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Results tagged with enumerative-geometry
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user 14037
7
votes
Accepted
A funny factorization of the Jacobian coming from the lines on the Fermat cubic
The Jacobian matrix consists of coefficients of $t^3,t^2u,tu^2,u^3$ in the following $4$ partial derivatives $$\partial_p F(t,u,pt+ru,qt+su) = \partial_{y}F(t,u,pt+ru,qt+su)t,\\
\ldots\\
\partial_s F( …
- 1,829
2
votes
Is there a formula for the number of rational cuspidal curves in surfaces other than P^2?
Given a collection of isolated plane curve singularity type $\alpha = (\alpha_1,\ldots,\alpha_l)$, J. Li and Y.-J. Tzeng proved the existence of a polynomial $T_\alpha$ such that for any sufficiently …
- 1,829