COHERENT SYSTEMS OF GENUS 0
2004 ◽
Vol 15
(04)
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pp. 409-424
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In this paper we begin the classification of coherent systems (E,V) on the projective line which are stable with respect to some value of a parameter α. In particular we show that the moduli spaces, if non-empty, are always smooth and irreducible of the expected dimension. We obtain necessary conditions for non-emptiness and, when dim V=1 or 2, we determine these conditions precisely. We also obtain partial results in some other cases.
2008 ◽
Vol 19
(09)
◽
pp. 1103-1119
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Keyword(s):
2009 ◽
Vol 37
(8)
◽
pp. 2649-2678
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2001 ◽
Vol 12
(3)
◽
pp. 433-448
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2008 ◽
Vol 19
(07)
◽
pp. 777-799
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Keyword(s):
2017 ◽
Vol 28
(03)
◽
pp. 1750022
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2016 ◽
Vol 152
(8)
◽
pp. 1555-1575
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Keyword(s):