Comptes Rendus
no. 1
Algebraic geometry
Generators of the cohomology algebra of the complement to a rational algebraic curve in the weighted projective plane Pω2

Presented by: Claire Voisin

Jorge Ortigas-Galindo1
1 Centro Universitario de la Defensa-IUMA, Academia General Militar, Ctra. de Huesca s/n., 50090 Zaragoza, Spain
Comptes Rendus. Mathématique, Volume 352 (2014) no. 1, pp. 65-70.

The main goal of this work is the study of the cohomology ring of Pω2∖R, being R a reduced algebraic curve in the complex weighted projective plane Pω2 whose irreducible components are all rational (possibly singular) curves. In particular, holomorphic (rational) representatives are found for the cohomology classes.

Le but principal de ce travail est lʼétude de lʼanneau de cohomologie de Pω2∖R, R étant une courbe algébrique réduite dans le plan projectif pondéré complexe Pω2, 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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2013.11.006

Jorge Ortigas-Galindo 1

1 Centro Universitario de la Defensa-IUMA, Academia General Militar, Ctra. de Huesca s/n., 50090 Zaragoza, Spain 
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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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