Skip to main content
2 of 6
deleted 2 characters in body; edited title
Michael Albanese
  • 19.3k
  • 9
  • 87
  • 160

Two different complex manifolds with the same cohomology

Is there an obvious example of two different projective smooth complex varieties $X$ and $Y$ such that there exists an isomorphism $H^{\ast}(X,\mathbb{C})\rightarrow H^{\ast}(Y,\mathbb{C})$ of commutative graded algebras compatible with Hodge filtration?