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4
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Curve - non singular curve and its genus
Help me please with this problem:$ X \subset \mathbb{P}^{2}$
defined as $x^{3}y+y^{3}z+z^{3}x=0$
1.Prove X - non singular curve and find its genus.
2.Prove X - maximal curve over $F_{8}$ field, and ...
2
votes
1answer
90 views
how does one intersect the diagonal with a graph on the surface $X\times X$
I want to do a concrete example of an intersection product for myself.
Consider the endomorphism $f:\mathbf{P}^1_k\to \mathbf{P}^1_k$ given by $(x:y)\to (y:x)$. It has precisely two fixed points: ...