Results 21 to 30 of about 421 (57)

Yet another version of Mumford's theorem

, 2015
The aim of this note is to provide a variant statement of Mumford's theorem. This variant states that for a general variety, all Chow groups are "as large as possible", in the sense that they cannot be supported on a divisor.Comment: 7 pages.
Laterveer, Robert
core   +1 more source

Some cubics with finite-dimensional motive

, 2017
This small note presents in any dimension a family of cubics that have finite-dimensional motive (in the sense of Kimura). As an illustration, we verify a conjecture of Voevodsky for these cubics, and a conjecture of Murre for the Fano variety of lines ...
Laterveer, Robert
core   +1 more source

A remark on the Chow ring of some hyperk\"ahler fourfolds

, 2017
Let $X$ be a hyperk\"ahler variety. Voisin has conjectured that the classes of Lagrangian constant cycle subvarieties in the Chow ring of $X$ should lie in a subring injecting into cohomology.
Laterveer, Robert
core   +1 more source

Hard Lefschetz for Chow groups of generalized Kummer varieties

, 2016
The main result of this note is a hard Lefschetz theorem for the Chow groups of generalized Kummer varieties. The same argument also proves hard Lefschetz for Chow groups of Hilbert schemes of abelian surfaces. As a consequence, we obtain new information
Laterveer, Robert
core   +1 more source

Voevodsky's conjecture for cubic fourfolds and Gushel-Mukai fourfolds via noncommutative K3 surfaces [PDF]

, 2018
In the first part of this paper we will prove the Voevodsky's nilpotence conjecture for smooth cubic fourfolds and ordinary generic Gushel-Mukai fourfolds.
Ornaghi, Mattia, Pertusi, Laura
core   +2 more sources

Correlation between the Charged Current Interactions of Light and Heavy Majorana Neutrinos

, 2008
The evidence for neutrino oscillations implies that three neutrino flavors (\nu_e, \nu_\mu, \nu_\tau) must have different mass states (\nu_1, \nu_2, \nu_3).
Ahmad, Ahn, Antusch, Chan, Chao, Chao, Cheng, de Almeida, del Aguila, del Aguila, Eguchi, Fernandez-Martinez, Frampton, Fritzsch, Fritzsch, Fukugita, Gell-Mann, Glashow, Gu, Guo, Han, Han, Harari, Harrison, Harrison, He, Jarlskog, Jung, Kersten, Kuzmin, Luo, Magg, Maki, Minkowski, Mohapatra, Mohapatra, Schechter, Xing, Xing, Xing, Xing, Yanagida, Yao, Zhi-zhong Xing   +43 more
core   +1 more source

On the Chow groups of certain cubic fourfolds

, 2017
This note is about the Chow groups of a certain family of smooth cubic fourfolds. This family is characterized by the property that each cubic fourfold $X$ in the family has an involution such that the induced involution on the Fano variety $F$ of lines ...
Laterveer, Robert
core   +1 more source

Some elementary examples of quartics with finite-dimensional motive

, 2016
This small note contains some easy examples of quartic hypersurfaces that have finite-dimensional motive. As an illustration, we verify a conjecture of Voevodsky (concerning smash-equivalence) for some of these special quartics.Comment: 5 pages, to ...
Laterveer, Robert
core   +1 more source

Algebraic cycles on Severi-Brauer schemes of prime degree over a curve [PDF]

, 2007
Let $k$ be a perfect field and let $p$ be a prime number different from the characteristic of $k$. Let $C$ be a smooth, projective and geometrically integral $k$-curve and let $X$ be a Severi-Brauer $C$-scheme of relative dimension $p-1$ .
Gonzalez-Aviles, Cristian D.
core   +2 more sources

Representation theory and the cycle map of a classifying space

, 2016
We compute the Chern subgroup of the 4-th integral cohomology group of a certain classifying space and show that it is a proper subgroup. Such a classifying space gives us new counterexamples for the integral Hodge and Tate conjectures modulo torsion ...
Kameko, Masaki
core   +1 more source