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Paper detail

The construction problem for Hodge numbers modulo an integer

For any positive integer m and any dimension n, we show that any n-dimensional Hodge diamond with values in Z/mZ is attained by the Hodge numbers of an n-dimensional smooth complex projective variety. As a corollary, there are no polynomial relations among the Hodge numbers of n-dimensional smooth complex projective varieties besides the ones induced by the Hodge symmetries, which answers a question raised by Kollár in 2012.

preprint2019arXivOpen access
Matthias PaulsenStefan Schreieder
math.CVmath.GTmath.AG
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Matthias PaulsenStefan Schreieder

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