Stability on the Sato Grassmannian. Applications to the moduli of vector bundles

Casimiro, A.C; Muñoz Porras, José María; Plaza Martín, Francisco José

doi:10.1016/j.geomphys.2007.11.011

Título

Stability on the Sato Grassmannian. Applications to the moduli of vector bundles

Autor(es)

Casimiro, A.C

Muñoz Porras, José María

Plaza Martín, Francisco José

Palabras clave

Sato Grassmannian

Stability

Harder–Narasimhan filtration

Jordan–Hölder filtration

Moduli of vector bundles

Fecha de publicación

2008

Editor

ELSEVIER

Citación

.C. Casimiro, J.M. Muñoz Porras, F.J. Plaza Martín, Stability on the Sato Grassmannian. Applications to the moduli of vector bundles, Journal of Geometry and Physics, Volume 58, Issue 3, 2008, Pages 402-421, ISSN 0393-0440, https://doi.org/10.1016/j.geomphys.2007.11.011. (https://www.sciencedirect.com/science/article/pii/S0393044007001520)

Resumen

[EN] The action of Sl(r,k[[z]]) on the Sato Grassmannian is studied. Following ideas similar to those of GIT and to those used in the study of vector bundles, the (semi)stable points are introduced. It is shown that any point admits a Harder–Narasimhan filtration and that, if it is semistable, it has a Jordan–H¨ older filtration. Finally, theses results are compared with the well-known theory of vector bundles on an algebraic curve.

URI

https://hdl.handle.net/10366/159308

ISSN

0393-0440

DOI

10.1016/j.geomphys.2007.11.011

Versión del editor

https://doi.org/10.1016/j.geomphys.2007.11.011

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