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Classifying smooth lattice polytopes via toric fibrations
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-7186-1524
2009 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 222, no 1, p. 240-254Article in journal (Refereed) Published
Abstract [en]

We show that any smooth Q-normal lattice polytope P of dimension it and degree d is a strict Cayley polytope if n >= 2d + 1. This gives a sharp answer, for this class of polytopes, to a question raised by V.V. Batyrev and B. Nill.

Place, publisher, year, edition, pages
2009. Vol. 222, no 1, p. 240-254
Keywords [en]
Lattice polytope, Toric variety, Toric fibration, Cayley polytope, Nef, value, varieties, manifolds
Identifiers
URN: urn:nbn:se:kth:diva-18533DOI: 10.1016/j.aim.2009.04.002ISI: 000267180400008Scopus ID: 2-s2.0-67349279106OAI: oai:DiVA.org:kth-18533DiVA, id: diva2:336580
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2022-06-25Bibliographically approved

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Di Rocco, Sandra

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