Abstract
We classify Fano threefolds with only terminal singularities whose canonical class is Cartier and divisible by 2 with the additional assumption that the G-invariant part of the Weil divisor class group is of rank 1 with respect to an action of some group G. In particular, we find a lot of examples of Fano 3-folds with “many” symmetries.
Published Online: 2013-07-11
Published in Print: 2013-07
© 2013 by Walter de Gruyter GmbH & Co.
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Articles in the same Issue
- Masthead
- Index and nullity of a family of harmonic tori in the sphere
- G-Fano threefolds, I
- G-Fano threefolds, II
- A local-to-global result for topological spherical buildings
- Biaffine polar spaces
- Adjoint pluricanonical systems on varieties of general type
- Hypersurfaces of revolution with proportional principal curvatures
- On metrically complete Bruhat–Tits buildings
- Veroneseans, power subspaces and independence
- Baer involutions and polarities in Moufang planes of characteristic two
- The Chern invariants for parabolic bundles at multiple points
Articles in the same Issue
- Masthead
- Index and nullity of a family of harmonic tori in the sphere
- G-Fano threefolds, I
- G-Fano threefolds, II
- A local-to-global result for topological spherical buildings
- Biaffine polar spaces
- Adjoint pluricanonical systems on varieties of general type
- Hypersurfaces of revolution with proportional principal curvatures
- On metrically complete Bruhat–Tits buildings
- Veroneseans, power subspaces and independence
- Baer involutions and polarities in Moufang planes of characteristic two
- The Chern invariants for parabolic bundles at multiple points