Newton-Okounkov bodies sprouting on the valuative tree

DOI10.1007/s12215-016-0285-3zbMath1386.14035arXiv1602.02074OpenAlexW2269580906MaRDI QIDQ1676546

Alex Küronya, Joaquim Roé, Victor Lozovanu, Ciro Ciliberto, Michał Farnik, Constantin A. Shramov

Publication date: 9 November 2017

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02074

zbMATH Keywords

linear systemvaluationalgebraic geometryNewton-Okounkov bodyvaluative tree

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Divisors, linear systems, invertible sheaves (14C20) Projective techniques in algebraic geometry (14N05)

Related Items (9)

Concave transforms of filtrations and rationality of Seshadri constants ⋮ A review of geometrically defined functions on Newton-Okounkov bodies ⋮ Minimal plane valuations ⋮ Asymptotic base loci via Okounkov bodies ⋮ Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces ⋮ Non-positive and negative at infinity divisorial valuations of Hirzebruch surfaces ⋮ Newton-Okounkov bodies of exceptional curve valuations ⋮ Discrete equivalence of non-positive at infinity plane valuations ⋮ Newton–Okounkov bodies: an approach of function field arithmetic

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