3 citations · 5 across the 5 of their papers we have counts for
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math.AG2019
Hodge-to-de Rham degeneration for stacks
Dmitry Kubrak, Artem Prikhodko
We introduce a notion of a Hodge-proper stack and extend the method of Deligne-Illusie to prove the Hodge-to-de Rham degeneration in this setting. In order to reduce the statement…
math.AG2019★ 1 cited
Equivariant Grothendieck-Riemann-Roch theorem via formal deformation theory
Grigory Kondyrev, Artem Prikhodko
We use the formalism of traces in higher categories to prove a common generalization of the holomorphic Atiyah-Bott fixed point formula and the Grothendieck-Riemann-Roch theorem. T…