The construction problem for Hodge numbers modulo an integer

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

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
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1937-0652
• Language: English