Multiplicities of Monomial Space Curves with Non-Noetherian Symbolic Blowups

DOI10.1080/00927872.2014.939757zbMath1338.13011OpenAlexW1594503497MaRDI QIDQ3448289

Michael E. Reed, Mark R. Johnson

Publication date: 23 October 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2014.939757

zbMATH Keywords

multiplicitysymbolic Rees algebraspace monomial curve

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Regular local rings (13H05)

Related Items

Symbolic Rees Algebras

Cites Work

• An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hilbert's fourteenth problem
• Hilbert functions and symbolic powers
• The Gorensteinness of symbolic Rees algebras for space curves
• Multiplicities associated to graded families of ideals
• On a transform of an acyclic complex of length 3
• On finite generation of symbolic Rees rings of space monomial curves and existence of negative curves
• On finite generation of symbolic algebras of monomial primes
• Asymptotic Behavior of the Length of Local Cohomology
• Generation in Degree Four of Symbolic Blowups of Self-Linked Monomial Space Curves
• GENERATION OF SYMBOLIC BLOW-UPS OF MONOMIAL SPACE CURVES IN DEGREE FOUR