-
parameterization exists, the
variety is said to be
unirational. Lüroth's
theorem (see below)
implies that
unirational curves are rational. Castelnuovo's theorem...
- Castelnuovo's
theorem also
implies that any
unirational complex surface is rational,
because if a
complex surface is
unirational then its
irregularity and plurigenera...
- In all of the
previous cases, the
moduli spaces can be
found to be
unirational,
meaning there exists a
dominant rational morphism P n → M g {\displaystyle...
-
degree 3 in 4-dimensional
projective space.
Cubic threefolds are all
unirational, but
Clemens &
Griffiths (1972) used
intermediate Jacobians to show that...
-
automorphism group is the
group PSL2(11) of
order 660 (Adler 1978). It is
unirational but not a
rational variety.
Gross &
Popescu (2001)
showed that it is...
-
surfaces are
unirational. They were
named by
Piotr Bl**** in 1977
after Oscar Zariski who used them in 1958 to give
examples of
unirational surfaces in...
- is nonempty, then X is at
least unirational over k, by
Beniamino Segre and János Kollár. For k infinite,
unirationality implies that the set of k-rational...
-
positive characteristic. In particular,
there are
uniruled (and even
unirational)
surfaces of
general type: an
example is the
surface xp+1 + yp+1 + zp+1...
-
positive characteristic is that a K3
surface may be
unirational.
Michael Artin observed that
every unirational K3
surface over an
algebraically closed field...
- non-singular
cubic threefolds are not rational, even
though they are
unirational.
Deligne cohomology Clemens, C. Herbert; Griffiths,
Phillip A. (1972)...
