Relative effective Cartier divisor
id:
relative-effective-cartier-divisor-260-14042147
title:
Relative effective Cartier divisor
text:
In algebraic geometry, a relative effective Cartier divisor is roughly a family of effective Cartier divisors. Precisely, an effective Cartier divisor in a scheme X over a ring R is a closed subscheme D of X that (1) is flat over R and (2) the ideal sheaf I of D is locally free of rank one. Equivalently, a closed subscheme D of X is an effective Cartier divisor if there is an open affine cover U i = Spec A i of X and nonzerodivisors f i ∈ A i such that the intersection D ∩ U i is given by the
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wiki
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https://en.wikipedia.org/wiki/Relative_effective_Cartier_divisor
date created:
date modified:
2022-02-16T20:33:41Z
main entity:
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13
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