"Source: Text/Geometry/AlgSrf.text";
"Line: 1306";
"Date: Mon Mar 29 22:30:18 2021";
"Main: Thu May 25 10:02:38 2023";
// original file: Text/Geometry/AlgSrf.text, line: 1306
// Example: H123E7 ()
print "Example: H123E7";
ei := GetEchoInput();
SetEchoInput(true);
k := GF(37);
P := ProjectiveSpace(k,4);
X := RandomEnriquesSurface_d9g6(P);
#DefiningPolynomials(X);
assert $1 eq 15;
[TotalDegree(f): f in DefiningPolynomials(X)];
//surface defined by 15 quintics
ChernNumber(X,1);
assert $1 eq -1;
mp := MinimalModelKodairaDimensionZero(X);
Y := Codomain(mp);
#DefiningPolynomials(Y);
assert $1 eq 10;
[TotalDegree(f): f in DefiningPolynomials(Y)];
// minimal model Y defined by 10 cubics
Ambient(Y); Degree(Y);
ChernNumber(Y,1);
assert $1 eq 0;
SetEchoInput(ei);
