Filtrations and Noetherian Symbolic Blow-Up Rings

DOI10.2307/2047316zbMath0656.13014OpenAlexW4251483557MaRDI QIDQ3803230

Peter Schenzel

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047316

zbMATH Keywords

analytic spreadregular local ringsymbolic blow-upNoetherian filtration

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items

Symbolic Rees Algebras ⋮ Ordinary and symbolic Rees algebras for ideals of Fermat point configurations ⋮ All fat point subschemes in \(\mathbb{P}^2\) with the Waldschmidt constant less than 5/2 ⋮ Ring-theoretic properties of commutative algebras of invariants. ⋮ Symbolic Rees algebras and set-theoretic complete intersections ⋮ On the structure of Noetherian symbolic Rees algebras ⋮ Asymptotic resurgences for ideals of positive dimensional subschemes of projective space ⋮ Notes on projectively related ideals and residual division ⋮ Noetherian symbolic blow-ups ⋮ Combinatorics of a certain ideal in the Segre coordinate ring ⋮ Symbolic algebras of monomial primes. ⋮ Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals

Cites Work

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• On a problem of Zariski
• On the finite generation of symbolic blow-ups
• Noetherian property of symbolic Rees algebras
• Lectures on the fourteenth problem of Hilbert
• A Prime Ideal in a Polynomial Ring Whose Symbolic Blow-up is Not Noetherian
• Finiteness of Relative REES Rings and Asymptotic Prime Divisors