Geodesic
Stability of Vector Bundles on Curves and Degenerations
Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 858-864

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DOI

We introduce a weaker notion of (semi)stability for vector bundles on reducible curves that does not depend on a choice of polarization and suffices for many applications of degeneration techniques. We explore the basic properties of this alternate notion of (semi)stability. In a complementary direction, we record a proof of the existence of semistable extensions of vector bundles in suitable degenerations.
DOI : 10.4153/CMB-2016-008-2
Mots-clés : 14D06, 14H60, vector bundle, stability, degeneration 
Osserman, Brian. Stability of Vector Bundles on Curves and Degenerations. Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 858-864. doi: 10.4153/CMB-2016-008-2
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     author = {Osserman, Brian},
     title = {Stability of {Vector} {Bundles} on {Curves} and {Degenerations}},
     journal = {Canadian mathematical bulletin},
     pages = {858--864},
     year = {2016},
     volume = {59},
     number = {4},
     doi = {10.4153/CMB-2016-008-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-008-2/}
}
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