A family of cohomological complex projective spaces

Fuente: arXiv
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Main Author: Kalafat, Mustafa
Format: Preprint
Published: 2018
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_version_ 1866910593468858368
author Kalafat, Mustafa
author_facet Kalafat, Mustafa
contents We exhibit a family of complex manifolds, which has a member at each odd complex dimension and which has the same cohomology groups as the complex projective space at that dimension, but not homotopy equivalent to it. We also analyze the even dimensional analogue.
format Preprint
id arxiv_https___arxiv_org_abs_1810_09029
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle A family of cohomological complex projective spaces
Kalafat, Mustafa
Algebraic Geometry
Algebraic Topology
14M15, 57R22, 55T10, 57R20
We exhibit a family of complex manifolds, which has a member at each odd complex dimension and which has the same cohomology groups as the complex projective space at that dimension, but not homotopy equivalent to it. We also analyze the even dimensional analogue.
title A family of cohomological complex projective spaces
topic Algebraic Geometry
Algebraic Topology
14M15, 57R22, 55T10, 57R20
url https://arxiv.org/abs/1810.09029