Paulsen, Matthias; Schreieder, Stefan (2019): The construction problem for Hodge numbers modulo an integer. In: Algebra & Number Theory, Vol. 13, No. 10: pp. 2427-2434 |

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### Abstract

For any integer m >= 2 and any dimension n >= 1, 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 Kollar in 2012.

Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics |

Subjects: | 500 Science > 510 Mathematics |

ISSN: | 1937-0652 |

Language: | English |

ID Code: | 82399 |

Deposited On: | 15. Dec 2021 15:01 |

Last Modified: | 15. Dec 2021 15:01 |

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