next | previous | forward | backward | up | top | index | toc | Macaulay2 web site
FThresholds :: binaryFormFPT

binaryFormFPT -- computes the F-pure threshold of a form in two variables

binaryFormFPT computes the F-pure threshold of a homogeneous polynomial G in two variables.

i1 : R = ZZ/3[x,y];
i2 : G = x^5*y^2-x^3*y^4+x*y^6-y^7;

The method used requires factoring G into linear forms in some extension of the base field. If the user knows such a factorization beforehand, the alternate call binaryFormFPT(factors,multiplicities) can be used for improved performance.

i3 : R = ZZ/5[x,y];

This is based on the work of Daniel Hernandez and Pedro Teixeira.