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A pencil of Enriques surfaces of index one with no section

Jason Michael Starr
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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.

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Jason Michael Starr. 2006-02-28. A pencil of Enriques surfaces of index one with no section. https://arxiv.org/abs/math/0602639

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