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A note on higher-order gauss maps
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-7186-1524
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2017 (English)In: The Michigan mathematical journal, ISSN 0026-2285, E-ISSN 1945-2365, Vol. 66, no 1, p. 21-35Article in journal (Refereed) Published
Abstract [en]

We study Gauss maps of order k, associated to a projective variety X embedded in projective space via a line bundle L. We show that if X is a smooth, complete complex variety and L is a k-jet spanned line bundle on X, with k ≥ 1, then the Gauss map of order k has finite fibers, unless X = Pn is embedded by the Veronese embedding of order k. In the case where X is a toric variety, we give a combinatorial description of the Gauss maps of order k, its image, and the general fibers.

Place, publisher, year, edition, pages
University of Michigan , 2017. Vol. 66, no 1, p. 21-35
National Category
Mathematics
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URN: urn:nbn:se:kth:diva-207438ISI: 000399854800002Scopus ID: 2-s2.0-85015345512OAI: oai:DiVA.org:kth-207438DiVA, id: diva2:1098205
Note

QC 20170523

Available from: 2017-05-23 Created: 2017-05-23 Last updated: 2017-05-24Bibliographically approved

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Di Rocco, SandraLundman, Anders

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