Cohomology of a general instanton bundle

Robin Hartshorne; André Hirschowitz

Displaying similar documents to “Cohomology of a general instanton bundle”

Cohomology of line bundles on $G / B$

Henning Haahr Andersen (1979)

Annales scientifiques de l'École Normale Supérieure

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Cohomology of coherent sheaves and series of supernatural bundles

David Eisenbud, Frank-Olaf Schreyer (2010)

Journal of the European Mathematical Society

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We show that the cohomology table of any coherent sheaf on projective space is a convergent—but possibly infinite—sum of positive real multiples of the cohomology tables of what we call supernatural sheaves.

Instanton bundles on Fano threefolds

Alexander Kuznetsov (2012)

Open Mathematics

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We introduce the notion of an instanton bundle on a Fano threefold of index 2. For such bundles we give an analogue of a monadic description and discuss the curve of jumping lines. The cases of threefolds of degree 5 and 4 are considered in a greater detail.

Vector bundles on Hirzebruch surfaces whose twists by a non-ample line bundle have natural cohomology

Edoardo Ballico, Francesco Malaspina (2008)

Open Mathematics

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Here we study vector bundles E on the Hirzebruch surface F e such that their twists by a spanned, but not ample, line bundle M = $𝒪$ Fe(h + ef) have natural cohomology, i.e. h 0(F e, E(tM)) > 0 implies h 1(F e, E(tM)) = 0.

Positivity on subvarieties and vanishing of higher cohomology

Alex Küronya (2013)

Annales de l’institut Fourier

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We study the relationship between positivity of restriction of line bundles to general complete intersections and vanishing of their higher cohomology. As a result, we extend classical vanishing theorems of Kawamata–Viehweg and Fujita to possibly non-nef divisors.

Local Chern classes

Birger Iversen (1976)

Annales scientifiques de l'École Normale Supérieure

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Cohomology of line bundles on $G / B$

Lakshmi Bai, C. Musili, C. S. Seshadri (1974)

Annales scientifiques de l'École Normale Supérieure

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Rank 4 vector bundles on the quintic threefold

Carlo Madonna (2005)

Open Mathematics

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By the results of the author and Chiantini in [3], on a general quintic threefold X⊂P 4 the minimum integer p for which there exists a positive dimensional family of irreducible rank p vector bundles on X without intermediate cohomology is at least three. In this paper we show that p≤4, by constructing series of positive dimensional families of rank 4 vector bundles on X without intermediate cohomology. The general member of such family is an indecomposable bundle from the extension...