Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Scavia, Federico"'
Autor:
Scavia, Federico
Publikováno v:
Comptes Rendus. Mathématique, Vol 359, Iss 3, Pp 305-311 (2021)
We prove that the obstruction to the integral Hodge Question factors through the completion of the Grothendieck ring of varieties for the dimension filtration. As an application, combining work of Peyre, Colliot-Thélène and Voisin, we give the firs
Externí odkaz:
https://doaj.org/article/1fd451b52bb94cb38d011de3e8e5ad88
Autor:
Merkurjev, Alexander, Scavia, Federico
Let $p$ be a prime number and let $F$ be a field of characteristic different from $p$. We prove that there exist a field extension $L/F$ and $a,b,c,d$ in $L^{\times}$ such that $(a,b)=(b,c)=(c,d)=0$ in $\mathrm{Br}(F)[p]$ but $\langle a,b,c,d\rangle$
Externí odkaz:
http://arxiv.org/abs/2309.17004
Autor:
Merkurjev, Alexander, Scavia, Federico
Let $p$ be a prime number, let $G$ be a profinite group, let $\theta\colon G\to \mathbb{Z}_p^{\times}$ be a continuous character, and for all $n\geq 1$ write $\mathbb{Z}/p^n\mathbb{Z}(1)$ for the twist of $\mathbb{Z}/p^n\mathbb{Z}$ by the $G$-action.
Externí odkaz:
http://arxiv.org/abs/2308.13682
Autor:
Scavia, Federico
Let $E$ be the Fermat cubic curve over $\bar{\mathbb{Q}}$. In 2002, Schoen proved that the group $CH^2(E^3)/\ell$ is infinite for all primes $\ell\equiv 1\pmod 3$. We show that $CH^2(E^3)/\ell$ is infinite for all prime numbers $\ell> 5$. This gives
Externí odkaz:
http://arxiv.org/abs/2307.05729
Autor:
Scavia, Federico, Suzuki, Fumiaki
We extend the basic theory of the coniveau and strong coniveau filtrations to the $\ell$-adic setting. By adapting the examples of Benoist--Ottem to the $\ell$-adic context, we show that the two filtrations differ over any algebraically closed field
Externí odkaz:
http://arxiv.org/abs/2304.08560
Autor:
Merkurjev, Alexander, Scavia, Federico
We prove the Massey Vanishing Conjecture for $n=4$ and $p=2$. That is, we show that for all fields $F$, if a fourfold Massey product modulo $2$ is defined over $F$, then it vanishes over $F$.
Externí odkaz:
http://arxiv.org/abs/2301.09290
For specific classes of smooth, projective varieties $X$ over a field $k$, we compare two cycle maps on the torsion subgroup $CH^2(X)_{\text{tors} }$ of the second Chow group. The first one goes back to work of S. Bloch (1981), the second one is Jann
Externí odkaz:
http://arxiv.org/abs/2212.05761
Autor:
Esser, Louis, Scavia, Federico
Let $G$ be a finite group, $X$ be a smooth complex projective variety with a faithful $G$-action, and $Y$ be a resolution of singularities of $X/G$. Larsen and Lunts asked whether $[X/G]-[Y]$ is divisible by $[\mathbb{A}^1]$ in the Grothendieck ring
Externí odkaz:
http://arxiv.org/abs/2208.14313
Autor:
Kubrak, Dmitry, Scavia, Federico
Let $G$ be a smooth connected reductive group over a field $k$ and $\Gamma$ be a central subgroup of $G$. We construct Eilenberg-Moore-type spectral sequences converging to the Hodge and de Rham cohomology of $B(G/\Gamma)$. As an application, buildin
Externí odkaz:
http://arxiv.org/abs/2208.13551
Autor:
Merkurjev, Alexander, Scavia, Federico
We prove that, for all fields $F$ of characteristic different from $2$ and all $a,b,c\in F^\times$, the mod $2$ Massey product $\langle a,b,c,a \rangle$ vanishes as soon as it is defined. For every field $F_0$, we construct a field $F$ containing $F_
Externí odkaz:
http://arxiv.org/abs/2208.13011