Definition of Birationally. Meaning of Birationally. Synonyms of Birationally

- 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...
- 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;...
- 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...
- nodes Labyrinth, a unicursal maze Unicursal curve, a curve which is birationally equivalent to a line Unicursal hexagram, a star polygon This disambiguation...
- minimal model program is part of the birational classification of algebraic varieties. Its goal is to construct a birational model of any complex projective...
- proving that any algebraic variety can be replaced by (more precisely is birationally equivalent to) a similar variety that has no singularities. Hironaka...
- Equivalently, they are birationally equivalent if their function fields are isomorphic. An affine variety is a rational variety if it is birationally equivalent to...
- Blowups are the most fundamental transformation in birational geometry, because every birational morphism between projective varieties is a blowup. The...