| 词汇 | birational |
| 释义 | BETA Examples of birationalbirational isn’t in the Cambridge Dictionary yet. You can help! Conjugating the map f may yield a birational map with a different degree sequence. It should be emphasized that the degree sequence associated with a rational map is not invariant under birational conjugacy. We have not studied what happens when one starts with a monomial map and conjugates it via a non-monomial birational map, obtaining (in general) a nonmonomial map. This is equivalent to saying that they are birational to the product of a curve and a projective line. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Blowups are the most fundamental transformation in birational geometry, because every birational morphism between projective varieties is a blowup. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The plurigenera are important birational invariants of an algebraic variety. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This morphism is birational for of dimension at most 2. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Up to birational equivalence, these are categorically equivalent to algebraic function fields. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The singularities of a curve are not birational invariants. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Every variety of general type is extremely rigid, in the sense that its birational automorphism group is finite. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. So the minimal model conjecture would give strong information about the birational classification of algebraic varieties. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In algebraic terms, two varieties over a field "k" are birational if and only if their function fields are isomorphic as extension fields of "k". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A morphism of varieties is birational if it restricts to an isomorphism between dense open subsets. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Among his main contributions to algebraic geometry are studies of birational invariants of algebraic varieties, singularities and algebraic surfaces. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Its goal is to construct a birational model of any complex projective variety which is as simple as possible. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Since its introduction it has proved to be quite useful in various branches of algebraic geometry, most notably birational geometry and singularity theory. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The weak factorization theorem says that every birational map can be factored as a composition of particularly simple blowups. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In particular, if "f" is birational, then the fibers of unibranch points are connected. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. |
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