ResidualStrategy

Description

The option ResidualStrategy determines which strategy is used to compute the residuals, which is the main step in the computation done by the commands in this package. When choosing the default Symbolic, Gröbner basis methods will be used. The computations can also be done numerically using the regenerative cascade implemented in Bertini. This is done by choosing the option Bertini and provided Bertini is installed and configured. Using Bertini may provide a speed-up or prevent running out of memory.

i1 : setRandomSeed 367;

i2 : R = QQ[x,y,z,w]

o2 = R

o2 : PolynomialRing

i3 : chernClass( minors(2,matrix{{x,y,z},{y,z,w}}), ResidualStrategy=>Symbolic)

       3     2
o3 = 2H  + 3H

     ZZ[H]
o3 : -----
        4
       H

Functions with optional argument named ResidualStrategy :

chernClass(..., ResidualStrategy => ...), see chernClass -- computes degrees of the Chern classes
chernClassList(..., ResidualStrategy => ...), see chernClassList -- degrees of Chern classes
CSMClass(..., ResidualStrategy => ...), see CSMClass -- computes degrees of the Chern-Schwartz-MacPherson classes
CSMClassList(..., ResidualStrategy => ...), see CSMClassList -- degrees of Chern-Schwartz-MacPherson classes
eulerChar(..., ResidualStrategy => ...), see eulerChar -- computes the topological Euler characteristic
segreClass(..., ResidualStrategy => ...), see segreClass -- Degrees of the Segre classes
segreClassList(..., ResidualStrategy => ...), see segreClassList -- computes degrees of the Segre classes

For the programmer

The object ResidualStrategy is a symbol.