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A note on higher or...
A note on higher order Gauss Maps
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- Lundman, Anders, 1985- (author)
- KTH,Matematik (Avd.),Algebra and Geometry
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- Di Rocco, Sandra (author)
- KTH,Matematik (Avd.),Algebra and Geometry
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- Jabbusch, Kelly (author)
- Department of mathematics & statistics, University of Michigan-Dearborn
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KTH Matematik (Avd) (creator_code:org_t)
- English.
- Related links:
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
- NATURVETENSKAP -- Matematik -- Diskret matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Discrete Mathematics (hsv//eng)
Keyword
- Mathematics
- Matematik
Publication and Content Type
- vet (subject category)
- ovr (subject category)
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