Symbolic algebras of monomial primes.
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Publication:5751004
DOI10.1515/crll.1991.416.71zbMath0719.14033OpenAlexW186383389MaRDI QIDQ5751004
Publication date: 1991
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002208458
Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15)
Related Items (33)
The total coordinate ring of a normal projective variety ⋮ Symbolic Rees Algebras ⋮ Depth Functions and Symbolic Depth Functions of Homogeneous Ideals ⋮ Explicit computations on symbolic powers of monomial curves in affine space ⋮ On finite generation of symbolic Rees rings of space monomial curves and existence of negative curves ⋮ Symbolic powers of monomial ideals and vertex cover algebras ⋮ Affine monomial curves ⋮ Some necessary and sufficient condition for finite generation of symbolic Rees rings ⋮ Some non-finitely generated Cox rings ⋮ Expected resurgence of ideals defining Gorenstein rings ⋮ Numerical Semigroup Rings of Maximal Embedding Dimension with Determinantal Defining Ideals ⋮ Examples of Non-finitely Generated Cox Rings ⋮ Expected resurgences and symbolic powers of ideals ⋮ Saturations of powers of certain determinantal ideals ⋮ Resurgences for ideals of special point configurations in \(\mathbb P^N\) coming from hyperplane arrangements ⋮ On resurgence via asymptotic resurgence ⋮ Equations of negative curves of blow-ups of Ehrhart rings of rational convex polygons ⋮ Blow-Ups of Toric Surfaces and the Mori Dream Space Property ⋮ Demazure construction for \(\mathbb{Z}^n\)-graded Krull domains ⋮ Asymptotic regularity of powers of ideals of points in a weighted projective plane ⋮ Mori Dream Spaces and blow-ups of weighted projective spaces ⋮ On a family of negative curves ⋮ On blowing up the weighted projective plane ⋮ Divisors on rational normal scrolls ⋮ Mori dreamness of blowups of weighted projective planes ⋮ On curves with high multiplicity on \(\mathbb{P}(a,b,c)\) for \(\min(a,b,c) \leq 4\) ⋮ Curves generating extremal rays in blowups of weighted projective planes ⋮ Infinitely generated symbolic Rees rings of space monomial curves having negative curves ⋮ Constructing non-Mori dream spaces from negative curves ⋮ Infinitely generated symbolic Rees algebras over finite fields ⋮ On the integral closures of certain ideals generated by regular sequences ⋮ Depth functions of symbolic powers of homogeneous ideals ⋮ \(\overline{M}_{0,n}\) is not a Mori dream space
Cites Work
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- The structure of certain ideal transforms
- Analytic spread modulo an element and symbolic Rees algebras
- Weil divisors on normal surfaces
- Hilbert functions and symbolic powers
- The topology of normal singularities of an algebraic surface and a criterion for simplicity
- On the finite generation of symbolic blow-ups
- On a generalization of complete intersections
- Some algebraicity criteria for singular surfaces
- Filtrations and Noetherian Symbolic Blow-Up Rings
- On the 14-th Problem of Hilbert
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