2019/01/19 by Yairon Cid‐Ruiz, Aron Simis, Cid-Ruiz, Yairon +1 · 1 citation
Computer Science · Mathematics · #13D02 #13D45 #13P99 #14E05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1901.06599
openalex publication_date 2019/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
One considers the behavior of the degree of a rational map under specialization of the coefficients of the defining linear system. The method rests on the classical idea of Kronecker as applied to the context of projective schemes and their specializations. For the theory to work one is led to develop the details of rational maps and their graphs when the ground ring of coefficients is a Noetherian integral domain.