The degree-genus formula for nonsingular complex algebraic curves
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Abstract (EN)
Any nonsingular projective curve = () ⊂ ℙ(ℂ) ( , a nonzero homogeneous polynomial in three variables) is compact connected orientable 2- manifold. These manifolds can be obtained from spheres by adding handles. This number is called the genus of the manifold. These manifolds are classified by their genus. Two manifolds with the same genus are homeomorphic. Just looking at the degree of , it is possible to calculate the genus of the curve and thus to classify the curve. If deg = , the number of genus can easily be found by the genus formula = 1 2 ( − 1)( − 2) In the study, the degree-genus formula has been proved.
Author
Habibe Toker
How to Cite
Habibe Toker (Master Thesis). The degree-genus formula for nonsingular complex algebraic curves, 2017, Çukurova University.
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