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math.AG2018
Galois closures of non-commutative rings and an application to Hermitian representations
Wei Ho, Matthew Satriano
Galois closures of commutative rank n ring extensions were introduced by Bhargava and the second author. In this paper, we generalize the construction to the case of non-commutativ…
math.AG2018
Splitting Brauer classes using the universal Albanese
Wei Ho, Max Lieblich
We prove that every Brauer class over a field splits over a torsor under an abelian variety. If the index of the class is not congruent to 2 modulo 4, we show that the Albanese var…
math.AG2012
Genus one curves and Brauer-Severi varieties
Aise Johan de Jong, Wei Ho
Let K be a field. Let A be a central simple algebra over K and let X be the associated Brauer-Severi variety over K. It has recently been asked if there exists a genus 1 curve C ov…