Listar por autoría "1ed19af9-3c43-46a7-af4d-c4c239bf6301"
Mostrando ítems 1-5 de 5
-
Newton–Okounkov Bodies of Exceptional Curve Plane Valuations Non-positive at Infinity
Galindo, Carlos; Montserrat Delpalillo, Francisco José; Moyano-Fernández, Julio José; Nickel, Matthias Springer (2018-11-04)In this note we announce a result determining the Newton–Okounkov bodies of the line bundle OP2(1) with respect to exceptional curve plane valuations non-positive at infinity. -
On the computation of Darboux first integrals of a class of planar polynomial vector fields
Ferragut, Antoni; Galindo, Carlos; Montserrat Delpalillo, Francisco José Elsevier (2019-05)We study the class of planar polynomial vector fields admitting Darboux first integrals of the type I I r i=1 fiαi , where the αi 's are positive real numbers and the fi 's are polynomials defining curves with only one ... -
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 ... -
The Poincaré Polynomial of a Linear Code
Galindo, Carlos; Hernando, Fernando; Montserrat Delpalillo, Francisco José; Pellikaan, Ruud Springer (2018-09-19)We introduce the Poincaré polynomial of a linear q-ary code and its relation to the corresponding weight enumerator. The question of whether the Poincaré polynomial is a complete invariant is answered affirmatively for ... -
The Poincaré problem, algebraic integrability and dicritical divisors
Galindo, Carlos; Montserrat Delpalillo, Francisco José (2015-07-01)We solve the Poincaré problem for plane foliations with only one dicritical divisor. Moreover, in this case, we give a simple algorithm that decides whether a foliation has a rational first integral and computes it in the ...