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Counting points on double octic Calabi–Yau threefolds over finite fields

Volume 125 / 2020

Aleksander Czarnecki Annales Polonici Mathematici 125 (2020), 215-227 MSC: Primary 14J32; Secondary 14G10. DOI: 10.4064/ap200210-30-8 Published online: 4 December 2020

Abstract

We present an algorithm for counting points on a double octic Calabi–Yau threefold associated to a configuration of eight planes over a finite field based on the existence of an elliptic curve fibration.

Authors

  • Aleksander CzarneckiInstitute of Mathematics
    Jagiellonian University
    Łojasiewicza 6
    30-348 Kraków, Poland
    e-mail

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