polarizedCanonicalResolution -- computes the polarized canonical resolution

Usage:

polarizedCanonicalResolution(C)
Inputs:
- C, a NeuralCode
Outputs:
- a free resolution over polarizedRing(C)

Description

A method that computes the polarized canonical resolution of a neural code, i.e. the minimal free resolution of the ideal generated by its polarized canonical form. When depolarized, this gives the canonical resolution of Gunturkun, Jeffries, and Sun.

i1 : C=neuralCode({"00","10","01"});

i2 : polarizedCanonicalResolution(C)

      ZZ         1      ZZ         1
o2 = (--[x ..y ])  <-- (--[x ..y ])
       2  1   2          2  1   2
                        
     0                 1

o2 : Complex

Ways to use polarizedCanonicalResolution:

polarizedCanonicalResolution(NeuralCode)

For the programmer

The object polarizedCanonicalResolution is a method function.

The source of this document is in NeuralIdeals.m2:951:0.