no. 15-16
Géométrie algébrique/Géométrie analytique
Un théorème de Torelli infinitésimal à coefficients
[An infinitesimal Torelli theorem with twisted coefficients]
Presented by: Jean-Pierre Demailly
Mégy, Damien1
1 Institut Fourier, 100, rue des maths, BP 74, 38402 St Martin d'Hères cedex, France
Comptes Rendus. Mathématique, Volume 348 (2010) no. 15-16, pp. 911-913

On généralise un théorème de Torelli infinitésimal pour des hypersurfaces de haut degré de M. Green (1985) [1] dans le cas de coefficients tordus.

We generalize an infinitesimal Torelli theorem for hypersurfaces of high degree of M. Green (1985) [1], for twisted coefficients.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2010.07.013

Mégy, Damien 1

1 Institut Fourier, 100, rue des maths, BP 74, 38402 St Martin d'Hères cedex, France 
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Mégy, Damien. Un théorème de Torelli infinitésimal à coefficients. Comptes Rendus. Mathématique, Volume 348 (2010) no. 15-16, pp. 911-913. doi: 10.1016/j.crma.2010.07.013

[1] Green, M. The period map for hypersurface sections of high degre of an arbitrary variety, Compos. Math., Volume 55 (1985) no. 2, pp. 135-156

[2] Griffiths, P. Periods of integrals on algebraic manifolds, II. Local study of the period mapping, Amer. J. Math., Volume 90 (1968), pp. 805-865

[3] Griffiths, P. On the periods of certain rational integrals, I, Ann. of Math., Volume 90 (1969), pp. 460-495

[4] Simpson, C. Higgs bundles and local systems, Publ. Math. IHES, Volume 75 (1992), pp. 5-95

[5] Zucker, S. Hodge theory with degenerating coefficients: L2-cohomology in the Poincaré metric, Ann. of Math., Volume 109 (1979), pp. 415-476

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