- of X, Y by
definition gives a
birational map f : X ⇢ Y. In this case, X and Y are said to be
birational, or
birationally equivalent. In
algebraic terms...
- In
algebraic geometry, a
birational invariant is a
property that is
preserved under birational equivalence. A
birational invariant is a
quantity or object...
-
geometric genus p g {\displaystyle p_{g}}
because one
cannot distinguish birationally only the
topological genus. Then,
irregularity is
introduced for the...
- over F (up to
birational equivalence) and
algebraic function fields in one
variable over F
holds in general. Two
curves can be
birationally equivalent (i...
- contracted. Then, the
birational map is
given by normalization. Two
varieties are said to be
birationally equivalent if
there exists a
birational map
between them;...
-
minimal model program is part of the
birational classification of
algebraic varieties. Its goal is to
construct a
birational model of any
complex projective...
-
nodes Labyrinth, a
unicursal maze
Unicursal curve, a
curve which is
birationally equivalent to a line
Unicursal hexagram, a star
polygon This disambiguation...
- Equivalently, they are
birationally equivalent if
their function fields are isomorphic. An
affine variety is a
rational variety if it is
birationally equivalent to...
- of A2(2) is
birationally equivalent to the
Segre cubic which is in fact rational. Similarly, a
compactification of A2(3) is
birationally equivalent to...
- {\displaystyle E/\mathbb {F} _{q}} is
known as edwards25519, and is
birationally equivalent to the
Montgomery curve known as Curve25519. The equivalence...
