An Algorithm for Fat Points on P2
2000 ◽
Vol 52
(1)
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pp. 123-140
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Keyword(s):
Blow Up
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AbstractLet F be a divisor on the blow-up X of P2 at r general points p1, . . . , pr and let L be the total transform of a line on P2. An approach is presented for reducing the computation of the dimension of the cokernel of the natural map to the case that F is ample. As an application, a formula for the dimension of the cokernel of μF is obtained when r = 7, completely solving the problem of determining the modules in minimal free resolutions of fat point subschemes m1p1 + · · · + m7p7 ⊂ P2. All results hold for an arbitrary algebraically closed ground field k.
2004 ◽
Vol 56
(4)
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pp. 716-741
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Keyword(s):
1990 ◽
Vol 118
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pp. 203-216
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Keyword(s):
1986 ◽
Vol 100
(1)
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pp. 265-304
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2016 ◽
Vol 220
(1)
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pp. 278-291
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