Results 31 to 40 of about 1,412,567 (47)

Newton-Okounkov bodies on projective bundles over curves

open access: yes, 2017
27 pages. Comments are very welcome.In this article, we study Newton-Okounkov bodies on projective vector bundles over curves. Inspired by Wolfe's estimates used to compute the volume function on these varieties, we compute all Newton-Okounkov bodies ...
Montero, Pedro
core  

Newton–Okounkov Bodies over Discrete Valuation Rings and Linear Systems on Graphs

open access: yes, 2018
The theory of Newton–Okounkov bodies attaches a convex body to a line bundle on a variety equipped with a flag of subvarieties. This convex body encodes the asymptotic properties of sections of powers of the line bundle.
Katz E, Eric Katz, Stefano Urbinati
core   +1 more source

Functions on Newton-Okounkov bodies

open access: yes, 2017
Non UBCUnreviewedAuthor affiliation: Universitat Autonoma de ...
Roé, Joaquim
core   +1 more source

Okounkov bodies and giansiracusa-giansiracusa valuations [PDF]

open access: yes
Treballs finals del Màster en Matemàtica Avançada, Facultat de Matemàtiques, Universitat de Barcelona: Any: 2025. Director: Joaquim Roé VellvéOkounkov bodies are convex sets associated with divisors on algebraic varieties that allow for the study of ...
Garcés Paniagua, Daniel
core   +4 more sources

Maps to toric varieties and toric degenerations [PDF]

open access: yes
We study and construct maps to toric varieties. In the process, we generalize torus embeddings to the non-projective case. Moreover, we give an analog of Cox\u27s construction of toric varieties as GIT quotients of affine spaces for the non-normal case ...
Bossinger, Lara, Murata, Takuya
core   +1 more source

Arakelov geometry of toric bundles: Okounkov bodies and BKK

open access: yes
This article introduces the study of toric bundles and the morphisms between them from the perspective of adelic fibre bundles, as introduced by Chambert-Loir and Tschinkel.
Hultberg, Nuno
core   +1 more source

The integer cohomology of toric Weyl arrangements [PDF]

open access: yes
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we prove that if T(W) is the toric arrangement defined by the cocharacters lattice of a Weyl group W, then ...
Simona Settepanella
core  

Newton–Okounkov bodies and minimal models for cluster varieties [PDF]

open access: yesAdvances in Mathematics
Let $Y$ be a (partial) minimal model of a scheme $V$ with a cluster structure. Under natural assumptions, for every choice of seed we associate a Newton--Okounkov body to every divisor on $Y$ supported on $Y \setminus V$ and show that these Newton ...
Man-Wai Cheung   +2 more
exaly   +2 more sources

Newton–Okounkov bodies, cluster duality, and mirror symmetry for Grassmannians [PDF]

open access: yesDuke Mathematical Journal, 2019
In this article we use cluster structures and mirror symmetry to explicitly describe a natural class of Newton-Okounkov bodies for Grassmannians. We consider the Grassmannian X D Gr n-k.C n/, as well as the mirror dual Landau-Ginzburg model .X L ı; W W X
Rietsch, Konstanze, Williams, Lauren
exaly   +2 more sources

Infinitesimal Newton–Okounkov bodies and jet separation [PDF]

open access: yesDuke Mathematical Journal, 2017
In this article we explore the connection between asymptotic base loci and Newton-Okounkov bodies associated to infinitesimal flags. Analogously to the surface case, we obtain complete characterizations of augmented and restricted base loci ...
Alex Küronya
exaly   +2 more sources

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