#15239: Nondegeneracy for subschemes of toric varieties
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Reporter: vbraun | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.4
Component: algebraic | Resolution:
geometry | Merged in:
Keywords: | Reviewers:
Authors: Volker Braun | Work issues:
Report Upstream: N/A | Commit:
Branch: | f885028d7ab463ff6e870ffa1ff61558304a5986
u/vbraun/is_nondegenerate | Stopgaps:
Dependencies: |
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Comment (by kedlaya):
Replying to [comment:9 chapoton]:
> The example in the given reference is instead
> {{{
> g0 =z1^3 + z2^6 +z3^4
> g = g0-2*z3^2*z0^6+z2*z0^10+z0^12
> }}}
> so the test in comment:6 is not a correct one.
Here's a corrected test indicating the problem:
{{{
sage: X = toric_varieties.WP([1,4,2,3], names='z0 z1 z2 z3')
sage: X.inject_variables()
Defining z0, z1, z2, z3
sage: g0 =z1^3 + z2^6 +z3^4
sage: g = g0-2*z3^2*z0^6+z2*z0^10+z0^12
sage: hyp = X.subscheme([g])
sage: hyp.is_nondegenerate() # Should return False per Hamm
True
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/15239#comment:10>
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