Frank Gounelas, Ariyan Javanpeykar, “Invariants of Fano varieties in families”, Mosc. Math. J., 2018, Volume 18, Number 2,Pages <nobr>305

This article is cited in 7 papers

Invariants of Fano varieties in families

Frank Gounelas^a, Ariyan Javanpeykar^b

^a Humboldt Universität Berlin, Berlin, Germany
^b Institut für Mathematik, Johannes Gutenberg-Universität Mainz, Staudingerweg 9, 55099 Mainz, Germany

Abstract: We show that the Picard number is constant in families of Fano varieties (in arbitrary characteristic) and we moreover investigate the constancy of the index.

Key words and phrases: Fano varieties, Picard number, index, crystalline cohomology, rational connectedness.

MSC: Primary 14J45; Secondary 14K30, 14D23

Language: English

DOI: 10.17323/1609-4514-2018-18-2-305-319