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Autor:
Jochen Kästner
Publikováno v:
Manuscripta Mathematica. 54:197-204
By means of a class of examples it is shown that all nonnegative integers are assumed by the difference between the Buchsbaum invariant and the length of the semigroup ideal for monomial Buchsbaum curves. This answers a question of Bresinsky in [1].
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c33e4dc7d64f7f635d4eb0fde49f307a
https://doi.org/10.1007/bf01171707
https://doi.org/10.1007/bf01171707
Autor:
Kästner, Jochen
Publikováno v:
Manuscripta Mathematica; 1986, Vol. 54 Issue 1/2, p197-204, 8p
Publikováno v:
Rocky Mountain J. Math. 42, no. 3 (2012), 823-845
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::360dab6a5308b6821058f855eee85e1a
http://projecteuclid.org/euclid.rmjm/1344430861
http://projecteuclid.org/euclid.rmjm/1344430861
Publikováno v:
Nagoya Mathematical Journal. 136:81-114
Our setting for this paper is projective 3-spaceover an algebraically closed fieldK. By a curveC⊂is meant a 1-dimensional, equidimensional projective algebraic set, which is locally Cohen-Macaulay. Letbe the Hartshorne-Rao module of finite length (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1c7c7b7f85c380e7f3e87163d3d8b963
https://doi.org/10.1017/s0027763000024971
https://doi.org/10.1017/s0027763000024971
Publikováno v:
Proceedings of the American Mathematical Society; Sep2024, Vol. 152 Issue 9, p3665-3678, 14p
Autor:
H. Bresinsky
Publikováno v:
Proceedings of the American Mathematical Society. 47:329-332
Let n i , 1 ≤ i ≤ r , r ≥ 3 {n_i},1 \leq i \leq r,r \geq 3 , be natural numbers such that ( n 1 , ⋯ , n r ) = 1 ({n_1}, \cdots ,{n_r}) = 1 and n i = Σ j = 1 r z j n j , z j {n_i} = \Sigma _{j = 1}^r{z_j}{n_j},{z_j} . nonnegative integers, im
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a73b680d1b83c35fae875bceab7ff15a
https://doi.org/10.1090/s0002-9939-1975-0389912-0
https://doi.org/10.1090/s0002-9939-1975-0389912-0
Autor:
H. Bresinsky
Publikováno v:
Monatshefte f�r Mathematik. 98:21-28
The arithmetical Cohen-Macaulay property for monomial curves in ℙK3 with generic zero\((t_0^{n_3 } ,t_0^{n_3 - n_1 } t_0^{n_1 } ,t_0^{n_3 - n_2 } t_0^{n_2 } ,t_0^{n_3 } )\) was shown in [2] to be true forn3>(n2−1)(n2−n1),n3>n2, (n1,n2,n3)=1. He
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9500762ecb1f5f9e1b48014a6af896f
https://doi.org/10.1007/bf01536905
https://doi.org/10.1007/bf01536905
Publikováno v:
Communications in Algebra. 15:1799-1814
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a77e8002269b33dd2d6c71effc1d7a39
https://doi.org/10.1080/00927878708823505
https://doi.org/10.1080/00927878708823505
Autor:
H. Bresinsky
Publikováno v:
Proceedings of the American Mathematical Society. 32:381-384
The symmetric semigroups of nonnegative integers and their generators, corresponding to algebroid branches of the plane, are determined. Let a be an algebroid branch of a plane curve with coefficients in an algebraically closed field with characteris
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c0fc0e9f4c5b78102d5a3e78f5a7a312
https://doi.org/10.1090/s0002-9939-1972-0291171-1
https://doi.org/10.1090/s0002-9939-1972-0291171-1