Results 31 to 40 of about 520 (52)

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

open access: yesForum 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

N\'eron-Severi group of a general hypersurface

open access: yes, 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

open access: yes, 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

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

open access: yes, 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

A note on the unirationality of a moduli space of double covers

open access: yes, 2010
In this note we look at the moduli space $\cR_{3,2}$ of double covers of genus three curves, branched along 4 distinct points. This space was studied by Bardelli, Ciliberto and Verra.
Iyer, Jaya NN, Müller-Stach, Stefan
core   +1 more source

A remark on the motive of the Fano variety of lines of a cubic

open access: yes, 2016
Let $X$ be a smooth cubic hypersurface, and let $F$ be the Fano variety of lines on $X$. We establish a relation between the Chow motives of $X$ and $F$.
Laterveer, Robert
core   +2 more sources

Correspondences between projective planes [PDF]

open access: yes, 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  

Correspondences and singular varieties

open access: yes, 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

On a multiplicative version of Bloch's conjecture

open access: yes, 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

Hodge numbers for the cohomology of Calabi-Yau type local systems

open access: yes, 2013
We use Higgs cohomology to determine the Hodge numbers of the first intersection cohomology group of a local system V arising from the third direct image of a family of Calabi-Yau 3-folds over a smooth, quasi-projective curve.
A. Garbagnati   +9 more
core   +1 more source

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