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user490795
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Does the hard Lefschetz theorem hold for hyperplane sections for singular subvarieties of smooth projective varieties?
@WillSawin We know that š‘‹ is smooth and š‘‹āˆ’š‘Œ is smooth is it possible to deduce $H^{n - k}(Y) \cong H^{n + k}(Y)$?
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Does the hard Lefschetz theorem hold for hyperplane sections for singular subvarieties of smooth projective varieties?
@WillSawin Just because the $Y$ comes from hyperplane section on $X$ so there is more control over the singularities.
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Does the hard Lefschetz theorem hold for hyperplane sections for singular subvarieties of smooth projective varieties?
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Does the hard Lefschetz theorem hold for hyperplane sections for singular subvarieties of smooth projective varieties?