Vector Equation E Ample

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Web according to fulton and lazarsfeld, a vector bundle e e on x x is called ample if the serre line bundle op(e)(1) o p ( e) ( 1) on the projectivized bundle p(e) p ( e) is ample. Web vector equation of a line. Canonical map h0(x, e) → ex h 0 ( x, e) → e x is.

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Process as in example 13. Web the equality may however occur, e.g. Atiyah in vector bundles over an elliptic curve defined ample line bundle e e on x x as satisfying the following conditions: When e= l r is the direct sum of r copies of an ample line bundle l. Take x =p1 x = p 1 and e.

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Let p = p{e) be the associated projective bundle and l = op(l) the tautological line bundle. Hq(x, e) = 0 h q ( x, e) = 0 for q > 0 q > 0. Then det(e) = o(1) det ( e) = o ( 1),. Web the equality may however occur, e.g. Web here we generalize this result to.

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Canonical map h0(x, e) → ex h 0 ( x, e) → e x is surjective for any x ∈ x x ∈ x. Springer science+business media b.v., part of springer nature. Web in math, a vector is an object that has both a magnitude and a direction. Atiyah in vector bundles over an elliptic curve defined ample line bundle.

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Web the equality may however occur, e.g. 24 october 2017 / accepted: Web definition and elementary properties of ample bundles*. Web in math, a vector is an object that has both a magnitude and a direction. In this paper we show (for bundles of any rank) that e is ample, if x is an elliptic curve (§ 1), or if.

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P(e)(1) with positive curvature (equivalently, a negatively curved. Web here we generalize this result to flag manifolds associated to a vector bundle e on a complex projective manifold x: Web r(e) is ample if and only if the vector bundle ∧re is ample on x. Springer science+business media b.v., part of springer nature. 15 may 2018 / published online:

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When e= l r is the direct sum of r copies of an ample line bundle l. Let e!x be a holomorphic vector bundle such that dete is ample. Let p = p{e) be the associated projective bundle and l = op(l) the tautological line bundle. Note that by theorem 1.1, the vanishing theorem of demailly [2] is valid under.

Vector Equation E Ample - For a partition a we show that the line. Springer science+business media b.v., part of springer nature. While this equation works well. Process as in example 13. Web definition and elementary properties of ample bundles*. 15 may 2018 / published online: X a holomorphic vector bundle of rank r 1. Atiyah in vector bundles over an elliptic curve defined ample line bundle e e on x x as satisfying the following conditions: Then l is ample on p. For every coherent sheaf f on x, there.

Canonical map h0(x, e) → ex h 0 ( x, e) → e x is surjective for any x ∈ x x ∈ x. X is said to be ample. While this equation works well. Web p(e)(1) on p(e) is ample. Web according to fulton and lazarsfeld, a vector bundle e e on x x is called ample if the serre line bundle op(e)(1) o p ( e) ( 1) on the projectivized bundle p(e) p ( e) is ample.

In fact, the following fact is easy to prove. For a partition a we show that the line. Take x =p1 x = p 1 and e =o(−1) ⊕o(2) e = o ( − 1) ⊕ o ( 2). X a holomorphic vector bundle of rank r 1.

24 october 2017 / accepted: Let e!x be a holomorphic vector bundle such that dete is ample. Let e !x be a.

Then det(e) = o(1) det ( e) = o ( 1),. Springer science+business media b.v., part of springer nature. Take x =p1 x = p 1 and e =o(−1) ⊕o(2) e = o ( − 1) ⊕ o ( 2).

Web According To Fulton And Lazarsfeld, A Vector Bundle E E On X X Is Called Ample If The Serre Line Bundle Op(E)(1) O P ( E) ( 1) On The Projectivized Bundle P(E) P ( E) Is Ample.

Web in math, a vector is an object that has both a magnitude and a direction. Process as in example 13. Atiyah in vector bundles over an elliptic curve defined ample line bundle e e on x x as satisfying the following conditions: 24 october 2017 / accepted:

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Web char, k = 0, or char, k = p and deg £ > (2/p) {g — 1). — a vector bundle e on a scheme x is ample if for every coherent sheaf f, there is an integer uq>o, such that. Canonical map h0(x, e) → ex h 0 ( x, e) → e x is surjective for any x ∈ x x ∈ x. In fact, the following fact is easy to prove.

15 May 2018 / Published Online:

Take x =p1 x = p 1 and e =o(−1) ⊕o(2) e = o ( − 1) ⊕ o ( 2). Web definition and elementary properties of ample bundles*. Web r(e) is ample if and only if the vector bundle ∧re is ample on x. Note that by theorem 1.1, the vanishing theorem of demailly [2] is valid under the minimal hypothesis sae ample.

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Web 2) an important property is that a quotient bundle of an ample bundle is ample. X is said to be ample. Web vector equation of a line. While this equation works well.