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Topic: algebraic varieties
Replies: 2   Last Post: Mar 25, 2011 9:51 PM

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Maxon Buscher

Posts: 6
Registered: 2/26/06
algebraic varieties
Posted: Mar 25, 2011 9:37 AM
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Is an algebraic variety a union or an intersection? Example - three
first order equations in three unknowns is called a system of
equations whose solution is geometrically an intersection. Some
references I read tell me the obvious
fact that UNIONS are much more abstract and geometry is not often (if
ever) "visualizable". So this make for more exciting math and the
basis for new directions and abstractions. But most of the references
begin by stating algebraic varieties are intersections and then kind
of float into saying unions. And from there on of course I need many
credits under my belt (hat?) to proceed. Any answer or references
are appreciated.
Max Buscher

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