Results 31 to 40 of about 538 (69)

On the rationality problem for low degree hypersurfaces

Forum of Mathematics, Pi
We 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

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

Brill-Noether loci of pencils with prescribed ramification on moduli of curves and on severi varieties on $K3$ surfaces

Forum of Mathematics, Sigma
Under the assumption that the adjusted Brill-Noether number $\widetilde {\rho }$ is at least $-g$ , we prove that the Brill-Noether loci in ${\mathcal M}_{g,n}$ of pointed curves carrying pencils with prescribed ramification at the ...
Andreas Leopold Knutsen, Sara Torelli
doaj   +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

Zero-cycles with coefficients for the second generalized symplectic involution variety of an algebra of degree 4

, 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

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

N\'eron-Severi group of a general hypersurface

, 2016
In this paper we extend the well known theorem of Angelo Lopez concerning the Picard group of the general space projective surface containing a given smooth projective curve, to the intermediate N\'eron-Severi group of a general hypersurface in any ...
Di Gennaro, Vincenzo, Franco, Davide
core   +1 more source

On the Chow groups of some hyperk\"ahler fourfolds with a non-symplectic involution

, 2017
This note concerns hyperk\"ahler fourfolds $X$ having a non-symplectic involution $\iota$. The Bloch-Beilinson conjectures predict the way $\iota$ should act on certain pieces of the Chow groups of $X$.
Laterveer, Robert
core   +1 more source

Correspondences between projective planes [PDF]

, 2014
We characterize integral homology classes of the product of two projective planes which are representable by a subvariety.Comment: Improved readability, 14 ...
Huh, June
core  

Lagrangian 4-planes in holomorphic symplectic varieties of K3[4]-type

Open Mathematics, 2014
Bakker Benjamin, Jorza Andrei
doaj   +1 more source