Moscow Mathematical Journal

Volume 19, Issue 3, July–September 2019 pp. 549–595.

Models of Brauer–Severi Surface Bundles

Authors: Andrew Kresch (1) and Yuri Tschinkel (2)
Author institution:(1) Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
(2) Courant Institute, 251 Mercer Street, New York, NY 10012, USA
Simons Foundation, 160 Fifth Av., New York, NY 10010, USA

Summary:

We study Brauer–Severi surface bundles over smooth projective varieties via root stacks, with a view towards applications to failure of stable rationality.

2010 Math. Subj. Class. 14D06, 14D23, 14E08, 14F22.

Keywords: Brauer–Severi surface bundles, Brauer groups, root stacks, stable rationality.

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