Moscow Mathematical Journal

Volume 18, Issue 2, April–June 2018 pp. 305–319.

Invariants of Fano Varieties in Families

Authors: Frank Gounelas (1) and Ariyan Javanpeykar (2)
Author institution:(1) Humboldt Universität Berlin, Berlin, Germany
(2) Institut für Mathematik, Johannes Gutenberg-Universität Mainz, Staudingerweg 9, 55099 Mainz, Germany

Summary:

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.

2010 Math. Subj. Class. 14J45, (14K30, 14D23).

Keywords: Fano varieties, Picard number, index, crystalline cohomology, rational connectedness

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