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In [[algebraic geometry]] '''normal crossings''' is the property of intersecting geometric objects to do it in a transversal way.
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==Normal crossing divisors==
In [[algebraic geometry]], '''normal crossing divisors''' are  a class of [[Divisor (algebraic geometry)|divisors]] which generalize the smooth divisors. Intuitively they cross only in a transversal way.
 
Let ''A'' be an [[algebraic variety]], and <math>Z= \cup_i Z_i</math> a [[Divisor (algebraic geometry)|reduced Cartier divisor]], with <math>Z_i</math> its irreducible components. Then ''Z'' is called '''a smooth normal crossing divisor''' if either
 
:(i) ''A'' is a [[algebraic curve|curve]], or
:(ii) all <math>Z_i</math> are smooth, and for each component <math>Z_k</math>, <math>(Z-Z_k)|_{Z_k}</math> is a smooth normal crossing divisor.
 
Equivalently, one says that a reduced divisor has normal crossings if each point [[étale topology|étale locally]] looks like the intersection of coordinate hyperplanes.
 
==Normal crossings singularity==
In [[algebraic geometry]] a '''normal crossings ''' singularity is a point in an [[algebraic variety]] that is [[locally]] isomorphic to a normal crossings divisor.
 
==Simple normal crossings singularity==
In [[algebraic geometry]] a '''simple normal crossings singularity''' is a point in an [[algebraic variety]], the latter having [[Smooth algebraic variety|smooth]] [[irreducible component]]s, that is [[locally]] isomorphic to a normal crossings divisor.
 
==Examples==
* The normal crossing points in the algebraic variety called the [[Whitney umbrella]] are not simple normal crossings singularities.
* The origin in the algebraic variety defined by <math>xy=0</math> is a simple normal crossings singularity. The variety itself, seen as a subvariety of the two-dimensional [[Cartesian coordinate system|affine plane]] is an example of a normal crossings divisor.
 
== References ==
 
* Robert Lazarsfeld, ''Positivity in algebraic geometry'', Springer-Verlag, Berlin, 1994.
 
[[Category:Algebraic geometry]]
[[Category:Geometry of divisors]]

Latest revision as of 01:11, 30 October 2014

Once you are healed or on the method to being so, you need to consider your legal rights. As long as you were not trespassing on someone else's home, you probably have legal securities and recourse. Ambulances, ER physicians, and prescription antibiotics are not inexpensive, and somebody will certainly have to spend for them. They might insist that you look for legal option if you have insurance coverage. In either case, you must contact an accident lawyer. In many circumstances an individual has been negligent in their handling of the animal, which was a direct reason for your injury. They have a legal and moral duty to pay for your injuries which only happened because of their negligence if this is the case. Don't avoid this step; you should not be delegated the injuries which happened due to no wrong-doing of your very own.

Now that you have organized an in-person meeting, ASK THE RIGHT QUESTIONS if you are trying to find a personal injury lawsuit cases injury or clinical malpractice lawyer. Keep in mind, the best and most seasoned attorneys usually have a line of people pleading to employ them. They are usually really selective in picking the types of cases they will certainly handle. These lawyers will not be insulted or avoided by your concerns but rather they will welcome them, due to the fact that it shows you are taking steps to educate yourself.

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There is no length restriction to an official need letter. Nevertheless, the more clear and concise it is, the much better. It typically should not be even more than a couple pages. A letter that is short and gets to the point will convey that you are serious about filing a suit.

It is essential that you discover the ideal New York personal injury for you, to make sure the finest outcome for your case. This is by far the most considerable element for an effective outcome of your legal case. So make sure you take your time and select right. Your financial future depends on it.

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