Quintic surfaces with maximum and other Picard numbers

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概要

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• This paper investigates the Picard numbers of quintic surfaces. We give the first example of a complex quintic surface in P3 with maximum Picard number ρ = 45. We also investigate its arithmetic and determine the zeta function. Similar techniques are applied to produce quintic surfaces with several other Picard numbers that have not been achieved before.

著者

• Schütt Matthias

  Institut für Algebraische Geometrie, Leibniz Universität Hannover

関連論文

• Quintic surfaces with maximum and other Picard numbers

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