Counting points on double octic Calabi–Yau threefolds over finite fields
Volume 125 / 2020
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.