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

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.
Original languageUnknown
Pages (from-to)402-421
JournalJournal Of Geometry And Physics
Volume58
Issue number3
DOIs
Publication statusPublished - 1 Jan 2008

Cite this

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title = "Stability on the Sato Grassmannian. Applications to the moduli of vector bundles",
abstract = "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.",
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Stability on the Sato Grassmannian. Applications to the moduli of vector bundles. / Casimiro, Ana Cristina Malheiro.

In: Journal Of Geometry And Physics, Vol. 58, No. 3, 01.01.2008, p. 402-421.

Research output: Contribution to journalArticle

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