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MatFacCurvesP4 :: randomCurveGenus10Degree13InP4

randomCurveGenus10Degree13InP4 -- general curve in P^4 of genus 10 and degree 13

Synopsis

Description

The function constructs a curve E of genus 10 on P1 x P2 via liaison techniques together with P=5 points on E, then embeds E in P4 via the complete linear system |K-P|. This construction is proven to be unirational and gives hence rise to a general curve of genus 10 and degree 13

Ways to use randomCurveGenus10Degree13InP4 :