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Vector bundles over normal varieties trivialized by finite morphisms
Let Y be a normal and projective variety over an algebraically closed field k and V a vector bundle over Y . We prove that if there exist a k -scheme X ...
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On the Geometry of Global Function Fields, the Riemann–Roch Theorem, and Finiteness Properties of S-Arithmetic Groups
In this survey I sketch Behr–Harder reduction theory for reductive groups over global functions fields and briefly describe its applicability in the...
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Remarks on the Isotriviality of Multiloop Algebras
For a given finite dimensional simple Lie algebra g over an algebraically closed field of characteristic 0, we establish the existence of a positive...
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Gersten conjecture for equivariant K-theory and applications
For a reductive group scheme G over a regular semi-local ring A , we prove the Gersten conjecture for the equivariant K -theory. As a consequence, we...
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Finite Flat Group Schemes over Local Artin Rings
Let R be a local Artin ring with maximal ideal m and residue class field of characteristic p > 0. We show that every finite flat group scheme over R ...
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Finite Group Schemes over Bases with Low Ramification
Let A ′ be a complete characteristic (0,p) discrete valuation ring with absolute ramification degree e and a perfect residue field. We are interested...
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A group which has a normal series such that the order of every factor contains at most one prime from π (π is a set of prime numbers). The class of...
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π-Separable Group - A group which has a normal series such that the order of every factor contains at most one prime from π (π is a set of prime...