La conjecture de Weil pour les surfaces K3
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Publication:2546926
DOI10.1007/BF01404126zbMath0219.14022OpenAlexW1965194780WikidataQ123017528 ScholiaQ123017528MaRDI QIDQ2546926
Publication date: 1972
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142129
Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Arithmetic ground fields for abelian varieties (14K15) (p)-adic cohomology, crystalline cohomology (14F30) Global ground fields in algebraic geometry (14G25) Special surfaces (14J25)
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Cites Work
