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math.AG2025
Universal Brauer-Severi varieties
Frank Gounelas, Daniel Huybrechts
We construct universal Brauer-Severi varieties of fixed period and index and study their geometry. We determine their cohomology and their Brauer and Picard groups and show that th…
math.AG2025
When is the diagonal contractible?
Xi Chen, Frank Gounelas
For a smooth projective complex variety , we study the problem of when there exists a birational morphism to a projective variety contracting the diagonal $…