The iterated mapping over the relative resolution of Xe(a,b) in the resonance scroll has betti numbers in a range of a general 2k-gonal canonical curve of genus a+b+1, if a,b are large enough, see Remark 4.14 of [ES18]. We compute the minimal type (a,b) ≡(a1,b1) modk where this becomes true.
In the second version c is the minimal value of a,b’s for all congruence classes mod k. We conjecture that c=k2-k.
i1 : (a,b)=computeBound(6,4,3) o1 = (9, 7) o1 : Sequence |
i2 : computeBound 3
-- 0.0553822 seconds elapsed
-- 0.0789122 seconds elapsed
-- 0.0697576 seconds elapsed
-- 0.0942309 seconds elapsed
-- 0.124919 seconds elapsed
-- 0.102064 seconds elapsed
o2 = 6
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