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HyperplaneArrangements :: lct

lct -- Compute the log-canonical threshold of an arrangement

Synopsis

Description

The log-canonical threshold of A defined by a polynomial f is the least number c for which the multiplier ideal J(f^c) is nontrivial.

Let's consider Example 6.3 of Berkesch and Leykin from arXiv:1002.1475v2:

i1 : R := QQ[x,y,z];
i2 : A := arrangement ((x^2 - y^2)*(x^2 - z^2)*(y^2 - z^2)*z);
i3 : lct A

     3
o3 = -
     7

o3 : QQ
note that A is allowed to be a multiarrangement.

See also

Ways to use lct :

For the programmer

The object lct is a method function.