Vol. 32 Núm. 64 (2023)
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Meromorphic functions on germs of surfaces along a rational curve
(Pontificia Universidad Católica del PerúPE, 2023-12-29)We give examples of germs of surfaces containing a rational curve with positive self-intersection and with zero, one or two independent meromorphic functions. -
Categoría de una aplicación y análisis no lineal
(Pontificia Universidad Católica del PerúPE, 2023-12-29)A classic problem in analysis is to solve nonlinear equations of the form F (x) = 0, where F : Dn → Rm is a continuous map of the closed unit disk Dn ⊂ Rn in Rm. A topological technique, which exists in the literature, ... -
Solución de sistemas lineales singulares basada en minimización
(Pontificia Universidad Católica del PerúPE, 2023-12-29)This article introduces a new concept of solution of a linear singular system (descriptor system), based on minimization. It is shown that, by imposing a hypothesis on the matrices of the descriptor system, the minimization-based ...