Listar MAT_Articles por autoría "5edc2875-4964-4324-bcb2-b8d90b40f91b"
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Algebraic integrability of planar polynomial vector fields by extension to Hirzebruch surfaces
Galindo, Carlos; Monserrat, Francisco; Pérez-Callejo, Elvira Springer Nature (2022-09-18)We study algebraic integrability of complex planar polynomial vector fields X=A(x,y)(∂/∂x)+B(x,y)(∂/∂y) through extensions to Hirzebruch surfaces. Using these extensions, each vector field X determines two infinite families ... -
On the Degree of Curves with Prescribed Multiplicities and Bounded Negativity
Galindo, Carlos; Moreno Ávila, Carlos Jesús; Pérez-Callejo, Elvira; Montserrat Delpalillo, Francisco José Oxford University Press (2022-07-28)We provide a lower bound on the degree of curves of the projective plane P2 passing through the centers of a divisorial valuation ν of P2 with prescribed multiplicities, and an upper bound for the Seshadri-type constant ...