Results 31 to 40 of about 421 (57)
A remark on the motive of the Fano variety of lines of a cubic
, 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
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A remark on Beauville's splitting property
, 2017 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
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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
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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
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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
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On Voisin's conjecture for zero-cycles on hyperkaehler varieties
, 2017 Motivated by the Bloch-Beilinson conjectures, Voisin has made a conjecture concerning zero-cycles on self-products of Calabi-Yau varieties. We reformulate Voisin's conjecture in the setting of hyperk\"ahler varieties, and we prove this reformulated ...
Laterveer, Robert
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Note on the counterexamples for the integral Tate conjecture over finite fields
, 2014 In this note we discuss some examples of non torsion and non algebraic cohomology classes for varieties over finite fields.
Pirutka, Alena, Yagita, Nobuaki
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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
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Multiplicative properties of the multiplicative group
, 2017 We give a few properties equivalent to the Bloch-Kato conjecture (now the norm residue isomorphism theorem).Comment: 10 pages; some words added at the end of the ...
Kahn, Bruno
core
Assessment of natural groundwater reserve of a morphodynamic system using an information-based model in a part of Ganga basin, Northern India. [PDF]
Sci Rep, 2022 Mondal NC, Ajaykumar V.
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