Tohoku Mathematical Journal
2014
December
SECOND SERIES VOL. 66, NO. 4

Tohoku Math. J.
66 (2014), 555-562

Title LIMIT LINEAR SERIES FOR VECTOR BUNDLES

Author Montserrat Teixidor i Bigas

(Received March 26, 2013, revised September 12, 2013)
Abstract. We provide a construction of limit linear series for families of curves and justify dimension bounds. We show how to extend the sections of a vector bundle to twists by line bundles and to elementary transformations.

Mathematics Subject Classification. Primary 14H60.
Key words and phrases. Vector bundles, limit linear series.

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