Robert Garbary, Pure Mathematics University of Waterloo
“Rational Maps”
I
am
going
to
establish
some
results
concerning
rational
maps
into
abelian
varieties.
In
no
particular
order,
these
are
the
following
results:
1)
Any
rational
map
from
a
smooth
variety
to
an
abelian
variety
is
in
fact
a
morphism
2)
Any
rational
map
from
An
or
Pn
to
an
abelian
variety
is
constant
3)
Birationally
equivalent
abelian
varieties
are
isomorphic
(as
abelian
varieties).