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Counting points on hyperelliptic curves with explicit real multiplication in arbitrary genus |
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| Affiliation: | 1. Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 S Morgan St, 322 SEO, Chicago, 60607, IL, USA;2. Institute of Mathematics “Simion Stoilow” of the Romanian Academy, 21 Calea Grivitei St, Bucharest, 010702, Sector 1, Romania;3. Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA |
| Abstract: | |
| Keywords: | Hyperelliptic curves Real multiplication Local zeta function Multi-homogeneous polynomial systems Schoof–Pila’s algorithm |
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