Macaulay2 » Documentation
Packages » CodingTheory > EvaluationCode > vNumber
next | previous | forward | backward | up | index | toc

vNumber -- the v-number of a graded ideal

Synopsis

Description

Returns the v-number of a graded ideal I. This invariant is used to express the regularity index of the generalized minimum distance function of the ideal I on the parameter $r=1$ genMinDisIdeal. Moreover, the v-number has other combinatorial implications. More information about the v-number can be found in Definition 4.1 at https://arxiv.org/pdf/1812.06529v1.pdf.

i1 : K=ZZ/3;
i2 : R=K[t3,t2,t1,MonomialOrder=>Lex];
i3 : I=ideal(t1*t2^2-t1^2*t2,t1*t3^3-t1^3*t3,t2*t3^3-t2^3*t3);

o3 : Ideal of R
i4 : vNumber(I)

o4 = 3

Ways to use vNumber :

For the programmer

The object vNumber is a method function.