Ample line bundle
In mathematics, a distinctive feature of algebraic geometry is that some line bundles on a projective variety can be considered "positive", while others are "negative" (or a mixture of the two). The most important notion of positivity is that of an , although there are several related classes of line bundles. Roughly speaking, positivity properties of a line bundle are related to having many global sections. Understanding the ample line bundles on a given variety X amounts to understanding the different ways of mapping X into projective space. In view of the correspondence between line bundles and divisors (built from codimension-1 subvarieties), there is an equivalent notion of an ample divisor.
Ample line bundleAlgebraic geometry of projective spacesAlgebraic surfaceAmanita flavellaAmpleAmple coneAmple divisorAmple invertible sheafAmple sheafAmple vector bundleBasepoint-freeBirational geometryBo BerndtssonBogomolov conjectureBoris MoishezonCanonical bundleChristina BirkenhakeCohen–Macaulay ringCoherent sheafCoherent sheaf cohomologyComplex geometryCone of curvesDel Pezzo surfaceDivisor (algebraic geometry)Divisorial schemeEhrhart polynomialEquations defining abelian varietiesEuler sequenceFano fibrationFano varietyFourier–Mukai transformFrankel conjectureFrobenius splittingFujita conjectureGlossary of algebraic geometryGlossary of arithmetic and diophantine geometryGrothendieck–Riemann–Roch theoremHaboush's theoremHeight function
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Ample line bundle
In mathematics, a distinctive feature of algebraic geometry is that some line bundles on a projective variety can be considered "positive", while others are "negative" (or a mixture of the two). The most important notion of positivity is that of an , although there are several related classes of line bundles. Roughly speaking, positivity properties of a line bundle are related to having many global sections. Understanding the ample line bundles on a given variety X amounts to understanding the different ways of mapping X into projective space. In view of the correspondence between line bundles and divisors (built from codimension-1 subvarieties), there is an equivalent notion of an ample divisor.
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In mathematics, a distinctive ...... leiman criteria for ampleness.
@en
代数幾何学では、非常に豊富な直線束(very ample l ...... 影空間への射を定義することに充分な切断を持つ層のことを言う。
@ja
대수기하학에서, 풍부한 가역층(豐富한可逆層, 영어: a ...... 는 가역층의 천 특성류가 켈러 구조로 표현됨을 뜻한다.
@ko
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Ample line bundle
@en
豊富な直線束
@ja
풍부한 가역층
@ko
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In mathematics, a distinctive ...... nt notion of an ample divisor.
@en
代数幾何学では、非常に豊富な直線束(very ample l ...... 影空間への射を定義することに充分な切断を持つ層のことを言う。
@ja
대수기하학에서, 풍부한 가역층(豐富한可逆層, 영어: a ...... 는 가역층의 천 특성류가 켈러 구조로 표현됨을 뜻한다.
@ko