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A survey of the Poincaré Center Problem in degree 3 using finite field heuristics
survey Poincaré Center Problem degree 3
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2011/2/21
We compare a heuristic count of components of the center variety in degree 3 with the equivalent count obtained from known families.From this comparison we conjecture that more than 100 unknown compon...
Smooth hypersurface sections containing a given subscheme over a finite field
Smooth hypersurface sections given subscheme finite field
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2011/1/17
et Fq be a finite field of q = pa elements. Let X be a smooth quasi-projective subscheme
of Pn of dimension m ≥ 0 over Fq. N. Katz asked for a finite field analogue of the Bertini
smoothness theorem...