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20122025
most citedRank stability in quadratic extensions and Hilbert's tenth problem for the ring of integers of a number field

1 citations · 1 across the 2 of their papers we have counts for

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Showing 2018Show all

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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…