On q-de Rham cohomology via $$\Lambda $$Λ-rings
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Annalen"
DOI: 10.1007/s00208-019-01806-7
Abstract: We show that Aomoto’s q-deformation of de Rham cohomology arises as a natural cohomology theory for $$\Lambda $$Λ-rings. Moreover, Scholze’s $$(q-1)$$(q-1)-adic completion of q-de Rham cohomology depends only on the Adams operations at each residue… read more here.
Keywords: rham cohomology; via lambda; cohomology; lambda rings ... See more keywords
Duality and de Rham cohomology for graded D-modules
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2018.07.005
Abstract: We consider the (graded) Matlis dual $\DD(M)$ of a graded $\D$-module $M$ over the polynomial ring $R = k[x_1, \ldots, x_n]$ ($k$ is a field of characteristic zero), and show that it can be given… read more here.
Keywords: duality rham; module; rham cohomology; cohomology ... See more keywords
A basis of algebraic de Rham cohomology of complete intersections over a characteristic zero field
Sign Up to like & getrecommendations! Published in 2021 at "Communications in Algebra"
DOI: 10.1080/00927872.2021.1981359
Abstract: Let k be a field of characteristic 0. Let X be a smooth complete intersection over k of dimension n − k in the projective space P k , for given positive integers n and… read more here.
Keywords: field; basis; algebraic rham; rham cohomology ... See more keywords