e/Motive (mathematics)

Information
has gloss	eng: In algebraic geometry, a motive (or sometimes motif, following French usage) denotes refers to some essential part of an algebraic variety. To date, pure motives have been defined, while conjectural mixed motives have not. Pure motives are triples (X, p, m), where X is a smooth projective variety, p : X ⊢ X is an idempotent correspondence, and m an integer. A morphism from (X, p, m) to (Y, q, n) is given by a correspondence of degree n - m.
lexicalization	eng: motive
instance of	c/Topological methods of algebraic geometry

Meaning
Korean
has gloss	kor: 모티브(영어: motive, 프랑스어: motif)는 대수기하학의 연구대상 중 한가지로, 직관적으로 말하자면, 대수다양체의 궁극적인 성질들을 가지고 있는 대상을 뜻한다. 좀 더 수학적으로 엄밀하게 말하자면, 모티브 이론이란 대수다양체에 관한 범용 코호몰로지 이론(universal cohomology theory)이다.
lexicalization	kor: 모티브
Russian
has gloss	rus: Теория Мотивов — обобщение различных теорий когомологий алгебраических многообразий.
lexicalization	rus: Теория Мотивов