Very Ample Linear Systems on Blowings-Up at General Points of Projective Spaces
2002 ◽
Vol 45
(3)
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pp. 349-354
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Keyword(s):
AbstractLet Pn be the n-dimensional projective space over some algebraically closed field k of characteristic 0. For an integer t ≥ 3 consider the invertible sheaf O(t) on Pn (Serre twist of the structure sheaf). Let , the dimension of the space of global sections of O(t), and let k be an integer satisfying 0 < k ≤ N − (2n + 2). Let P1,…,Pk be general points on Pn and let π : X → Pn be the blowing-up of Pn at those points. Let Ei = π−1(Pi) with 1 ≤ i ≤ k be the exceptional divisor. Then M = π*(O(t)) ⊗ OX(−E1 — … — Ek) is a very ample invertible sheaf on X.
1996 ◽
Vol 48
(3)
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pp. 585-595
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2011 ◽
Vol 11
(2)
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pp. 273-287
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1959 ◽
Vol 14
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pp. 223-234
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2013 ◽
Vol 89
(2)
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pp. 234-242
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2014 ◽
Vol 35
(7)
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pp. 2242-2268
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2011 ◽
Vol 11
(2)
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pp. 221-271
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1976 ◽
Vol 59
(1)
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pp. 29-29
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