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Author: Nikolay Konovalov

Looking for a better counterexample

This post is doubling my old question asked on Mathoverflow.

Let \(X\) be a smooth projective complex variety of dimension \(d\), and let \(Y\subset X\) be an ample irreducible divisor. Recall that a cohomology class \(b\in H^k(X,\mathbf{Q})\) is called \(Y\)-primitive, if \(b\smile c_1(Y)^{d-k+1} =0\). Here, \(c_1(Y)\in H^{2}(X,\mathbf{Q})\) is the first Chern class of the line bundle associated to \(Y\). …

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Posted by Nikolay KonovalovApril 7, 2021Posted in algebraic geometry, algebraic topology3 Comments on Looking for a better counterexample