Nicola Mazzari

activity

20102023

most citedCycle classes and the syntomic regulator

12 citations · 27 across the 8 of their papers we have counts for

collaborators

8 papers

math.NT2023

A Conjecture of Flach and Morin

Bruno Chiarellotto, Nicola Mazzari, Yukihide Nakada

A conjecture, recently stated by Flach and Morin, relates the action of the monodromy on the Galois invariant part of the p-adic Beilinson-Hyodo-Kato cohomology of the generic fibe…

math.NT2022

Canonical Witt formal scheme extensions and p-torsion groups

Alessandra Bertapelle, Nicola Mazzari, Arnab Saha

We study the $n$ -th arithmetic jet space of the $p$ -torsion subgroup attached to a smooth commutative formal group scheme. We show that the $n$ -th jet space above fits in the middl…

math.NT2021

Multivariable de Rham representations, Sen theory and $p$ -adic differential equations

Olivier Brinon, Bruno Chiarellotto, Nicola Mazzari

Let $K$ be a complete valued field extension of $Q_{p}$ with perfect residue field. We consider $p$ -adic representations of a finite product $G_{K, Δ} = G_{K}^{Δ}$ of the absolute…

math.KT2019

Extensions of filtered Ogus structures

Bruno Chiarellotto, Nicola Mazzari

We compute the Ext group of the (filtered) Ogus category over a number field $K$ . In particular we prove that the filtered Ogus realisation of mixed motives is not fully faithful.

math.AG2019★ 1 cited

The Fontaine-Ogus realisation of Laumon 1-motives

Nicola Mazzari

We construct the (filtered) Ogus realisation of Laumon 1-motives over a number field. This realisation extends the functor defined on Deligne 1-motives by Andreatta, Barbieri-Viale…

math.NT2018★ 2 cited

The filtered Ogus realisation of motives

Bruno Chiarellotto, Christopher Lazda, Nicola Mazzari

We construct the (filtered) Ogus realisation of Voevodsky motives over a number field $K$ . This realisation extends the functor defined on $1$ -motives by Andreatta, Barbieri-Viale…

math.KT2012★ 12 cited

The rigid syntomic ring spectrum

Frédéric Déglise, Nicola Mazzari

The aim of this paper is to show that Besser syntomic cohomology is representable by a rational ring spectrum in the motivic homotopical sense. In fact, extending previous construc…

math.AG2010★ 12 cited

Cycle classes and the syntomic regulator

B. Chiarellotto, A. Ciccioni, N. Mazzari

Let $V = S p ec (R)$ and $R$ be a complete discrete valuation ring of mixed characteristic $(0, p)$ . For any flat $R$ -scheme $X$ we prove the compatibility of the de Rham fundamental cla…