Search Results - "Uwe Nagel"
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Equivariant Hilbert series of monomial orbits
Published in Proceedings of the American Mathematical Society (01-06-2018)“…The equivariant Hilbert series of an ideal generated by an orbit of a monomial under the action of the monoid {\textrm {Inc} (\mathbb{N})} of strictly…”
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SURVEY ARTICLE: A TOUR OF THE WEAK AND STRONG LEFSCHETZ PROPERTIES
Published in Journal of commutative algebra (01-09-2013)“…An artinian graded algebra, 𝐴, is said to have the weak Lefschetz property (WLP) if multiplication by a general linear form has maximal rank in every degree…”
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Monomial and toric ideals associated to Ferrers graphs
Published in Transactions of the American Mathematical Society (01-03-2009)“…Each partition \lambda = (\lambda _1, \lambda _2, \ldots , \lambda _n) determines a so-called Ferrers tableau or, equivalently, a Ferrers bipartite graph. Its…”
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The weak Lefschetz property for quotients by quadratic monomials
Published in Mathematica scandinavica (29-03-2020)“…Michałek and Miró-Roig, in J. Combin. Theory Ser. A 143 (2016), 66–87, give a beautiful geometric characterization of Artinian quotients by ideals generated by…”
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Algorithms for strongly stable ideals
Published in Mathematics of computation (01-09-2014)“…all strongly stable ideals with certain prescribed properties: the saturated strongly stable ideals with a given Hilbert polynomial, the almost lexsegment…”
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Monomial ideals, almost complete intersections and the Weak Lefschetz property
Published in Transactions of the American Mathematical Society (01-01-2011)“…Many algebras are expected to have the Weak Lefschetz property, although this is often very difficult to establish. We illustrate the subtlety of the problem…”
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The Weak and Strong Lefschetz properties for Artinian K-algebras
Published in Journal of algebra (01-04-2003)“…Let A=⊕ i⩾0 A i be a standard graded Artinian K-algebra, where char K=0. Then A has the Weak Lefschetz property if there is an element ℓ of degree 1 such that…”
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Computing Gröbner bases and free resolutions of OI-modules
Published in Journal of algebra (15-01-2025)“…Given a sequence of related modules Mn defined over a sequence of related polynomial rings, one may ask how to simultaneously compute a finite Gröbner basis…”
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Comparing Castelnuovo-Mumford regularity and extended degree: The borderline cases
Published in Transactions of the American Mathematical Society (01-09-2005)“…Castelnuovo-Mumford regularity and any extended degree function can be thought of as complexity measures for the structure of finitely generated graded…”
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Jacobian Schemes Arising From Hypersurface Arrangements in ℙ n
Published in International mathematics research notices (09-09-2024)“…Freeness is an important property of a hypersurface arrangement, although its presence is not well understood. A hypersurface arrangement in ${\mathbb{P}}^{n}$…”
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Shift invariant algebras, Segre products and regular languages
Published in Journal of algebra (01-10-2023)“…Motivated by results on the rationality of equivariant Hilbert series of some hierarchical models in algebraic statistics we introduce the Segre product of…”
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Extensions of the Multiplicity conjecture
Published in Transactions of the American Mathematical Society (01-06-2008)“…The Multiplicity conjecture of Herzog, Huneke, and Srinivasan states an upper bound for the multiplicity of any graded k-algebra as well as a lower bound for…”
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Extended degree functions and monomial modules
Published in Transactions of the American Mathematical Society (01-08-2006)“…The arithmetic degree, the smallest extended degree, and the homological degree are invariants that have been proposed as alternatives of the degree of a…”
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Factors affecting farmers’ acceptance of conservation measures—A case study from north-eastern Germany
Published in Land use policy (2010)“…Intensive forms of agriculture have been proven to cause severe environmental effects, such as soil erosion by water and wind, or the pollution of ground and…”
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Ordinary and symbolic Rees algebras for ideals of Fermat point configurations
Published in Journal of algebra (15-12-2016)“…Fermat ideals define planar point configurations that are closely related to the intersection locus of the members of a specific pencil of curves. These ideals…”
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Equivariant Hilbert series in non-noetherian polynomial rings
Published in Journal of algebra (15-09-2017)“…We introduce and study equivariant Hilbert series of ideals in polynomial rings in countably many variables that are invariant under a suitable action of a…”
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Arithmetically Buchsbaum divisors on varieties of minimal degree
Published in Transactions of the American Mathematical Society (01-11-1999)“…In this paper we consider integral arithmetically Buchsbaum subschemes of projective space. First we show that arithmetical Buchsbaum varieties of sufficiently…”
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A formula for symbolic powers
Published in Journal of algebra (15-11-2024)“…Let S be a Cohen-Macaulay ring which is local or standard graded over a field, and let I be an unmixed ideal that is generically a complete intersection. Our…”
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Schemes Supported on the Singular Locus of a Hyperplane Arrangement in ℙ n
Published in International mathematics research notices (07-01-2022)“…A hyperplane arrangement in $\mathbb P^n$ is free if $R/J$ is Cohen–Macaulay (CM), where $R = k[x_0,\dots ,x_n]$ and $J$ is the Jacobian ideal. We study the…”
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Even Liaison Classes Generated by Gorenstein Linkage
Published in Journal of algebra (15-11-1998)Get full text
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