Positivity properties of toric vector bundles

Milena Hering; Mircea Mustaţă; Sam Payne

Displaying similar documents to “Positivity properties of toric vector bundles”

Remarks on Seshadri constants of vector bundles

Christopher Hacon (2000)

Annales de l'institut Fourier

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We give a lower bound for the Seshadri constants of ample vector bundles which depends only on the numerical properties of the Chern classes and on a “stability” condition.

Flat vector bundles and the fundamental group in non-zero characteristics

D. Gieseker (1975)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Fano bundles of rank 2 on surfaces

Michał Szurek, Jarosław A. Wisniewski (1990)

Compositio Mathematica

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Principal parts of line bundles on toric varieties

David Perkinson (1996)

Compositio Mathematica

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A Torelli theorem for moduli spaces of principal bundles over a curve

Indranil Biswas, Norbert Hoffmann (2012)

Annales de l’institut Fourier

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Let $X$ and $X^{'}$ be compact Riemann surfaces of genus $\geq 3$ , and let $G$ and $G^{'}$ be nonabelian reductive complex groups. If one component $ℳ_{G}^{d} (X)$ of the coarse moduli space for semistable principal $G$ –bundles over $X$ is isomorphic to another component $ℳ_{G^{'}}^{d^{'}} (X^{'})$ , then $X$ is isomorphic to $X^{'}$ .

Bounds for Chern classes of semistable vector bundles on complex projective spaces

Wiera Dobrowolska (1993)

Colloquium Mathematicae

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This work concerns bounds for Chern classes of holomorphic semistable and stable vector bundles on $ℙ^{n}$ . Non-negative polynomials in Chern classes are constructed for 4-vector bundles on $ℙ^{4}$ and a generalization of the presented method to r-bundles on $ℙ^{n}$ is given. At the end of this paper the construction of bundles from complete intersection is introduced to see how rough the estimates we obtain are.