A note on higher order Gauss Maps
(English)Manuscript (preprint) (Other academic)
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 = P^n 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.
Geometry Algebra and Logic Discrete Mathematics
Research subject Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-176641OAI: oai:DiVA.org:kth-176641DiVA: diva2:868119
FunderSwedish Research Council, NT:2010- 5563Swedish Research Council, NT:2014-4763
QS 20152015-11-092015-11-092015-12-14Bibliographically approved