Results 31 to 40 of about 469 (86)

A short note on the weak Lefschetz property for Chow groups

, 2015
Motivated by the Bloch-Beilinson conjectures, we formulate a certain covariant weak Lefschetz property for Chow groups. We prove this property in some special cases, using Kimura's nilpotence theorem.Comment: 9 pages. Comments welcome !
Laterveer, Robert
core   +2 more sources

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

Special correspondences and Chow traces of Landweber-Novikov operations

, 2007
We prove that the function field of a variety which possesses a special correspondence in the sense of M. Rost preserves the rationality of cycles of small codimensions.
Zainoulline, Kirill
core   +5 more sources

On a multiplicative version of Bloch's conjecture

, 2016
A theorem of Esnault, Srinivas and Viehweg asserts that if the Chow group of 0-cycles of a smooth complete complex variety decomposes, then the top-degree coherent cohomology group decomposes similarly. In this note, we prove that (a weak version of) the
Laterveer, Robert
core   +1 more source

Correspondences and singular varieties

, 2015
What is generally known as the "Bloch--Srinivas method" consists of decomposing the diagonal of a smooth projective variety, and then considering the action of correspondences in cohomology.
Laterveer, Robert
core   +1 more source

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 integral cohomology of smooth toric varieties

, 2003
Let $X_\Sigma$ be a smooth, not necessarily compact toric variety. We show that a certain complex, defined in terms of the fan $\Sigma$, computes the integral cohomology of $X_\Sigma$, including the module structure over the homology of the torus.
D. Cox, D. H. Husemoller, D. Notbohm, E. Bifet, I. V. Baskakov, J. McCleary, J. P. May, M. Brion, M. Franz, M. Franz, M. W. Davis, R. Bott, V. K. A. M. Gugenheim, V. M. Buchstaber, V. M. Buchstaber, W. Fulton, W. Fulton   +16 more
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

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

Algebraic cycles on certain hyperkaehler fourfolds with an order $3$ non-symplectic automorphism

, 2017
Let $X$ be a hyperk\"ahler variety, and assume $X$ has a non-symplectic automorphism $\sigma$ of order $>{1\over 2}\dim X$. Bloch's conjecture predicts that the quotient $X/$ should have trivial Chow group of $0$-cycles. We verify this for Fano varieties
Laterveer, Robert
core   +2 more sources