MATH Seminar

Title: Rationality of Brauer-Severi surface bundles over rational 3-folds
Seminar: Algebra and Number Theory
Speaker: Shitan Xu of Michigan State University
Contact: Deependra Singh, deependra.singh@emory.edu
Date: 2025-03-04 at 4:00PM
Venue: MSC W303
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Abstract:
Rationality problems for conic bundles have been well studied over surfaces. In this talk, we generalize an etale cohomology diagram from the case of conic bundles to Brauer-Severi surface bundles over rational 3-folds . We use this generalization to prove a sufficient condition for a Brauer-Severi surface bundle to be not stably Rational. We also give an example satisfying these sufficient conditions.

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