Results 11 to 20 of about 1,412,567 (47)

Newton-Okounkov polytopes of Schubert varieties arising from cluster structures [PDF]

open access: yes, 2023
The theory of Newton-Okounkov bodies is a generalization of that of Newton polytopes for toric varieties, and it gives a systematic method of constructing toric degenerations of projective varieties.
Oya, Hironori, Fujita, Naoki
core   +1 more source

On Higher Syzygies of Projective Toric Varieties [PDF]

open access: yes, 2006
Let A be an ample line bundle on a projective toric variety X of dimension n (≥ 2). It is known that the d-th tensor power A⊗d embedds X as a projectively normal variety in Pr := P(H0(X,L⊗d)) if d ≥ n − 1.
Shoetsu Ogata, Ogata, Shoetsu
core   +1 more source

On Newton-Okounkov bodies, linear series and positivity [PDF]

open access: yes, 2018
This thesis consists of four independent articles all connected to the theory of Newton-Okounkov bodies. It contains result about toric degenerations of Del Pezzo surfaces/Bott-Samelson varieties as well as an extension of the theory of Newton-Okounkov ...
Merz, Georg
core   +1 more source

On the additivity of Newton-Okounkov bodies [PDF]

open access: yes, 2022
We study the additivity of Newton-Okounkov bodies. Our main result states that on two dimensional subcones of the ample cone the Newton-Okounkov body associated to an appropriate flag acts additively.
Wilms, Robert
core   +1 more source

Okounkov Bodies and Applications [PDF]

open access: yes, 2014
The theory of Newton–Okounkov bodies, also called Okounkov bodies, is a relatively new connection between algebraic geometry and convex geometry. It generalizes the well-known and extremely rich correspondence between geometry of toric varieties and ...

core   +1 more source

Newton-Okounkov Bodies of Bott-Samelson & Peterson Varieties [PDF]

open access: yes, 2016
The theory of Newton-Okounkov bodies can be viewed as a generalization of the theory of toric varieties; it associates a convex body to an arbitrary variety (equipped with auxiliary data).
DeDieu, Lauren
core   +1 more source

Positivity of Line Bundles and Newton-Okounkov Bodies

open access: yes, 2017
The purpose of this paper is to describe asymptotic base loci of line bundles on projective varieties in terms of Newton-Okounkov bodies.
Kuronya, A, Lozovanu, V
core   +3 more sources

Mini-Workshop: New Developments in Newton-Okounov Bodies [PDF]

open access: yes, 2011
The theory of Newton-Okounkov bodies, also called Okounkov bodies, is a new connection between algebraic geometry and convex geometry. It generalizes the well-known and extremely rich correspondence between geometry of toric varieties and combinatorics ...

core   +2 more sources

Kähler packings and Newton-Okounkov bodies

open access: yes, 2017
Adapting the concept of symplectic packings to the Kähler setting we introduce Kähler packings and show how on complex surfaces, their properties are related to (multi-point) Seshadri constants.
Eckl, Thomas
core   +1 more source

Newton-Okounkov bodies over discrete valuation rings

open access: yes, 2017
In this talk I will present some surprising relations between Baker-Norine theory of linear systems on graphs and Newton-Okounkov bodies over discrete valuation rings. This can be thought as a step further connecting Tropical Geometry and Newton-Okounkov
Urbinati, Stefano
core   +1 more source

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