Results 21 to 30 of about 520 (52)
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
Differential equations associated to Families of Algebraic Cycles [PDF]
, 2008 We develop a theory of differential equations associated to families of algebraic cycles in higher Chow groups (i.e., motivic cohomology groups). This formalism is related to inhomogeneous Picard--Fuchs type differential equations.
del Angel, Pedro Luis +1 more
core +3 more sources
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
Veterinary Dermatology, Volume 36, Issue 5, Page 647-659, October 2025.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
An extremal effective survey about extremal effective cycles in moduli spaces of curves
, 2017 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
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
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
On the rationality problem for low degree hypersurfaces
Forum of Mathematics, PiWe show that a very general hypersurface of degree $d \geq 4$ and dimension $N \leq (d+1)2^{d-4}$ over a field of characteristic $\neq 2$ does not admit a decomposition of the diagonal; hence, it is neither stably nor retract ...
Jan Lange, Stefan Schreieder
doaj +1 more source
, 2018 We compute the group of $K_1$-zero-cycles on the second generalized involution variety for an algebra of degree 4 with symplectic involution. This description is given in terms of the group of multipliers of similitudes associated to the algebra with ...
McFaddin, Patrick K.
core +1 more source