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800 conics on a smooth quartic surface
Affiliation:1. Department of Mathematics, Swansea University, Swansea University Bay Campus, Fabian Way, Swansea SA1 8EN, UK;2. Faculty of Mathematics, University of Bia?ystok, K. Cio?kowskiego 1M, 15-245 Bia?ystok, Poland;3. Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, UK;4. Département de Mathématique, Université Libre de Bruxelles, Bd du Triomphe, B-1050 Brussels, Belgium;1. Department of Mathematics and Computer Science, Eindhoven University of Technology, De Groene Loper 5, 5612 AZ, Eindhoven, Netherlands;2. Fakultät für Mathematik, Universität Wien, Oskar-Morgenstern-Platz 1, A-1090, Wien, Austria;1. School of Mathematical Sciences & Academy for Multidisciplinary Studies, Capital Normal University, 100048 Beijing, China;2. School of Mathematical Sciences, Capital Normal University, 100048 Beijing, China;3. Department of Mathematics, Uppsala University, Box 480, 75106 Uppsala, Sweden
Abstract:We construct an example of a smooth spatial quartic surface that contains 800 irreducible conics.
Keywords:Quartic surface  Conic  Leech lattice
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