BETA
Examples ofbirational
Dictionary> Examples ofbirational
birationalisn’t in the Cambridge Dictionary yet. You can help!
Add a definition
Conjugating the map f may yield abirationalmap with a different degree sequence.
From theCambridge English Corpus
It should be emphasized that the degree sequence associated with a rational map is not invariant underbirationalconjugacy.
From theCambridge English Corpus
We have not studied what happens when one starts with a monomial map and conjugates it via a non-monomialbirationalmap, obtaining (in general) a nonmonomial map.
From theCambridge English Corpus
This is equivalent to saying that they arebirationalto the product of a curve and a projective line.
From
This example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Blowups are the most fundamental transformation inbirationalgeometry, because everybirationalmorphism between projective varieties is a blowup.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.The plurigenera are importantbirationalinvariants of an algebraic variety.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.This morphism isbirationalfor of dimension at most 2.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Up tobirationalequivalence, these are categorically equivalent to algebraic function fields.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.The singularities of a curve are notbirationalinvariants.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
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 itsbirationalautomorphism group is finite.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
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 thebirationalclassification of algebraic varieties.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
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" arebirationalif and only if their function fields are isomorphic as extension fields of "k".
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.A morphism of varieties isbirationalif it restricts to an isomorphism between dense open subsets.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
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 ofbirationalinvariants of algebraic varieties, singularities and algebraic surfaces.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Its goal is to construct abirationalmodel of any complex projective variety which is as simple as possible.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
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 notablybirationalgeometry and singularity theory.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.The weak factorization theorem says that everybirationalmap can be factored as a composition of particularly simple blowups.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.In particular, if "f" isbirational, then the fibers of unibranch points are connected.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
- wildlife biologist
- wildlife corridor
- wildlife corridor
- wildlife corridor
- wildlife-corridor
- wildlife documentary
- wildlife documentary
- wildlife habitat
- wildlife habitat
- wildlife management
- wildlife management
- wildlife official
- wildlife official
- wildlife photographer
- wildlife photographer
- wildlife photography
- wildlife photography
- wildlife population
- wildlife population
- wildlife refuge
- wildlife reserve
- wildlife reserve
- wildlife resource
- wildlife sanctuary
- wildlife viewing