[Générateurs de lʼalgèbre de cohomologie du complémentaire dʼune courbe algebrique rationnelle dans le plan projectif pondéré ]
Le but principal de ce travail est lʼétude de lʼanneau de cohomologie de , étant une courbe algébrique réduite dans le plan projectif pondéré complexe , dont les composantes irréductibles sont des courbes rationnelles (avec ou sans points singuliers). En particulier, des représentants holomorphes (rationnels) sont obtenus pour les classes de cohomologie.
The main goal of this work is the study of the cohomology ring of , being a reduced algebraic curve in the complex weighted projective plane whose irreducible components are all rational (possibly singular) curves. In particular, holomorphic (rational) representatives are found for the cohomology classes.
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@article{CRMATH_2014__352_1_65_0,
author = {Jorge Ortigas-Galindo},
title = {Generators of the cohomology algebra of the complement to a rational algebraic curve in the weighted projective plane $ {\mathbb{P}}_{\omega }^{2}$},
journal = {Comptes Rendus. Math\'ematique},
pages = {65--70},
publisher = {Elsevier},
volume = {352},
number = {1},
year = {2014},
doi = {10.1016/j.crma.2013.11.006},
language = {en},
}
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AU - Jorge Ortigas-Galindo
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JO - Comptes Rendus. Mathématique
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SP - 65
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Jorge Ortigas-Galindo. Generators of the cohomology algebra of the complement to a rational algebraic curve in the weighted projective plane $ {\mathbb{P}}_{\omega }^{2}$. Comptes Rendus. Mathématique, Volume 352 (2014) no. 1, pp. 65-70. doi : 10.1016/j.crma.2013.11.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.11.006/
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