Bézout’s theorem (Algebraic Geometry)
The classic version of Bézout’s theorem states that two complex projective curves of degrees and which share no common component intersect in exactly points if the points are counted with multiplicity.
The generalized version of Bézout’s theorem states that if and are algebraic varieties in -dimensional projective space over an algebraically complete field and is a variety of dimension , then the degree of is the product of the degrees of and .
|Title||Bézout’s theorem (Algebraic Geometry)|
|Date of creation||2013-03-22 14:36:45|
|Last modified on||2013-03-22 14:36:45|
|Last modified by||rspuzio (6075)|