What does morphism of algebraic varieties mean?
Definitions for morphism of algebraic varieties
mor·phism of al·ge·bra·ic va·ri·eties
This dictionary definitions page includes all the possible meanings, example usage and translations of the word morphism of algebraic varieties.
Wikipedia
Morphism of algebraic varieties
In algebraic geometry, a morphism between algebraic varieties is a function between the varieties that is given locally by polynomials. It is also called a regular map. A morphism from an algebraic variety to the affine line is also called a regular function. A regular map whose inverse is also regular is called biregular, and the biregular maps are the isomorphisms of algebraic varieties. Because regular and biregular are very restrictive conditions – there are no non-constant regular functions on projective varieties – the concepts of rational and birational maps are widely used as well; they are partial functions that are defined locally by rational fractions instead of polynomials. An algebraic variety has naturally the structure of a locally ringed space; a morphism between algebraic varieties is precisely a morphism of the underlying locally ringed spaces.
Numerology
Chaldean Numerology
The numerical value of morphism of algebraic varieties in Chaldean Numerology is: 8
Pythagorean Numerology
The numerical value of morphism of algebraic varieties in Pythagorean Numerology is: 1
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"morphism of algebraic varieties." Definitions.net. STANDS4 LLC, 2024. Web. 1 May 2024. <https://www.definitions.net/definition/morphism+of+algebraic+varieties>.
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