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arXiv:1911.09457 [math.AG]AbstractReferencesReviewsResources

Secant varieties of non-expected dimension on algebraic curves

Mara Ungureanu

Published 2019-11-21Version 1

The aim of this paper is to exhibit some surprising examples of secant varieties on a general curve that are empty despite their expected dimension being non-negative. We do so by reformulating the problem in terms of refined de Jonqui\`eres divisors, that is divisors with prescribed multiplicities and dimensions on the curve. Our examples occur via the study of the dimension theory of refined de Jonqui\`eres divisors in some relevant cases and degeneration arguments.

Comments: 17 pages. Comments welcome
Categories: math.AG
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