33 citations · 201 across the 29 of their papers we have counts for
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Remarks on the Milnor conjecture over schemes
Asher Auel
The Milnor conjecture has been a driving force in the theory of quadratic forms over fields, guiding the development of the theory of cohomological invariants, ushering in the theo…
Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems
Asher Auel, Marcello Bernardara, Michele Bolognesi
Let X -> Y be a fibration whose fibers are complete intersections of two quadrics. We develop new categorical and algebraic tools---a theory of relative homological projective dual…
Surjectivity of the total Clifford invariant and Brauer dimension
Asher Auel
Merkurjev's theorem--the statement that the 2-torsion of the Brauer group is represented by Clifford algebras of quadratic forms--is in general false when the base is no longer a f…
Vector bundles of rank four and A_3 = D_3
Asher Auel
Over a scheme with 2 invertible, we show that a vector bundle of rank four has a sub or quotient line bundle if and only if the canonical symmetric bilinear form on its exterior sq…