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Algebraic geometry and Rational mapping

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Algebraic geometry and Rational mapping

Algebraic geometry vs. Rational mapping

Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. In mathematics, in particular the subfield of algebraic geometry, a rational map is a kind of partial function between algebraic varieties.

Similarities between Algebraic geometry and Rational mapping

Algebraic geometry and Rational mapping have 9 things in common (in Unionpedia): Algebraic Geometry (book), Algebraic variety, Birational geometry, Equivalence of categories, Field of fractions, Function field of an algebraic variety, Mathematics, Morphism of algebraic varieties, Springer Science+Business Media.

Algebraic Geometry (book)

Algebraic Geometry is an influential, algebraic geometry textbook written by Robin Hartshorne and published by Springer-Verlag in 1977.

Algebraic Geometry (book) and Algebraic geometry · Algebraic Geometry (book) and Rational mapping · See more »

Algebraic variety

Algebraic varieties are the central objects of study in algebraic geometry.

Algebraic geometry and Algebraic variety · Algebraic variety and Rational mapping · See more »

Birational geometry

In mathematics, birational geometry is a field of algebraic geometry the goal of which is to determine when two algebraic varieties are isomorphic outside lower-dimensional subsets.

Algebraic geometry and Birational geometry · Birational geometry and Rational mapping · See more »

Equivalence of categories

In category theory, an abstract branch of mathematics, an equivalence of categories is a relation between two categories that establishes that these categories are "essentially the same".

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Field of fractions

In abstract algebra, the field of fractions of an integral domain is the smallest field in which it can be embedded.

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Function field of an algebraic variety

In algebraic geometry, the function field of an algebraic variety V consists of objects which are interpreted as rational functions on V. In classical algebraic geometry they are ratios of polynomials; in complex algebraic geometry these are meromorphic functions and their higher-dimensional analogues; in modern algebraic geometry they are elements of some quotient ring's field of fractions.

Algebraic geometry and Function field of an algebraic variety · Function field of an algebraic variety and Rational mapping · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Morphism of algebraic varieties

In algebraic geometry, a morphism between algebraic varieties is a function between the varieties that is given locally by polynomials.

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Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

Algebraic geometry and Springer Science+Business Media · Rational mapping and Springer Science+Business Media · See more »

The list above answers the following questions

Algebraic geometry and Rational mapping Comparison

Algebraic geometry has 236 relations, while Rational mapping has 19. As they have in common 9, the Jaccard index is 3.53% = 9 / (236 + 19).

References

This article shows the relationship between Algebraic geometry and Rational mapping. To access each article from which the information was extracted, please visit:

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