Mathematics – Algebraic Geometry
Scientific paper
2010-12-22
Mathematics
Algebraic Geometry
36 pages, LaTeX2e
Scientific paper
We classify Fano threefolds with only terminal singularities whose canonical
class is Cartier and divisible by 2, and satisfying an 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.
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