Comptes Rendus
no. 5
Algebraic geometry
Newton–Okounkov bodies and complexity functions
[Corps de Newton–Okounkov et fonctions de complexité]

Présenté par : Claire Voisin

Mihai Fulger1 ; David Schmitz2
1 Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-014700, Bucharest, Romania
2 Department of Mathematics, Stony Brook University, Stony Brook, NY 11794, United States
Comptes Rendus. Mathématique, Volume 354 (2016) no. 5, pp. 522-525.

Nous montrons que, pratiquement universellement, une condition de régularité de la cohomologie d'un diviseur grand sur une variété projective ne signifie pas que le corps de Newton–Okounkov correspondant est polyédrique.

We show that quite universally the holonomicity of the complexity function of a divisor does not predict whether the Newton–Okounkov body is polyhedral for every choice of a flag.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.02.004
Mihai Fulger 1 ; David Schmitz 2

1 Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-014700, Bucharest, Romania
2 Department of Mathematics, Stony Brook University, Stony Brook, NY 11794, United States 
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Mihai Fulger; David Schmitz. Newton–Okounkov bodies and complexity functions. Comptes Rendus. Mathématique, Volume 354 (2016) no. 5, pp. 522-525. doi : 10.1016/j.crma.2016.02.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.02.004/

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