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On some Fano–Enriques threefolds
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Ilya Karzhemanov
Veröffentlicht/Copyright:
7. Januar 2011
Abstract
We give a classification of Fano threefolds X with canonical Gorenstein singularities such that X possess a regular involution which acts freely on some smooth surface in |– KX|, and such that the linear system |– KX| gives a morphism which is not an embedding. From this classification one gets, in particular, a description of some natural class of Fano–Enriques threefolds.
Received: 2008-11-25
Revised: 2009-07-24
Published Online: 2011-01-07
Published in Print: 2011-January
© de Gruyter 2011
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Artikel in diesem Heft
- Spherical projections and liftings in geometric tomography
- Tropical enumerative invariants of 𝔽0 and 𝔽2
- A cocycle on the group of symplectic diffeomorphisms
- Manifolds with large isotropy groups
- Orthogonality of subspaces in metric-projective geometry
- On some Fano–Enriques threefolds
- Contact deformations of closed 1-forms on -bundles over
- Characteristic forms of complex Cartan geometries
- Quaternionic Hermitian spinor systems and compatibility conditions
Artikel in diesem Heft
- Spherical projections and liftings in geometric tomography
- Tropical enumerative invariants of 𝔽0 and 𝔽2
- A cocycle on the group of symplectic diffeomorphisms
- Manifolds with large isotropy groups
- Orthogonality of subspaces in metric-projective geometry
- On some Fano–Enriques threefolds
- Contact deformations of closed 1-forms on -bundles over
- Characteristic forms of complex Cartan geometries
- Quaternionic Hermitian spinor systems and compatibility conditions
