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.
Accepté le :
Publié le :
Mihai Fulger 1 ; David Schmitz 2
@article{CRMATH_2016__354_5_522_0, author = {Mihai Fulger and David Schmitz}, title = {Newton{\textendash}Okounkov bodies and complexity functions}, journal = {Comptes Rendus. Math\'ematique}, pages = {522--525}, publisher = {Elsevier}, volume = {354}, number = {5}, year = {2016}, doi = {10.1016/j.crma.2016.02.004}, language = {en}, }
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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