1,409 research outputs found
Hyperelliptic and trigonal Fano threefolds
We classify Fano 3-folds with canonical Gorenstein singularities whose
anticanonical linear system has no base points but does not give an embedding,
and we classify anticanonically embedded Fano 3-folds with canonical Gorenstein
singularities which are not intersections of quadrics. We also study the
rationality questions for most of these varieties.Comment: 57 pages. Final version; more detailed version is the previous on
On automorphisms of quasi-smooth weighted complete intersections
We show that every reductive subgroup of the automorphism group of a
quasi-smooth well formed weighted complete intersection is a restriction of a
subgroup in the automorphism group in the ambient weighted projective space.
Also, we provide examples demonstrating that an automorphism group of a
quasi-smooth well formed Fano weighted complete intersection may be infinite
and even non-reductive.Comment: Appendix moved to arXiv:2010.14447; 15 page
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