Results 191 to 200 of about 161,671 (322)

A note on the cohomology of moduli spaces of local shtukas

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley   +1 more source

The log Grothendieck ring of varieties

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross   +4 more
wiley   +1 more source

On higher Jacobians, Laplace equations, and Lefschetz properties

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract Let A$A$ be a standard graded Artinian K$\mathbb {K}$‐algebra over a field of characteristic zero. We prove that the failure of strong Lefschetz property (SLP) for A$A$ is equivalent to the osculating defect of a certain rational variety.
Charles Almeida   +2 more
wiley   +1 more source

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