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On Smooth Lattice Polytopes with Small Degree.
- Source :
- Communications in Algebra; 2016, Vol. 44 Issue 2, p500-514, 15p
- Publication Year :
- 2016
-
Abstract
- Toric geometry provides a bridge between the theory of polytopes and algebraic geometry: one can associate to each lattice polytope a polarized toric variety. In this article, we explore this correspondence to classify smooth lattice polytopes having small degree, extending a classification provided by Dickenstein, Di Rocco, and Piene. We follow their approach of interpreting the degree of a polytope as a geometric invariant of the corresponding polarized variety, and then apply techniques from Adjunction Theory and Mori Theory. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 44
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 112358787
- Full Text :
- https://doi.org/10.1080/00927872.2014.980893