The Rees Algebra of a monomial plane parametrization. (September 2015)

• Record Type: Journal Article
• Authors: Cortadellas Benítez, Teresa; D'Andrea, Carlos
• Is Part Of: Journal of symbolic computation. Volume 70(2015)
• Page Start: 71
• Page End: 105
• Publication Date: 2015-09
• Subjects: primary 13A30 -- secondary 05E45 14H50; Monomial parametrizations -- Plane curves -- Rees Algebras -- Adjoints; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2014.09.026
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: 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.