In mathematics, a fake projective space is a complex algebraic variety that has the same Betti numbers as some projective space, but is not isomorphic to it. There are many examples of fake projective planes. Prasad & Yeung (2006) found four examples of fake projective 4-folds, and showed that no arithmetic examples exist in dimensions other than 2 and 4.

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  • In mathematics, a fake projective space is a complex algebraic variety that has the same Betti numbers as some projective space, but is not isomorphic to it. There are many examples of fake projective planes. Prasad & Yeung (2006) found four examples of fake projective 4-folds, and showed that no arithmetic examples exist in dimensions other than 2 and 4.
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  • Prasad
  • Yeung
  • 2006 (xsd:integer)
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  • In mathematics, a fake projective space is a complex algebraic variety that has the same Betti numbers as some projective space, but is not isomorphic to it. There are many examples of fake projective planes. Prasad & Yeung (2006) found four examples of fake projective 4-folds, and showed that no arithmetic examples exist in dimensions other than 2 and 4.
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  • Fake projective space
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