2020/07/25 by Marc Chardin, Chardin, M., Seyed Hamid Hassanzadeh +3
Computer Science · Mathematics · #13A30 #13D02 #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.2007.13017
openalex publication_date 2020/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
One proves a far-reaching upper bound for the degree of a generically finite rational map between projective varieties over a base field of arbitrary characteristic. The bound is expressed as a product of certain degrees that appear naturally by considering the Rees algebra (blowup) of the base ideal defining the map. Several special cases are obtained as consequences, some of which cover and extend previous results in the literature.