A theorem about Cremona maps and symbolic Rees algebras

DOI10.1142/S0218196714500532zbMath1314.13008arXiv1407.6443MaRDI QIDQ5175608

Barbara Costa, Zaqueu Ramos, Aaron Simis

Publication date: 24 February 2015

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6443

zbMATH Keywords

Cohen-Macaulaysymbolic Rees algebraCremona map

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Birational automorphisms, Cremona group and generalizations (14E07) Rational and birational maps (14E05) Syzygies, resolutions, complexes and commutative rings (13D02) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (3)

Linearly presented perfect ideals of codimension 2 in three variables ⋮ Bounds on degrees of birational maps with arithmetically Cohen-Macaulay graphs ⋮ Asymptotic resurgence via integral closures

Cites Work

• Unnamed Item
• Unnamed Item
• Symbolic powers of perfect ideals of codimension 2 and birational maps
• A characteristic-free criterion of birationality
• Cremona maps defined by monomials
• Symbolic powers of monomial ideals and vertex cover algebras
• Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian
• Cohen-Macaulay Rees algebras and degrees of polynomial relations
• Plane Cremona maps: saturation and regularity of the base ideal
• Cremona transformations and some related algebras
• New constructions of Cremona maps
• Codimension, multiplicity and integral extensions
• Combinatorics of Cremona monomial maps
• On catalecticant perfect ideals of codimension 2
• Jacobian Dual Fibrations
• Specialization of Cremona transformations
• Geometry of the plane Cremona maps

This page was built for publication: A theorem about Cremona maps and symbolic Rees algebras