Symmetric locally free resolutions and rationality problems

DOI10.1142/S021919972250033XarXiv2005.02092MaRDI QIDQ6116350

Author name not available (Why is that?)

Publication date: 11 August 2023

Published in: (Search for Journal in Brave)

Abstract: We show that the birationality class of a quadric surface bundle over $mathbb{P}^2$ is determined by its associated cokernel sheaves. As an application, we discuss stable-rationality of very general quadric bundles over $mathbb{P}^2$ with discriminant curves of fixed degree. In particular, we construct explicit models of these bundles for some discriminant data. Among others, we obtain various birational models of a nodal Gushel-Mukai fourfold, as well as of a cubic fourfold containing a plane. Finally, we prove stable irrationality of several types of quadric surface bundles.

Full work available at URL: https://arxiv.org/abs/2005.02092

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Symmetric locally free resolutions and rationality problems

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6116350)