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discriminant(SpecialGushelMukaiFourfold) -- discriminant of a special Gushel-Mukai fourfold



This function applies a formula given in Section 7 of the paper Special prime Fano fourfolds of degree 10 and index 2, obtaining the data required through the functions cycleClass, EulerCharacteristic and Euler (the option Algorithm allows you to select the method).

i1 : X = specialGushelMukaiFourfold "tau-quadric";

o1 : ProjectiveVariety, GM fourfold containing a surface of degree 2 and sectional genus 0
i2 : time discriminant X
 -- used 2.21766s (cpu); 0.833532s (thread); 0s (gc)

o2 = 10

See also

Ways to use this method: