Results 11 to 20 of about 270,049 (304)
On ideals generated by a-fold products of linear forms [PDF]
Journal of Commutative Algebra, 2021 Let $\mathbb K$ be a field of characteristic 0. Given $n$ linear forms in $R=\mathbb K[x_1,\ldots,x_k]$, with no two proportional, in one of our main results we show that the ideal $I\subset R$ generated by all $(n-2)$-fold products of these linear forms has linear graded free resolution.
Stefan O Tohaneanu
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Orbits of monomials and factorization into products of linear forms [PDF]
CoRR, 2018 This paper is devoted to the factorization of multivariate polynomials into products of linear forms, a problem which has applications to differential algebra, to the resolution of systems of polynomial equations and to Waring decomposition (i.e., decomposition in sums of d-th powers of linear forms; this problem is also known as symmetric tensor ...
Pascal Koiran, Nicolas Ressayre
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Fano schemes for generic sums of products of linear forms [PDF]
Journal of Algebra and Its Applications, 2019 We study the Fano scheme of [Formula: see text]-planes contained in the hypersurface cut out by a generic sum of products of linear forms. In particular, we show that under certain hypotheses, linear subspaces of sufficiently high dimension must be contained in a coordinate hyperplane.
Ilten, Nathan Owen, Süß, Hendrik
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SUBSPACE ARRANGEMENTS DEFINED BY PRODUCTS OF LINEAR FORMS [PDF]
Journal of the London Mathematical Society, 2005 We consider the vanishing ideal of an arrangement of linear subspaces in a vector space and investigate when this ideal can be generated by products of linear forms. We introduce a combinatorial construction (blocker duality) which yields such generators in cases with a lot of combinatorial structure, and we present the examples that motivated our work.
Jessica Sidman, Irena Peeva
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Linear differential equations and products of linear forms
Journal of Pure and Applied Algebra, 1997 Let \( L(y)=0 \) be an \( n\)th-order linear differential equation over a differential field \( k \) of characteristic \( 0 \) whose field of constants \( {\mathcal C }\) is algebraically closed, and let \( G \) be its Galois group. In order to improve their algorithm for computing Liouvillian solutions of \( L\), the authors study solutions whose ...
Michael Singer, Felix Ulmer
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Products of linear forms and Tutte polynomials
European Journal of Combinatorics, 2010 Let Δbe a finite sequence of n vectors from a vector space over any field. We consider the subspace of \operatorname{Sym}(V) spanned by \prod_{v \in S} v, where S is a subsequence of Δ. A result of Orlik and Terao provides a doubly indexed direct sum of this space. The main theorem is that the resulting Hilbert series is the Tutte polynomial evaluation
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On the apolar algebra of a product of linear forms [PDF]
Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation, 2020 Apolarity is a important tool in commutative algebra and algebraic geometry which studies a form, f, by the action of polynomial differential operators on f. The quotient of all polynomial differential operators by those which annihilate f is called the apolar algebra of f.
Michael DiPasquale +2 more
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Lisan Al-Hal: Jurnal Pengembangan Pemikiran dan Kebudayaan, 2022 Along with the increasing circulation of halal products on the Indonesian market, which causes an increase in public interest in consuming halal products, there are several influencing factors.
Anis Setyowati, Moch. Khoirul Anwar
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Advances in Materials Science and Engineering, 2022 The utilization of cement waste forms with high content of fly ash is a potential method in large-volume immobilization of low- and intermedium-level radioactive waste at near-surface.
Zhao Zheng +4 more
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COMPUTING CODIMENSIONS AND GENERIC CANONICAL FORMS FOR GENERALIZED MATRIX PRODUCTS [PDF]
, 2011 A generalized matrix product can be formally written as A sp p A sp−1 p−1 · · ·A s2 2 A s1 1, where si ∈ {−1,+1} and (A1,..., Ap) is a tuple of (possibly rectangular) matrices of suitable dimensions.
Kressner, Daniel +5 more
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