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- Newton–Okounkov_body abstract "In algebraic geometry, a Newton–Okounkov body, also called an Okounkov body, is a convex body in Euclidean space associated to a divisor (or more generally a linear system) on a variety. The convex geometry of a Newton–Okounkov body encodes (asymptotic) information about the geometry of the variety and the divisor. It is a far generalization of the notion of the Newton polytope of a projective toric variety.It was introduced (in passing) by Andrei Okounkov in his influential papers in the late 1990s and early '00s. Okounkov’s construction relies on an earlier result of Askold Khovanskii on semigroups of lattice points. Later Okounkov’s construction was generalized and systematically developed in the papers of Lazarsfeld and Mustata as well as Kaveh and Khovanskii.Beside Newton polytopes of toric varieties, several polytopes appearing in representation theory (such as Gelfand–Zetlin polytopes and string polytopes of Littelmann and Berenstein–Zelevinsky) can be realized as special cases of Newton–Okounkov bodies.".
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- Newton–Okounkov_body wikiPageID "45334947".
- Newton–Okounkov_body wikiPageLength "2960".
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- Newton–Okounkov_body wikiPageRevisionID "650917653".
- Newton–Okounkov_body wikiPageWikiLink Algebraic_geometry.
- Newton–Okounkov_body wikiPageWikiLink Algebraic_variety.
- Newton–Okounkov_body wikiPageWikiLink Andrei_Okounkov.
- Newton–Okounkov_body wikiPageWikiLink Askold_Khovanskii.
- Newton–Okounkov_body wikiPageWikiLink Birkhauser.
- Newton–Okounkov_body wikiPageWikiLink Birkhäuser.
- Newton–Okounkov_body wikiPageWikiLink Category:Algebraic_geometry.
- Newton–Okounkov_body wikiPageWikiLink Convex_body.
- Newton–Okounkov_body wikiPageWikiLink Divisor_(algebraic_geometry).
- Newton–Okounkov_body wikiPageWikiLink Euclidean_space.
- Newton–Okounkov_body wikiPageWikiLink Gelfand–Zetlin_polytope.
- Newton–Okounkov_body wikiPageWikiLink Newton_polygon.
- Newton–Okounkov_body wikiPageWikiLink Newton_polytope.
- Newton–Okounkov_body wikiPageWikiLink Robert_Lazarsfeld.
- Newton–Okounkov_body wikiPageWikiLink Toric_variety.
- Newton–Okounkov_body wikiPageWikiLinkText "Newton–Okounkov body".
- Newton–Okounkov_body hasPhotoCollection Newton–Okounkov_body.
- Newton–Okounkov_body wikiPageUsesTemplate Template:Citation.
- Newton–Okounkov_body subject Category:Algebraic_geometry.
- Newton–Okounkov_body comment "In algebraic geometry, a Newton–Okounkov body, also called an Okounkov body, is a convex body in Euclidean space associated to a divisor (or more generally a linear system) on a variety. The convex geometry of a Newton–Okounkov body encodes (asymptotic) information about the geometry of the variety and the divisor.".
- Newton–Okounkov_body label "Newton–Okounkov body".
- Newton–Okounkov_body sameAs m.012stmxy.
- Newton–Okounkov_body wasDerivedFrom Newton–Okounkov_body?oldid=650917653.
- Newton–Okounkov_body isPrimaryTopicOf Newton–Okounkov_body.