Zobrazeno 1 - 10
of 1 363
pro vyhledávání: '"Hilbert series and Hilbert polynomial"'
Autor:
Edoardo Ballico
We study the multigraded Hilbert function of general configurations of lines in multiprojective spaces. In several cases we prove that this multigraded Hilbert function is the expected one. We make conjectures about other configurations and for small
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1db36b34fa42f7aa86f2a5893858b2b5
https://hdl.handle.net/11572/371967
https://hdl.handle.net/11572/371967
Autor:
Pham Hung Quy, Van Duc Trung
Publikováno v:
Journal of Algebra. 587:555-568
Let $(R, \frak m)$ be a generalized Cohen-Macaulay local ring of dimension $d$, and $f_1, \ldots, f_r$ a part of system of parameters of $R$. In this paper we give explicit numbers $N$ such that the lengths of all lower local cohomology modules and t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2fe81a43f30f4ab576c722ca3634eccb
https://doi.org/10.1016/j.jalgebra.2021.08.007
https://doi.org/10.1016/j.jalgebra.2021.08.007
Autor:
Nasrin Altafi
Publikováno v:
Proceedings of the American Mathematical Society. 150:499-513
We prove that a sequence $h$ of non-negative integers is the Hilbert function of some Artinian Gorenstein algebra with the strong Lefschetz property if and only if it is an SI-sequence. This generalizes the result by T. Harima which characterizes the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf8555df26d3a897272c602651a8bce2
https://doi.org/10.1090/proc/15676
https://doi.org/10.1090/proc/15676
Autor:
Alan Sola, Meredith Sargent
Publikováno v:
Proceedings of the American Mathematical Society. 149:5321-5330
We obtain closed expressions for weighted orthogonal polynomials and optimal approximants associated with the function f ( z ) = 1 − 1 2 ( z 1 + z 2 ) f(z)=1-\frac {1}{\sqrt {2}}(z_1+z_2) and a scale of Hilbert function spaces in the unit 2 2 -ball
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::439ef90a43b924eea3fcb5fc76f18b1d
https://doi.org/10.1090/proc/15641
https://doi.org/10.1090/proc/15641
Publikováno v:
Journal of Mathematical Sciences. 257:662-672
We consider an abstract radial Hilbert function spaces H stable under division and find a necessary condition for the existence of unconditional bases of reproducing kernels in terms of sequences.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b74942a85d1ed5f1c3ce4e403e1a47df
https://doi.org/10.1007/s10958-021-05508-x
https://doi.org/10.1007/s10958-021-05508-x
Publikováno v:
Designs, Codes and Cryptography. 89:1367-1403
The aim of this work is to study the dual and the algebraic dual of an evaluation code using standard monomials and indicator functions. We show that the dual of an evaluation code is the evaluation code of the algebraic dual. We develop an algorithm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34621f58e6b076545e78c4ebcc78f9a0
https://doi.org/10.1007/s10623-021-00872-w
https://doi.org/10.1007/s10623-021-00872-w
Autor:
Ehud Meir
Publikováno v:
Journal of Algebra. 572:1-35
In this paper we study rings of invariants arising in the study of finite dimensional algebraic structures. The rings we encounter are graded rings of the form K [ U ] Γ where Γ is a product of general linear groups over a field K of characteristic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d8cc0a07438850018a4eacf822aee090
https://doi.org/10.1016/j.jalgebra.2020.12.004
https://doi.org/10.1016/j.jalgebra.2020.12.004
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 200:1757-1780
Given any diagonal cyclic subgroup $\Lambda \subset GL(n+1,k)$ of order $d$, let $I_d\subset k[x_0,\ldots, x_n]$ be the ideal generated by all monomials $\{m_{1},\ldots, m_{r}\}$ of degree $d$ which are invariants of $\Lambda$. $I_d$ is a monomial To
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc4ae67b5714095849ecb1b0db25a20c
https://doi.org/10.1007/s10231-020-01058-2
https://doi.org/10.1007/s10231-020-01058-2
Autor:
Francesca Cioffi
Publikováno v:
Journal of Algebra. 566:435-442
Given the Hilbert function $u$ of a closed subscheme of a projective space over an infinite field $K$, let $m_u$ and $M_u$ be, respectively, the minimum and the maximum among all the Castelnuovo-Mumford regularities of schemes with Hilbert function $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63c69007194e6836b508e03df49db978
https://doi.org/10.1016/j.jalgebra.2020.10.003
https://doi.org/10.1016/j.jalgebra.2020.10.003
Autor:
Bernard Mourrain, Alessandro Oneto
Publikováno v:
Linear Algebra and its Applications
Linear Algebra and its Applications, Elsevier, 2020, 607, pp.347-377. ⟨10.1016/j.laa.2020.06.029⟩
Linear Algebra and its Applications, 2020, 607, pp.347-377. ⟨10.1016/j.laa.2020.06.029⟩
Linear Algebra and its Applications, Elsevier, 2020, 607, pp.347-377. ⟨10.1016/j.laa.2020.06.029⟩
Linear Algebra and its Applications, 2020, 607, pp.347-377. ⟨10.1016/j.laa.2020.06.029⟩
We use an algebraic approach to construct minimal decompositions of symmetric tensors with low rank. This is done by using Apolarity Theory and by studying minimal sets of reduced points apolar to a given symmetric tensor, namely, whose ideal is cont
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ce374a1f25a20e5143c7bccb5a486b7
https://doi.org/10.1016/j.laa.2020.06.029
https://doi.org/10.1016/j.laa.2020.06.029