2013/11/21 by Teresa Cortadellas Benítez, Benitez, Teresa Cortadellas, Carlos D’Andrea +1
Computer Science · Mathematics · #14H50 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Primary: 13A30 #Primary: 13A30 Secondary: 05E45
paper · pdf · doi:10.48550/arxiv.1311.5488
openalex publication_date 2013/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We compute a minimal bigraded resolution of the Rees Algebra associated to a proper rational parametrization of a monomial plane curve. We describe explicitly both the bigraded Betti numbers and the maps of the resolution in terms of a generalized version of the Euclidean Algorithm. We also explore the relation between pencils of adjoints of the monomial plane curve and elements in a suitable piece of the defining ideal of the Rees Algebra.