The genus of a complex projective plane curve.

Yenni Cherik
I2M, Aix-Marseille Université

Date(s) : 09/02/2022   iCal
10 h 30 min - 12 h 00 min

The zero set of a complex polynomial in two variables is in particular a punctured compact surface, we are going to compactify it by extending it to the zero set of a homogeneous complex polynomial in the complex projective plane, we will then get a compact surface and we will see that it’s genus is equal to (d-1)(d-2)/2 where d id the degree of the polynomial.

Emplacement
FRUMAM, St Charles (2ème étage)

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