Point counting on K3 surfaces and an application concerning real and complex multiplication

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Publication:2970996

DOI10.1112/S1461157016000176zbMATH Open1361.14026arXiv1602.04327OpenAlexW2962855966MaRDI QIDQ2970996

Author name not available (Why is that?)

Publication date: 4 April 2017

Published in: (Search for Journal in Brave)

Abstract: We report on our project to find explicit examples of K3 surfaces having real or complex multiplication. Our strategy is to search through the arithmetic consequences of RM and CM. In order to do this, an efficient method is needed for point counting on surfaces defined over finite fields. For this, we describe algorithms that are p-adic in nature.


Full work available at URL: https://arxiv.org/abs/1602.04327



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