51 research outputs found
Self-dual projective toric varieties
Let T be a torus over an algebraically closed field k of characteristic 0,
and consider a projective T-module P(V). We determine when a projective toric
subvariety X of P(V) is self-dual, in terms of the configuration of weights of
V.Comment: 26 pages, 1 figure. Minor change
On the orbits of plane automorphisms and their stabilizers
Let be a perfect field with algebraic closure . If
is a subgroup of plane automorphisms over and
is a point, we describe the subgroup consisting of
plane automorphisms which stabilize the orbit of under , when this orbit
has irreducible closure in . As an application, we treat
the case where is cyclic and the closure of the orbit of is an
arbitrary (non-necessarily irreducible) curve.Comment: 14 page
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