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Currently displaying 1 – 2 of 2

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On ramified covers of the projective plane II: Generalizing Segre’s theory

Michael Friedman; Rebecca Lehman; Maxim Leyenson; Mina Teicher — 2012

Journal of the European Mathematical Society

The classical Segre theory gives a necessary and sufficient condition for a plane curve to be a branch curve of a (generic) projection of a smooth surface in $ℙ^{3}$ . We generalize this result for smooth surfaces in a projective space of any dimension in the following way: given two plane curves, $B$ and $E$ , we give a necessary and sufficient condition for $B$ to be the branch curve of a surface $X$ in $ℙ^{N}$ and $E$ to be the image of the double curve of a $ℙ^{3}$ -model of $X$ . In the classical Segre theory, a plane curve...

The fundamental group for the complement of Cayley's singularities.

Amram, Meirav; Dettweiler, Michael; Friedman, Michael; Teicher, Mina — 2009

Beiträge zur Algebra und Geometrie

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