Hodge numbers of a hypothetical complex structure on the six sphere

Ugarte, Luis (Universidad de Zaragoza)

Resumen: We prove that the terms E_r^p,q(S^6) in the Frölicher spectral sequence associated to any hypothetical complex structure on S^6 would satisfy Serre duality. It is also shown that the vanishing of the Dolbeault cohomology group H1,1(S6) ensures the existence of a holomorphic 2-form on S6 living even in E_2^2,0(S^6), which in particular implies the nondegeneration of Frölicher's sequence at the second level.

Idioma: Inglés

DOI: 10.1023/A:1005236308351

Año: 2000

Publicado en: GEOMETRIAE DEDICATA 81 (2000), 173-179
ISSN: 0046-5755

Factor impacto JCR: 0.268 (2000)

Categ. JCR: MATHEMATICS rank: 115 / 156 = 0.737 (2000) - Q3 - T3

Tipo y forma: Article (Published version)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)