Algebraic cycles on toric fibrations over abelian varieties

DOI10.1007/PL00004764zbMath0956.14004OpenAlexW2165431331MaRDI QIDQ1818942

Klaus Künnemann

Publication date: 27 January 2000

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004764

zbMATH Keywords

toric varietyfinite ground fieldChow groupGrothendieck conjectureHodge index theoremextension of an abelian varietyample invertible sheafcycle class mapTate conjecturesLefschetz operator

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Finite ground fields in algebraic geometry (14G15) Arithmetic ground fields for abelian varieties (14K15) Divisors, linear systems, invertible sheaves (14C20) Algebraic cycles (14C25)

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