Chara Pantazi

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Polynomial vector fields which admit a prescribed Darboux integrating factor are quite well-understood when the geometry of the underlying curve is nondegenerate. In the general setting morphisms of the affine plane may remove degeneracies of the curve, and thus allow more structural insight. In the present paper we establish some properties of integrating(More)
We certify that this dissertation has been done by Primitivo Belén Acosta-Humánez with our supervision and co-direction. iv Todo lo puedo en Cristo que me fortalece. Filipenses 4, 13. • My daughter Angie Marcela, princess and tenderness that maintains my life in calm. • My son Sergio Gabriel, friend and colleague that give me happiness every day.(More)
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