"Source: Text/Geometry/AlgSrf.text";
"Line: 1128";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Geometry/AlgSrf.text, line: 1128
// Example: H126E5 ()
print "Example: H126E5";
ei := GetEchoInput();
SetEchoInput(true);
k := GF(37);
P := ProjectiveSpace(k,4);
X := RandomRationalSurface_d10g9(P);
#DefiningPolynomials(X);
assert $1 eq 11;
[TotalDegree(f): f in DefiningPolynomials(X)];
// X is defined by a quartic and 10 quintics
ChernNumber(X,1);
assert $1 eq -9;
mp := MinimalModelRationalSurface(X);
Y := Codomain(mp);
Y;
Ambient(Y); Degree(Y);
ChernNumber(Y,1);
assert $1 eq 5;
SetEchoInput(ei);
