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Normal crossings : ウィキペディア英語版
Normal crossings
In algebraic geometry normal crossings is the property of intersecting geometric objects to do it in a transversal way.
==Normal crossing divisors==
In algebraic geometry, normal crossing divisors are a class of divisors which generalize the smooth divisors. Intuitively they cross only in a transversal way.
Let ''A'' be an algebraic variety, and Z= \cup_i Z_i a reduced Cartier divisor, with Z_i its irreducible components. Then ''Z'' is called a smooth normal crossing divisor if either
:(i) ''A'' is a curve, or
:(ii) all Z_i are smooth, and for each component Z_k, (Z-Z_k)|_ is a smooth normal crossing divisor.
Equivalently, one says that a reduced divisor has normal crossings if each point étale locally looks like the intersection of coordinate hyperplanes.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Normal crossings」の詳細全文を読む



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