Speakur

Word Pronunciation & Dictionary

affine scheme

Word Rarity Very rare

Frequency: 2.43 in modern English

Syllables
affine scheme
IPA
25
Scrabble Score
12
Letters
1
Syllables
9
Unique Chars

Meaning

noun

An abstract, geometric object in mathematics which generalizes the notion of an affine variety qua domain of a commutative ring of polynomial functions: a space which is the result of a particular construction beginning with an arbitrary commutative ring whereby elements of the ring can be thought of as functions on the space; a space which can be constructed in such a way. Formally: the spectrum of a commutative ring; a locally ringed space isomorphic to the spectrum of a commutative ring.

Inflected Forms

affine schemes (plural)

Questions

What does affine scheme mean?
An abstract, geometric object in mathematics which generalizes the notion of an affine variety qua domain of a commutative ring of polynomial functions: a space which is the result of a particular construction beginning with an arbitrary commutative ring whereby elements of the ring can be thought of as functions on the space; a space which can be constructed in such a way. Formally: the spectrum of a commutative ring; a locally ringed space isomorphic to the spectrum of a commutative ring.

How to pronounce affine scheme

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