Word Pronunciation & Dictionary

ax-grothendieck theorem

Word Rarity Very rare

Frequency: Zipf frequency 1.81 in modern English

Syllables: ax--grothendieck- the-o-rem
IPA

44

Scrabble Score

21

Letters

6

Syllables

14

Unique Chars

Meaning

name

A result about injectivity and surjectivity of polynomials, often given as this special case: If P is an injective polynomial function from an n-dimensional complex vector space to itself then P is bijective. The full theorem generalizes to any algebraic variety over an algebraically closed field.

Etymology

Proved independently by James Ax and Alexander Grothendieck.

Inflected Forms

the Ax-Grothendieck theorem (canonical)

Questions

What does ax-grothendieck theorem mean?: A result about injectivity and surjectivity of polynomials, often given as this special case: If P is an injective polynomial function from an n-dimensional complex vector space to itself then P is bijective. The full theorem generalizes to any algebraic variety over an algebraically closed field.
Where does ax-grothendieck theorem come from?: Proved independently by James Ax and Alexander Grothendieck.

How to pronounce ax-grothendieck theorem

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