Generalizing a result of Miyaoka, we prove that the semistability of a vector bundle E on a smooth projective curve over a field of characteristic zero is equivalent to the nefness of any of certain divisorial classes θs , λs in the Grassmannians Grs(E) of locally-free quotients of E and in the projective bundles PQs , respectively (here 0 < s
Semistability vs. nefness for (Higgs) vector bundles / Bruzzo, U.; Hernandez Ruiperez, D.. - In: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. - ISSN 0926-2245. - 24:4(2006), pp. 403-416. [10.1016/j.difgeo.2005.12.007]
Semistability vs. nefness for (Higgs) vector bundles
Bruzzo, U.;
2006-01-01
Abstract
Generalizing a result of Miyaoka, we prove that the semistability of a vector bundle E on a smooth projective curve over a field of characteristic zero is equivalent to the nefness of any of certain divisorial classes θs , λs in the Grassmannians Grs(E) of locally-free quotients of E and in the projective bundles PQs , respectively (here 0 < sFile in questo prodotto:
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