Results 21 to 30 of about 1,412,567 (47)
Ideas of Newton-Okounkov bodies [PDF]
, 2015 In this snapshot, we will consider the problem of finding the number of solutions to a given system of polynomial equations. This question leads to the theory of Newton polytopes and Newton-Okounkov bodies of which we will give a basic ...
Kiritchenko, Valentina +2 more
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Newton–Okounkov bodies of exceptional curve valuations [PDF]
, 2020 We prove that the Newton–Okounkov body associated to the flag E∙:={X=Xr⊃Er⊃{q}}, defined by the surface X and the exceptional divisor Er given by any divisorial valuation of the complex projective plane P2, with respect to the pull-back of the line ...
Nickel, Matthias +5 more
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Khovanskii bases, Newton-Okounkov polytopes and tropical geometry
, 2017 I will talk about a recent work with Chris Manon giving a direct relation between the theory of Newton-Okounkov bodies (which is concerned with full rank valuations on a graded algebra) and tropical geometry (which is concerned with rank 1 valuations ...
Kaveh, Kiumars
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Newton--Okounkov bodies of curve classes
, 2022 The purpose of the paper is to initiate the development of the theory of Newton Okounkov bodies of curve classes. Our denition is based on making a fundamental property of NewtonOkounkov bodies hold also in the curve case: the volume of the ...
Devey, Lucie
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On toric degenerations of flag varieties
, 2017 Following the historical track in pursuing TT-equivariant flat toric degenerations of flag varieties and spherical varieties, we explain how powerful tools in algebraic geometry and representation theory, such as canonical bases, Newton–Okounkov bodies ...
Ghislain Fourier +5 more
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Reflexivity of Newton–Okounkov bodies of partial flag varieties
, 2022 Assume that the valuation semigroup Γ ( λ ) \Gamma (\lambda ) of an arbitrary partial flag variety corresponding to the line bundle L λ \mathcal {L_\lambda }
Steinert, Christian Pascal +1 more
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Toric degenerations and Newton-Okounkov bodies [PDF]
In recent times, a wide variety of combinatorics has been introduced in order to solve problems from algebraic geometry. Newton-Okounkov bodies and tropical geometry are two such combinatorial theories.
Proost, Cas
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Newton-Okounkov bodies and Picard numbers on surfaces [PDF]
We study the shapes of all Newton-Okounkov bodies ∆v(D) of a given big divisor D on a surface S with respect to all rank 2 valuations v of K(S). We obtain upper bounds for, and in many cases we determine exactly, the possible numbers of vertices of the ...
Nickel, Matthias +2 more
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Relative Mirror Symmetry and Ramifications of a Formula for Gromov-Witten Invariants [PDF]
, 2013 For a toric Del Pezzo surface S, a new instance of mirror symmetry, said relative, is introduced and developed. On the A-model, this relative mirror symmetry conjecture concerns genus 0 relative Gromov-Witten of maximal tangency of S.
van Garrel, Michel
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Local positivity in terms of Newton-Okounkov bodies
, 2021 Agraïments: The author greatly benefited from conversations with A. Küronya on the contents of this work.In recent years, the study of Newton-Okounkov bodies on normal varieties has become a central subject in the asymptotic theory of linear series ...
Roé i Vellvé, Joaquim
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