A pencil of Enriques surfaces of index one with no section

2006/02/28 by Jason Michael Starr, Starr, Jason Michael
Mathematics · #14D06 #14G05 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14D06 #msc:14G05

paper · pdf · doi:10.48550/arxiv.math/0602639

5 pages, posting of older preprint

arxiv created 2006/02/28 · arxiv updated 2009/12/01

Abstract

Mondromy and deformation-and-specialization arguments are used to produce a pencil of Enriques surfaces with no section and index one. The same technique completes the proof that the witness curves in "Rational connectivity ..." depend on the relative dimension.

Related

• Rational connectivity and sections of families over curves
• Brill-Noether theory of curves on Enriques surfaces, II. The Clifford index
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• Singular rational curves on Enriques surfaces