#18443: Multiplier spectra for projective morphisms
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Reporter: gjorgenson | Owner:
Type: enhancement | Status: needs_work
Priority: minor | Milestone: sage-6.8
Component: algebraic | Resolution:
geometry | Merged in:
Keywords: | Reviewers: Ben Hutz
Authors: Grayson Jorgenson | Work issues:
Report Upstream: N/A | Commit:
Branch: | 71d1123d488ff029e34f50600554aa4fd5be32cd
u/gjorgenson/ticket/18443 | Stopgaps:
Dependencies: #18409 |
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Comment (by gjorgenson):
I thought getting [1,1] back was messing up the resulting elementary
symmetric polynomial. For the other {{{x^2 + c}}}, the formal 2-multiplier
spectra consists of one multiplier and so there is only one elementary
symmetric polynomial, {{{sigma_{1}^{(2)} = sigma_2 + 4}}}. For {{{x^2 -
3/4}}}, if we use [1,1] we have an extra multiplier, and
{{{sigma_{1}^{(2)} = 1+1 = 2}}} when we expect {{{sigma_{1}^{(2)} =
sigma_2 + 4 = 1}}}.
I was thinking that it might be better to treat the doubled fixed point as
a single 2-cycle so that we only get one multiplier. Would that work?
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Ticket URL: <http://trac.sagemath.org/ticket/18443#comment:12>
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