Examples of 'birational' in a sentence
Meaning of "birational"
birational (adjective) - In mathematics, birational refers to a relation between two algebraic varieties where there exists a rational map from one to the other, and vice versa, excluding a few exceptional cases
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- Describing a rational geometric function that has a rational inverse
How to use "birational" in a sentence
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birational
Birkar is an important contributor to modern birational geometry.
One useful set of birational invariants are the plurigenera.
They are an important tool in modern birational geometry.
Birational geometry of surfaces.
This is the subject of birational geometry.
We characterize birational tranformations that correspond to adjacent domains of the fundamental domain.
He also determined all finite groups of birational transformations of the plane.
The last application concerns the computation of the inverse of a birational map.
Birkar is also active in the field of birational geometry over fields of positive characteristic.
Is birational, the definition is extended by birational invariance.
Algebraic varieties differ widely in how many birational automorphisms they have.
In algebraic geometry, a birational invariant is a property that is preserved under birational equivalence.
He works in the field of Birational Geometry.
Throughout his career, birational geometry has stood out as his main area of interest.
Given that, it is enough to classify smooth projective varieties up to birational equivalence.
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Then I study the cases where there is a birational model where these automorphisms are regular.
For an algebraic variety we construct a triangulated category which depends only on it 's birational class.
He worked initially in the area of birational geometry and Mori theory.
Abstract, The birational classification of algebraic varieties is a central problem in algebraic geometry.
Big line bundles need not determine birational isomorphisms of X with its image.
In this case one obtains a so-called rational map, see also birational geometry.
In order to prove this, some birational invariants of algebraic varieties are needed.
Even today, no explicit generators are known for the group of birational automorphisms of P3.
Every algebraic variety is birational to a projective variety Chow 's lemma.
If there is a rational correspondence φ between C and C ′, then φ is a birational transformation.
The Cremona group is the group of birational automorphisms of projective n-space.
Steiner surface A surface in P4 with singularities which is birational to the projective plane.
The Cremona group, the group of birational automorphisms of the plane, is generated by blowups.
Snyder did research on configurations of ruled surfaces and Cremona and birational transformations . [ 4 ].
Rational surface means surface birational to the complex projective plane P2.
We define certain birational modifications of such nodal ( relative ) curves, which we call refinements.
Abstract, The plane Cremona group is the group of birational transformations of the projective plane.
They are birational invariants, i.e., invariant under blowing up.
The fundamental group π1 ( X ) is a birational invariant for smooth complex projective varieties.
A special case is a birational morphism f, X → Y, meaning a morphism which is birational.
That is, since the mapping C ′ → C is birational, the definition is extended by birational invariance.
The following theorem shows the birational equivalence between Montgomery curves and twisted Edwards curve: [2].
