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math.AG2013★ 72 cited
A quadratic refinement of the Grothendieck-Lefschetz-Verdier trace formula
Marc Hoyois
We prove a trace formula in stable motivic homotopy theory over a general base scheme, equating the trace of an endomorphism of a smooth proper scheme with the "Euler characteristi…
math.AG2013
The motivic Steenrod algebra in positive characteristic
Marc Hoyois, Shane Kelly, Paul Arne Østvær
Let S be an essentially smooth scheme over a field and l a prime number invertible on S. We show that the algebra of bistable operations in the mod l motivic cohomology of smooth S…