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   Articles with "line bundles" as a keyword



The growth of dimension of cohomology of semipositive line bundles on Hermitian manifolds

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recommendations! Published in 2018 at "Mathematische Zeitschrift"

DOI: 10.1007/s00209-020-02512-w

Abstract: In this paper, we study the dimension of cohomology of semipositive line bundles over Hermitian manifolds, and obtain an asymptotic estimate for the dimension of the space of harmonic (0,  q )-forms with values in… read more here.

Keywords: dimension cohomology; line bundles; semipositive line; line ... See more keywords
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ACM line bundles on elliptic ruled surfaces

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recommendations! Published in 2018 at "manuscripta mathematica"

DOI: 10.1007/s00229-018-1082-4

Abstract: In this note we classify arithmetically Cohen–Macaulay line bundles on a given complex polarized elliptic ruled surface; for each numerical class, we consider only tensor products with the pullback of a general line bundle on… read more here.

Keywords: elliptic ruled; line; bundles elliptic; line bundles ... See more keywords
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ACM line bundles on polarized K3 surfaces

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recommendations! Published in 2019 at "Geometriae Dedicata"

DOI: 10.1007/s10711-019-00436-2

Abstract: An ACM bundle on a polarized algebraic variety is defined as a vector bundle whose intermediate cohomology vanishes. We are interested in ACM bundles of rank one with respect to a very ample line bundle… read more here.

Keywords: line bundle; acm line; line bundles; line ... See more keywords
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Integral Kähler invariants and the Bergman kernel asymptotics for line bundles

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recommendations! Published in 2017 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2016.12.014

Abstract: Abstract On a compact Kahler manifold, one can define global invariants by integrating local invariants of the metric. Assume that a global invariant thus obtained depends only on the Kahler class. Then we show that… read more here.

Keywords: integral hler; invariants bergman; line bundles; bergman kernel ... See more keywords

Successive minima of line bundles

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recommendations! Published in 2020 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2020.107045

Abstract: We introduce and study the successive minima of line bundles on proper algebraic varieties. The first (resp. last) minima are the width (resp. Seshadri constant) of the line bundle at very general points. The volume… read more here.

Keywords: line; line bundles; successive minima; minima line ... See more keywords
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A maximally-graded invertible cubic threefold that does not admit a full exceptional collection of line bundles

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recommendations! Published in 2020 at "Forum of Mathematics, Sigma"

DOI: 10.1017/fms.2020.44

Abstract: Abstract We show that there exists a cubic threefold defined by an invertible polynomial that, when quotiented by the maximal diagonal symmetry group, has a derived category that does not have a full exceptional collection… read more here.

Keywords: line bundles; full exceptional; cubic threefold; exceptional collection ... See more keywords

On the hard Lefschetz theorem for pseudoeffective line bundles

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recommendations! Published in 2021 at "International Journal of Mathematics"

DOI: 10.1142/s0129167x2150035x

Abstract: In this paper, we obtain a number of results related to the hard Lefschetz theorem for pseudoeffective line bundles, due to Demailly, Peternell and Schneider. Our first result states that the holomorphic sections produced by… read more here.

Keywords: hard lefschetz; theorem pseudoeffective; pseudoeffective line; lefschetz theorem ... See more keywords