quartic fivefolds and complete intersections of a quadric and a cubic in $\mathbb P^6$ are stably irrational. An important new ingredient is the use of tropical degeneration techniques.
and the first-named author to establish several new classes of stably
irrational hypersurfaces and complete intersections. In particular, we show
that very general quartic fivefolds and complete intersections of a quadric and a cubic in $\mathbb P^6$ are stably irrational. An important new ingredient is the use of tropical degeneration techniques.
Date Issued
2022-10-15
Date Acceptance
2021-09-14
Citation
Duke Mathematical Journal, 2022, 171 (15), pp.3023-3075
ISSN
0012-7094
Publisher
Duke University Press
Start Page
3023
End Page
3075
Journal / Book Title
Duke Mathematical Journal
Volume
171
Issue
15
Copyright Statement
Copyright © 2022 Duke University Press
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Identifier
http://arxiv.org/abs/1911.06138v3
Grant Number
EP/S025839/1
Subjects
math.AG
math.AG
Notes
v3: introduction expanded; section 2 rewritten based on the material in [NO20]; new results added (Theorem 5.8 and Section 6)
Publication Status
Published
Date Publish Online
2022-09-21