| 词条 | Logarithmic pair |
| 释义 |
In algebraic geometry, a logarithmic pair consists of a variety, together with a divisor along which one allows mild logarithmic singularities. They were studied by {{harvtxt|Iitaka|1976}}. DefinitionA boundary Q-divisor on a variety is a Q-divisor D of the form ΣdiDi where the Di are the distinct irreducible components of D and all coefficients are rational numbers with 0≤di≤1. A logarithmic pair, or log pair for short, is a pair (X,D) consisting of a normal variety X and a boundary Q-divisor D. The log canonical divisor of a log pair (X,D) is K+D where K is the canonical divisor of X. A logarithmic 1-form on a log pair (X,D) is allowed to have logarithmic singularities of the form d log(z) = dz/z along components of the divisor given locally by z=0. References
1 : Algebraic geometry |
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