Stable vector bundles on algebraic surfaces II
1973 ◽
Vol 52
◽
pp. 173-195
◽
Keyword(s):
This paper is a continuation of “Stable vector bundles on algebraic surfaces” [10]. For simplicity we deal with non-singular projective varieties over the field of complex numbers. Let W be a variety whose fundamental group is solvable, let H be an ample line bundle on W, and let f: V → W be an unramified covering. Then we show in section 1 that if E is an f*H-stable vector bundle on V then f*E is a direct sum of H-stable vector bundles. In particular f*L is a direct sum of simple vector bundles if L is a line bundle on V.
Keyword(s):
Keyword(s):
2019 ◽
Vol 99
(2)
◽
pp. 195-202
2008 ◽
Vol 6
(1)
◽
pp. 143-148
Keyword(s):
1986 ◽
Vol 38
(5)
◽
pp. 1110-1121
◽
2010 ◽
Vol 21
(04)
◽
pp. 497-522
◽
Keyword(s):