Cohomological characterizations of the complex projective space

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arxiv 1512.04321 v1 pith:LE67DVIU submitted 2015-12-14 math.AG

Olivier Debarre This is my paper · ORCID

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keywords complexprojectivespacecharacterizationscharacterizedcohomologicalcohomologycompact

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In this survey, we discuss whether the complex projective space can be characterized by its integral cohomology ring among compact complex manifolds.

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math.AG 2025-06 conditional novelty 6.0 of 10

In dimension six, an isotropic class with extremal intersection numbers forces the Beauville form to be even and the Riemann-Roch polynomial to be one of a short list of explicit polynomials.