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Let X be a nonsingular quasi-projective complex algebraic variety
and let E be an algebraic vector bundle on X of rank r ≥ 2. The pullback of E
by the blowup of X at a suitably chosen nonsingular subvariety of X of codimension r
contains a line subbundle that can be explicitly described.
keywords in English:
complex algebraic variety, vector bundle, blowup
number of pulisher's sheets:
0,2
affiliation:
Wydział Matematyki i Informatyki : Instytut Matematyki
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