ON THE PICARD NUMBER OF ALMOST FANO THREEFOLDS WITH PSEUDO-INDEX

ON THE PICARD NUMBER OF ALMOST FANO THREEFOLDS WITH PSEUDO-INDEX > 1

Published:2008-02 Issue:02 Volume:19 Page:173-191
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

CASAGRANDE CINZIA¹,JAHNKE PRISKA²,RADLOFF IVO²

Affiliation:

1. Università di Pisa, Dipartimento di Matematica, Largo B. Pontecorvo, 5, I-56127 Pisa, Italy

2. Mathematisches Institut, Universität Bayreuth, D-95440 Bayreuth, Germany

Abstract

We study Gorenstein almost Fano threefolds X with canonical singularities and pseudoindex > 1. We show that the maximal Picard number of X is 10 in general, 3 if X is Fano, and 8 if X is toric. Moreover, we characterize the boundary cases. In the Fano case, we prove that the generalized Mukai conjecture holds.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X08004625

Reference26 articles.

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