The construction problem for Hodge numbers modulo an integer

Paulsen, Matthias und Schreieder, Stefan (2019): The construction problem for Hodge numbers modulo an integer. In: Algebra & Number Theory, Bd. 13, Nr. 10: S. 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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1937-0652
• Sprache: Englisch