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algebraic varieties
Posted:
Mar 25, 2011 9:37 AM


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



