Results 21 to 30 of about 538 (69)
Yet another version of Mumford's theorem
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
A remark on the Chow ring of some hyperk\"ahler fourfolds
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
Background – Inhibition of the Janus kinase (JAK) pathway is a well‐established option for canine atopic dermatitis (cAD). Objective – To evaluate the efficacy and safety of ilunocitinib, a novel JAK inhibitor for the control of pruritus and skin lesions in client‐owned dogs with cAD.
Sophie Forster +5 more
wiley +1 more source
Some cubics with finite-dimensional motive
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 short note on the weak Lefschetz property for Chow groups
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
Algebraic cycles on Severi-Brauer schemes of prime degree over a curve [PDF]
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
An extremal effective survey about extremal effective cycles in moduli spaces of curves
We survey recent developments and open problems about extremal effective divisors and higher codimension cycles in moduli spaces of curves.Comment: Submitted to the Proceedings of the Abel Symposium 2017.
A-M Castravet +24 more
core +1 more source
A remark on Beauville's splitting property
Let $X$ be a hyperk\"ahler variety. Beauville has conjectured that a certain subring of the Chow ring of $X$ should inject into cohomology. This note proposes a similar conjecture for the ring of algebraic cycles on $X$ modulo algebraic equivalence: a ...
Laterveer, Robert
core +1 more source
On a multiplicative version of Bloch's conjecture
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
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

