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CongruenceOfCurves EmbeddedProjectiveVariety -- get the curve of a congruence passing through a point

Description

i1 : X = specialCubicFourfold surface {3,4};

o1 : ProjectiveVariety, cubic fourfold containing a surface of degree 5 and sectional genus 1
i2 : f = detectCongruence(X,1);

o2 : Congruence of 2-secant lines to surface in PP^5
i3 : C = f point ambient X;

o3 : ProjectiveVariety, curve in PP^5
i4 : member(C,f)

o4 = true
i5 : assert oo

See also

Ways to use this method:


The source of this document is in /build/reproducible-path/macaulay2-1.25.05+ds/M2/Macaulay2/packages/SpecialFanoFourfolds.m2:3328:0.