Open Access
2009 A pencil of Enriques surfaces of index one with no section
Jason Starr
Algebra Number Theory 3(6): 637-652 (2009). DOI: 10.2140/ant.2009.3.637


Monodromy arguments and deformation-and-specialization are used to prove existence of a pencil of Enriques surfaces with no section and index 1. The same technique “completes” the strategy from Graber et al. (2005) proving that the family of witness curves for dimension d depends on the integer d.


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Jason Starr. "A pencil of Enriques surfaces of index one with no section." Algebra Number Theory 3 (6) 637 - 652, 2009.


Received: 25 September 2008; Revised: 13 July 2009; Accepted: 14 July 2009; Published: 2009
First available in Project Euclid: 20 December 2017

MathSciNet: MR2579389
zbMATH: 1190.14035
Digital Object Identifier: 10.2140/ant.2009.3.637

Primary: 14G05
Secondary: 14D06

Keywords: Enriques surface , rational point

Rights: Copyright © 2009 Mathematical Sciences Publishers

Vol.3 • No. 6 • 2009
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