Keywords: 14C20; 14F17; 13D40; 14N05; Postulation problems; Fat flats; Hilbert functions; Serre vanishing;
مقالات ISI (ترجمه نشده)
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Keywords: 13A30; 13B22; 13B24; 13B30; 13D40; 13E05; 13H10; Hilbert functions; Hilbert coefficients; Associated graded rings; Rees algebras; Sally modules; Normal filtrations; Serre condition;
Keywords: primary; 13D40; Hilbert-Samuel polynomial; Hilbert coefficients; Local cohomology module;
Keywords: Primary; 13D40; secondary; 13H10; 14C20;
Keywords: primary; 13E10; 13H10; 13C40; secondary; 13D40; 13A02; Weak Lefschetz property; Artinian algebra; Gorenstein algebra; Complete intersection;
Keywords: 13D02; 13D40;
Keywords: primary; 13D40; secondary; 14C05; Gotzmann's persistence theorem; Quot scheme; Fitting ideals; Finite modules;
Keywords: 13D02; 13D40; 16S30; 16S37; Golod modules; Massey products; Fibre products;
Keywords: 13D45; 13A30; 13D40; 13E05; Multigraded filtrations; Multigraded regularity; Joint reductions; Complete reductions; Local cohomology modules; Filter-regular sequence; Multi-Rees algebra; Associated multigraded ring; Postulation vectors;
Keywords: primary; 13H15; 13D40; secondary; 14C17; 13D25; Multiplicity; System of parameters; Rees ring; Local Bezout inequality; Blowing up; Euler characteristic;
Keywords: 13D40; 14H60; 14J60; 13H15; Hilbert-Kunz density; Hilbert-Kunz multiplicity; Hilbert-Samuel polynomial;
Keywords: primary; 13D40; secondary; 13A30; Hilbert coefficients; Complete intersection; Blow-up algebra's;
Keywords: 13D40; 05E40Generating function; Finitely generated module; Hilbert series; Graded polynomial ring
Keywords: 13D40; 14C05;
Keywords: 13D40; 13H15; 13H10; Hilbert function; Hilbert coefficient; Homological degrees;
Keywords: 13D40; 13H15; 13B22
Keywords: 13D40; 13H15; 13H10
Keywords: 13D40; 13A02; 13N05;
Keywords: Primary; 13D40; Secondary; 13H10; 14C20;
Keywords: 13D40; 16W50; 20M99; Commutative graded ring; Hilbert series; Numerical semigroup; Finitely generated module; Hilbert depth;
Keywords: 13A35; 13A50; 13C14; 13D02; 13D40; 14J17; 14J60; 20G05ADE singularity; Hilbert–Kunz function; Vector bundle; Frobenius; Hilbert-series; Syzygy module; Matrix factorization; Maximal Cohen–Macaulay
Embeddings of canonical modules and resolutions of connected sums
Keywords: Primary; 13D02; 13D40; 13H10; 20C30; secondary; 13F55;
Poincaré series of fiber products and weak complete intersection ideals
Keywords: 13D02; 13D40; 13H10; Local ring; Weak complete intersection; Poincaré series; Golod homomorphism; Golod ring; Fiber product;
Kähler differential algebras for 0-dimensional schemes
Keywords: primary; 13N05; secondary; 13D40; 14N05; Kähler differential algebra; 0-Dimensional scheme; Fat point scheme; Regularity index; Hilbert function;
Poincaré series of compressed local Artinian rings with odd top socle degree
Keywords: 13D02; 13D40; 13D07; 13E10; 13A02; 16E45; Compressed ring; Differential graded algebra; Generic algebra; Golod homomorphism; Grassmannian; Homology algebra of the Koszul complex; Koszul homology; Poincaré series; Socle; Trivial Massey operation;
The regularity index of up to 2n â 1 equimultiple fat points of Pn
Keywords: Primary; 13D40; secondary; 14C20;
Hilbert functions of Cox rings of del Pezzo surfaces
Keywords: 14J26; 13D40; 13D02; Del Pezzo surface; Cox ring; Syzygy; Hilbert function;
Arithmetic behaviour of Frobenius semistability of syzygy bundles for plane trinomial curves
Keywords: 13D40; 14H60; 14J60; 13H15; Taxicab distance; Hilbert-Kunz multiplicity; Characteristic 0; Semistability; Frobenius semistability and strong semistability; Harder-Narasimhan filtration;
Nonunimodal Gorenstein sequences of higher socle degrees
Keywords: primary; 13D40; secondary; 13H10; 14C20; Gorenstein h-vectors; Trivial extensions; Nonunimodal h-vectors;
Degrees of multiplicity functions for equimultiple ideals
Keywords: 13D40; 13H15; 13B22; Integral closure of ideals; Equimultiple ideals; Multiplicities; S2-ification; Coefficient ideals;
Harbourne, Schenck and Seceleanu's Conjecture
Keywords: primary; 13D02; 13C13; 13C40; 13D40; Weal Lefschetz property; Powers of linear forms; Artinian algebras;
Minimal free resolutions for subschemes of star configurations
Keywords: 13H10; 14N20; 13D40;
Hilbert–Kunz functions of a Hirzebruch surface
Keywords: 13D40; 14H60; 13H15Hirzebruch surface; Hilbert–Kunz multiplicity; Hilbert–Kunz function
Tower sets and other configurations with the Cohen-Macaulay property
Keywords: 13H10; 14N20; 13D40;
A sufficient condition for F-purity
Keywords: 13A35; 13D40
The Hilbert function of a maximal Cohen-Macaulay module. Part II
Keywords: Primary; 13A30; secondary; 13D40; 13D07;
Local cohomology of bigraded Rees algebras and normal Hilbert coefficients
Keywords: Primary; 13D45; 13D40; secondary; 13A30; 14H20;
The alpha problem & line count configurations
Keywords: 13D40; 14C99; 14Q99; 05E40; Hilbert functions; Fat points; Initial degrees;
Ordinary and symbolic powers are Golod
Keywords: 13A02; 13D40; Powers of ideals; Golod rings; Koszul cycles;
On the uniformity of zero-dimensional complete intersections
Keywords: 14M10; 13D40; 14N05; Complete intersection; Cayley-Bacharach Theorem; Zero-dimensional scheme; Minimal distance; Generalized Reed-Muller code;
Enumerative g-theorems for the Veronese construction for formal power series and graded algebras
Keywords: 05E40; 13A02; 13D40; 13F55; Veronese algebra; Rational power series; f-Vector; g-Theorem; Edgewise subdivision;
FF-signature of pairs and the asymptotic behavior of Frobenius splittings
Keywords: 13A35; 13D40; 14B05; 13H10FF-signature; Cartier algebra; FF-pure; FF-regular; Splitting prime; FF-splitting ratio
A Grothendieck module with applications to Poincaré rationality
Keywords: 13D02; 13D40;
Forcing the strong Lefschetz and the maximal rank properties
Keywords: Primary; 13D40; secondary; 13E10;
Minimal free resolution of the associated graded ring of monomial curves of generalized arithmetic sequences
Keywords: 13A30; 13D02; 13D40
Growth conditions for a family of ideals containing regular sequences
Keywords: 13C40; 13D40;
The minimal resolutions of double points in P1×P1P1×P1 with ACM support
Keywords: 13D40; 13D02; 13H10; 14A15
Ratliff–Rush filtration, regularity and depth of higher associated graded modules: Part I
Keywords: primary; 13A30; secondary; 13D40; 13D07; 13D45
Some geometric results arising from the Borel fixed property
Keywords: 13D40; 14M05; 13C05; 13P10
Artinian level modules of embedding dimension two
Keywords: 13C05; 13H10; 13D40;