Results 71 to 80 of about 315,833 (178)
Canonical reduction for quadratic quotients of the Rees algebra. [PDF]
, 2019 In this paper, we characterize when a quadratic quotient of the Rees algebra, obtained starting with a one-dimensional local ring, has a canonical reduction, generalizing a similar result obtained for Nagata ...
Frigenti, Fabio
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Rees algebras of truncations of complete intersections
Journal of Algebra, 2014 In this paper we describe the defining equations of the Rees algebra and the special fiber ring of a truncation I of a complete intersection ideal in a polynomial ring over a field with homogeneous maximal ideal m. To describe explicitly the Rees algebra R(I) in terms of generators and relations we map another Rees ring R(M) onto it, where M is the ...
Lin, Kuei-Nuan, Polini, Claudia
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Letter to Thomas Rees from his son Willard Hall Rees [PDF]
, 1871 Letter to Thomas Rees from his son Willard Hall Rees. A short letter was written to Thomas Rees from his son regarding his potential pay raise in the upcoming week.
Rees, Willard Hall
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Cohen–Macaulay Multi–Rees Algebras [PDF]
Compositio Mathematica, 2002 Let A be a local ring, and let I 1 ,…, I r ⊂ A be ideals of positive height.
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André-Quillen homology of Rees algebras and extended Rees algebras
Let $(A,\mathfrak{m})$ be an excellent local complete intersection ring and let $I = (a_1, \ldots, a_r)$ be an ideal of positive height. Let $\mathcal{R}(I) = A[It]$ be the Rees algebra of $I$. Consider the map $ψ\colon S = A[X_1, \ldots, X_r] \rightarrow \mathcal{R}(I)$ which maps $X_i \mapsto a_it$ for all $i$.
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On Rees Algebras with a Gorenstein Veronese Subring
Journal of Algebra, 1998 Let \((A,m)\) be a noetherian local ring and \(I\) an ideal of \(A\). In this paper, the authors study the relationship between the properties of the graded rings \(R(I)=\bigoplus_{n\geq 0}I^n\) and \(G(I)=\bigoplus_{n\geq 0}I^n/I^{n+1}\) associated to \(I\) (especially, the structure of their canonical modules) and the vanishing property of their ...
Herrmann, M, Hyry, E, Korb, T
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A note on the Rees algebra of a bipartite graph [PDF]
, 2005 Let R=K[x1,…,xn] be a polynomial ring over a field K and let I be an ideal of R generated by a set xα1,…,xαq of square-free monomials of degree two such that the graph G defined by those monomials is bipartite.
Villarreal, Rafael H. +2 more
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Matroid connectivity and singularities of configuration hypersurfaces. [PDF]
Lett Math Phys, 2021 Denham G, Schulze M, Walther U.
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Benefits, challenges, and usability evaluation of DeloreanJS: a back-in-time debugger for JavaScript. [PDF]
PeerJ Comput Sci, 2023 Leger P, Ruiz F, Fukuda H, Cardozo N.
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On Rees algebras of linearly presented ideals in three variables
, 2017 Let I be a height two perfect ideal with a linear presentation matrix in a polynomial ring R=k[x,y,z]. Assume furthermore that after modulo an ideal generated by two variables, the presentation matrix has rank one.
Lan N.P.H.
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