The option InputIsSmooth is only used by the commands CSM, and Euler. If the input ideal is known to define a smooth subscheme setting this option to true will speed up computations (it is set to false by default).
i1 : R = ZZ/32749[x_0..x_4]; |
i2 : I=ideal(random(2,R),random(2,R),random(1,R)); o2 : Ideal of R |
i3 : time CSM I
-- used 0.706137 seconds
3
o3 = 4h
1
ZZ[h ]
1
o3 : ------
5
h
1
|
i4 : time CSM(I,InputIsSmooth=>true)
-- used 0.0516561 seconds
3
o4 = 4h
1
ZZ[h ]
1
o4 : ------
5
h
1
|
Note that one could, equivalently, use the command Chern instead in this case.
i5 : time Chern I
-- used 0.0505078 seconds
3
o5 = 4h
1
ZZ[h ]
1
o5 : ------
5
h
1
|
The object InputIsSmooth is a symbol.