Tensor structure on perverse Nori motives

L Terenzi - arXiv preprint arXiv:2401.13547, 2024 - arxiv.org
Let $ k $ be a field of characteristic $0 $ endowed with a fixed field embedding $\sigma:
k\hookrightarrow\mathbb {C} $. In this paper we complete the construction of the six functor …

On the Nori and Hodge realisations of Voevodsky\'etale motives

S Tubach - arXiv preprint arXiv:2309.11999, 2023 - arxiv.org
We show that the derived category of perverse Nori motives and mixed Hodge modules are
the derived categories of their constructible hearts. This enables us to construct $\infty …

The four operations on perverse motives

F Ivorra, S Morel - Journal of the European Mathematical Society, 2024 - ems.press
Let k be a field of characteristic zero with a fixed embedding W k,! C into the field of complex
numbers. Given a k-variety X, we use the triangulated category of étale motives with rational …

[PDF][PDF] On the six functor formalism for Nori motivic sheaves

L Terenzi - 2023 - scholar.archive.org
In this thesis we complete the construction of the Six Functor Formalism for perverse Nori
motives initiated by F. Ivorra and S. Morel. Our main contribution is the construction of a …

Hodge realizations of 1-motives and the derived Albanese

V Vologodsky - Journal of K-theory, 2012 - cambridge.org
We prove that the embedding of the derived category of 1-motives up to isogeny into the
triangulated category of effective Voevodsky motives, as well as its left adjoint functor LAlbℚ …

[PDF][PDF] The Albanese functor commutes with the Hodge realization

V Vologodsky - arXiv preprint arXiv:0809.2830, 2008 - Citeseer
We prove that the embedding of the derived category of 1-motives up to isogeny into the
triangulated category of effective Voevodsky motives, as well as its left adjoint functor LAlbQ …