Displaying similar documents to “Holomorphic triples of genus 0”

Compactifications of moduli spaces of (semi)stable bundles on singular curves: two points of view.

Montserrat Teixidor i Bigas (1998)

Collectanea Mathematica

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Moduli spaces of vector bundles on families of non-singular curves are usually compactified by considering (slope)semistable bundles on stable curves. Alternatively, one could consider Hilbert-stable curves in Grassmannians. We study some properties of the latter and compare them with similar properties of curves coming from the former compactification. This leads to a new interpretation of the moduli space of (semi)stable torsion-free sheaves on a fixed nodal curve. One can present...

Prolongations and stability in dynamical systems

J. Auslander, P. Seibert (1964)

Annales de l'institut Fourier

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Les auteurs étudient la notion de prolongement au sens de T. Ura et ses relations avec la notion d’ensembles positivement invariants. La stabilité au sens de Liapounoff est équivalente à l’invariance par prolongement. Les auteurs dégagent ensuite la notion de “prolongements abstraits” et les notions de stabilité correspondantes; la stabilité absolue (associée au prolongement minimal transitif) et la stabilité asymptotique jouent un rôle important.

Stable vector bundles over cuspidal cubics

Lesya Bodnarchuk, Yuriy Drozd (2003)

Open Mathematics

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We give a complete classification of stable vector bundles over a cuspidal cubic and calculate their cohomologies. The technique of matrix problems is used, similar to [2, 3].