Open Access
October, 2011 Quintic surfaces with maximum and other Picard numbers
Matthias SCHÜTT
J. Math. Soc. Japan 63(4): 1187-1201 (October, 2011). DOI: 10.2969/jmsj/06341187


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.


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Matthias SCHÜTT. "Quintic surfaces with maximum and other Picard numbers." J. Math. Soc. Japan 63 (4) 1187 - 1201, October, 2011.


Published: October, 2011
First available in Project Euclid: 27 October 2011

zbMATH: 1232.14022
MathSciNet: MR2855811
Digital Object Identifier: 10.2969/jmsj/06341187

Primary: 14J29
Secondary: 11G40 , 14G10 , 14J50

Keywords: automorphism , Delsarte surface , Picard number , zeta function

Rights: Copyright © 2011 Mathematical Society of Japan

Vol.63 • No. 4 • October, 2011
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