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Symbolic Rees Algebras (Q5051884)

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scientific article; zbMATH DE number 7620543

Language	Label	Description	Also known as
English	Symbolic Rees Algebras	scientific article; zbMATH DE number 7620543

Statements

scholarly article

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Symbolic Rees Algebras (English)

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Alexandra Seceleanu

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Commutative Algebra

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publication date

18 November 2022

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full work available at URL

https://arxiv.org/abs/2012.01617

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zbMATH Keywords

symbolic powers

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symbolic Rees algebra

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containment problem

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A note on finite ring extensions

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Symbolic powers of edge ideals.

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Containment results for ideals of various configurations of points in \(\mathbb P^N\)

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A primer on Seshadri constants

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Negative Curves on Symmetric Blowups of the Projective Plane, Resurgences, and Waldschmidt Constants

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Comparing powers and symbolic powers of ideals

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The resurgence of ideals of points and the containment problem

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Asymptotic Stability of Ass(M/I n M)

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Symbolic Powers of Monomial Ideals

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A counterexample to the containment \(I^{(3)} \subset I^{2}\) over the reals

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Asymptotic growth of algebras associated to powers of ideals

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Demailly's conjecture on Waldschmidt constants for sufficiently many very general points in \(\mathbb{P}^n\)

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Symbolic algebras of monomial primes.

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On resurgence via asymptotic resurgence

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Symbolic powers of ideals

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Formules de Jensen en plusieurs variables et applications arithmétiques

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Asymptotic invariants of ideals with Noetherian symbolic Rees algebra and applications to cover ideals

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Calculations involving symbolic powers

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Symbolic blowup algebras and invariants associated to certain monomial curves in P3

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SYMBOLIC ANALYTIC SPREAD: UPPER BOUNDS AND APPLICATIONS

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Singular loci of reflection arrangements and the containment problem

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Counterexamples to the \(I^{(3)}\subset I^2\) containment

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A containment result in 𝑃ⁿ and the Chudnovsky Conjecture

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Containments of symbolic powers of ideals of generic points in $\mathbb {P}^3$

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A Nullstellensatz with nilpotents and Zariski's Main Lemma on holomorphic functions

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Symbolic powers of monomial curves

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Uniform bounds and symbolic powers on smooth varieties

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Sur une minoration du degré d'hypersurfaces s'annulant en certains points

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The Frobenius complexity of a local ring of prime characteristic

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Chudnovsky's conjecture for very general points in \(\mathbb{P}_k^N\)

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Constructing non-Mori dream spaces from negative curves

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On a family of negative curves

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Curves generating extremal rays in blowups of weighted projective planes

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Symbolic Powers of Ideals Defining F-pure and Strongly F-regular Rings

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Expected resurgences and symbolic powers of ideals

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Matroid configurations and symbolic powers of their ideals

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On the structure of Noetherian symbolic Rees algebras

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Asymptotic resurgences for ideals of positive dimensional subschemes of projective space

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Some non-finitely generated Cox rings

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Examples of Non-finitely Generated Cox Rings

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Non-Cohen-Macaulay Symbolic Blow-ups for Space Monomial Curves

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Symbolic power containments in singular rings in positive characteristic

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Topics on symbolic Rees algebras for space monomial curves

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Non-Cohen-Macaulay Symbolic Blow-Ups for Space Monomial Curves and Counterexamples to Cowsik's Question

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A stable version of Harbourne's conjecture and the containment problem for space monomial curves

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Mori Dream Spaces and blow-ups of weighted projective spaces

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Generators and relations of abelian semigroups and semigroup rings

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Comparison of symbolic and ordinary powers of ideals.

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Are symbolic powers highly evolved?

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Symbolic powers of monomial ideals and vertex cover algebras

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Uniform symbolic topologies in abelian extensions

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Uniform equivalence of symbolic and adic topologies

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Uniform symbolic topologies and finite extensions

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Criteria for equality of ordinary and symbolic powers of primes

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Containment counterexamples for ideals of various configurations of points in \(\mathbb{P}^N\)

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Self-linked curve singularities

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Powers of Elements and Monomial Ideals<sup>#</sup>

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On the finite generation of symbolic blow-ups

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The primary components of and integral closures of ideals in 3-dimensional regular local rings

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Hilbert functions and symbolic powers

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New phenomena in the containment problem for simplicial arrangements

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Multiplicities of Monomial Space Curves with Non-Noetherian Symbolic Blowups

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On finite generation of symbolic Rees rings of space monomial curves and existence of negative curves

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On the symbolic rees ring of a primary ideal

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Positive characteristic finite generation of symbolic Rees algebras and Roberts' counterexamples to the fourteenth problem of Hilbert

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On the arithmetical rank of monomial ideals

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Combinatorics of symbolic Rees algebras of edge ideals of clutters

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Asymptotic Prime Divisors and Analytic Spreads

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Asymptotic prime divisors

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Noetherian symbolic blow-ups

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Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers

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On codimension two flats in Fermat-type arrangements

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On a conjecture of Demailly and new bounds on Waldschmidt constants in \(\mathbb{P}^N\)

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On the 14-th Problem of Hilbert

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Ordinary and symbolic Rees algebras for ideals of Fermat point configurations

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On a problem of Zariski

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GENERATION OF SYMBOLIC BLOW-UPS OF MONOMIAL SPACE CURVES IN DEGREE FOUR

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Generation in Degree Four of Symbolic Blowups of Self-Linked Monomial Space Curves

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A Prime Ideal in a Polynomial Ring Whose Symbolic Blow-up is Not Noetherian

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An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hilbert's fourteenth problem

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Primary powers of a prime ideal

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Symbolic Powers of Prime Ideals and Their Topology

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Finiteness of Relative REES Rings and Asymptotic Prime Divisors

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Filtrations and Noetherian Symbolic Blow-Up Rings

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Multi-symbolic Rees algebras and strong F-regularity

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On finite generation of symbolic algebras of monomial primes

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Infinitely generated symbolic Rees algebras over finite fields

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Linear equivalence of ideal topologies

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Rational singularities and uniform symbolic topologies

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A fundamental lemma from the theory of holomorphic functions on an algebraic variety

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-89694-2_11

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5051884

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