Motivic cohomology and $K$-theory of some surfaces over finite fields (Q6185293)

scientific article; zbMATH DE number 7784728

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English	Motivic cohomology and $K$-theory of some surfaces over finite fields	scientific article; zbMATH DE number 7784728

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instance of

scholarly article

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title

Motivic cohomology and $K$-theory of some surfaces over finite fields (English)

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author

Oliver Gregory

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published in

Journal of Pure and Applied Algebra

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publication date

8 January 2024

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full work available at URL

https://arxiv.org/abs/2302.09867

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MaRDI profile type

MaRDI publication profile

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cites work

Supersingular $K3$ surfaces

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Formal groups arising from algebraic varieties

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Cycles, derived categories, and rationality

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Remarks on Correspondences and Algebraic Cycles

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Algebraic cycles and higher K-theory

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Enriques' classification of surfaces in char p. III

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The Tate conjecture for $K3$ surfaces over finite fields

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The period-index problem in WC-groups. IV: A local transition theorem

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Torsion dans le groupe de Chow de codimension deux

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Motifs, L-functions, and the K-cohomology of rational surfaces over finite fields

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Q4010221

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Q3328651

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Tate's conjecture, algebraic cycles and rational $K$-theory in characteristic $p$

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Weil-étale cohomology over finite fields

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The $K$-theory of fields in characteristic $p$

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The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky

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Invariants of Fano varieties in families

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Application d'Abel-Jacobi p-adique et cycles algébriques. (p-adic Abel- Jacobi map and algebraic cycles)

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Lectures on K3 Surfaces

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Motives of isogenous $K3$ surfaces

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Complexe de de\thinspace Rham-Witt et cohomologie cristalline

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Q3324073

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Applications of weight-two motivic cohomology

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Bott elements in algebraic $K$-theory

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Équivalences rationnelle et numérique sur certaines variétés de type abélien sur un corps fini

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Unramified class field theory of arithmetical surfaces

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Some consequences of the Riemann hypothesis for varieties over finite fields

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First and second K-groups of an elliptic curve over a global field of positive characteristic

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The Weil-étale topology on schemes over finite fields

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Supersingular $K3$ surfaces are unirational

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The Tate conjecture for $K3$ surfaces in odd characteristic

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Q5485722

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A variational Tate conjecture in crystalline cohomology

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Q4953649

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On the cohomology and K-theory of the general linear groups over a finite field

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Q4189375

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On the cycle map for torsion algebraic cycles of codimension two

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An example of unirational surfaces in characteristic $p$

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Some results on unirationality of algebraic surfaces

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Groupes de Chow et K-théorie de variétés sur un corps fini

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Endomorphisms of Abelian varieties over finite fields

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Algebraic $K$-theory and etale cohomology

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Remarks on motives of abelian type

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Q5718762

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Identifiers

arXiv ID

2302.09867

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DOI

10.1016/j.jpaa.2023.107518

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6185293

Motivic cohomology and \(K\)-theory of some surfaces over finite fields (Q6185293)

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Identifiers

Sitelinks

Mathematics(1 entry)