Symbolic powers of prime ideals with applications to hypersurface rings

DOI10.1017/S002776300000132XzbMath0646.13002MaRDI QIDQ3789662

Sam Huckaba

Publication date: 1989

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

hypersurface ringsanalytic spreadassociated graded ringprime idealsymbolic power

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Relevant commutative algebra (14A05)

Related Items

Asymptotic prime ideals of \(S_{2}\)-filtrations ⋮ Uniform symbolic topologies and finite extensions ⋮ On complete d-sequences and the defining ideals of Rees algebras ⋮ Uniform equivalence of symbolic and adic topologies ⋮ Analytic spread modulo an element and symbolic Rees algebras

Cites Work

• Pathology in divisor class groups of hypersurfaces
• The primary components of and integral closures of ideals in 3-dimensional regular local rings
• On linear equivalence of the P-adic and P-symbolic topologies
• On asymptotic prime divisors
• On the finite generation of symbolic blow-ups
• Criteria for equality of ordinary and symbolic powers of primes
• The topology determined by the symbolic powers of primary ideals
• Symbolic powers of prime ideals and special graded algebras
• Remarks on lifting of Cohen-Macaulay property