Definition of Birational. Meaning of Birational. Synonyms of Birational

- In mathematics, birational geometry is a field of algebraic geometry in which the goal is to determine when two algebraic varieties are isomorphic outside...
- 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;...
- In algebraic geometry, a birational invariant is a property that is preserved under birational equivalence. A birational invariant is a quantity or object...
- proved by Oscar Zariski (1943), is a statement about the structure of birational morphisms stating roughly that there is only one branch at any normal...
- minimal model program is part of the birational classification of algebraic varieties. Its goal is to construct a birational model of any complex projective...
- geometric genus p g {\displaystyle p_{g}} because one cannot distinguish birationally only the topological genus. Then, irregularity is introduced for the...
- at Tsinghua University. Birkar is an important contributor to modern birational geometry. In 2010 he received the Leverhulme Prize in mathematics and...
- prin****lly as the first to give a classification of algebraic surfaces in birational geometry, and other contributions in algebraic geometry. Enriques was...
- Harvard in 1960, Hironaka received his PhD for his thesis On the Theory of Birational Blowing-up. Hironaka was an ****ociate Professor of Mathematics at Brandeis...
- Equivalently, they are birationally equivalent if their function fields are isomorphic. An affine variety is a rational variety if it is birationally equivalent to...