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SpecialFanoFourfolds :: < SpecialGushelMukaiFourfold

< SpecialGushelMukaiFourfold -- try to deform to a fourfold of Gushel type

Synopsis

Description

i1 : X = specialGushelMukaiFourfold "quintic del Pezzo surface";

o1 : ProjectiveVariety, GM fourfold containing a surface of degree 5 and sectional genus 1
i2 : singularLocus grassmannianHull X

o2 = empty subscheme of PP^8

o2 : ProjectiveVariety, empty subscheme of PP^8
i3 : time X' = < X;
     -- used 4.38703 seconds

o3 : ProjectiveVariety, GM fourfold containing a surface of degree 5 and sectional genus 1
i4 : decompose singularLocus grassmannianHull X'

o4 = {point of coordinates [1, 0, 0, 0, 0, 0, 0, 0, 0]}

o4 : List

Ways to use this method: