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math.KT2021
Formal ternary laws and Buchstaber's 2-groups
David Coulette, Frédéric Déglise, Jean Fasel +1
We develop the algebraic formalism of the formal ternary laws of C. Walter and we compare them to Buchstaber's 2-valued formal group laws. We also compute the "elementary" formal t…
math.AG2021
Vector bundles on algebraic varieties
Aravind Asok, Jean Fasel
We survey some recent progress in the theory of vector bundles on algebraic varieties and related questions in algebraic K-theory.
math.AG2021
Suslin's cancellation conjecture in the smooth case
Jean Fasel
We prove that stably isomorphic vector bundles of rank d-1 on a smooth affine d-fold X over an algebraically closed field k are indeed isomorphic, provided d! is invertible in k. T…