Zobrazeno 1 - 10
of 52 880
pro vyhledávání: '"Gorenstein, A"'
Autor:
Miyashita, Sora, Varbaro, Matteo
In this paper we prove that nearly Gorenstein Stanley-Reisner rings of dimension at least 3 are indeed Gorenstein. By previous work of the first author this yields a complete characterization of nearly Gorenstein Stanley-Reisner rings. We also show t
Externí odkaz:
http://arxiv.org/abs/2412.12860
Autor:
Shen, Haonan Li. Menda, Wu, Quanshui
In this paper, we investigate noncommutative resolutions of (generalized) AS-Gorenstein isolated singularities. Noncommutative resolutions in graded case are achieved as the graded endomorphism rings of some finitely generated graded modules, which a
Externí odkaz:
http://arxiv.org/abs/2411.16161
We describe the canonical module of a simplicial affine semigroup ring $\mathbb{K}[S]$ and its trace ideal. As a consequence, we characterize when $\mathbb{K}[S]$ is nearly Gorenstein in terms of arithmetic properties of the semigroup $S$. Then, we f
Externí odkaz:
http://arxiv.org/abs/2411.12081
Using techniques coming from the theory of marked bases, we develop new computational methods for detection and construction of Cohen-Macaulay, Gorenstein and complete intersection homogeneous polynomial ideals. Thanks to the functorial properties of
Externí odkaz:
http://arxiv.org/abs/2410.17090
This paper investigates the algebraic structure of indecomposable $\mathbb{N}$-graded vertex algebras $V = \bigoplus_{n=0}^{\infty} V_n$, emphasizing the intricate interactions between the commutative associative algebra $V_0$, the Leibniz algebra $V
Externí odkaz:
http://arxiv.org/abs/2412.07918
We introduce admissible Minkowski decomposition data (amd) for a 3-dimensional reflexive polytope P. This notion is defined purely in terms of the combinatorics of P. Denoting by X the Gorenstein toric Fano 3-fold whose fan is the spanning fan (a.k.a
Externí odkaz:
http://arxiv.org/abs/2412.06500
Autor:
Ghirlanda, Marco
We classify the non-toric, $\mathbb{Q}$-factorial, Gorenstein, Fano threefolds of Picard number one with an effective $\mathbb{K}^*$-action and maximal orbit quotient $\mathbb{P}_2$.
Comment: 39 pages
Comment: 39 pages
Externí odkaz:
http://arxiv.org/abs/2412.05966
Autor:
Tavanfar, Ehsan
We show that any complete local (normal) domain admits a module-finite quasi-Gorenstein normal (complete local) domain extension. Notably our result resolves the previously open case of residual characteristic two.
Comment: Comments are very wel
Comment: Comments are very wel
Externí odkaz:
http://arxiv.org/abs/2410.15149
In this paper, we study edge rings and their $h$-polynomials. We investigate when edge rings are pseudo-Gorenstein, which means that the leading coefficients of the $h$-polynomials of edge rings are equal to $1$. Moreover, we compute the $h$-polynomi
Externí odkaz:
http://arxiv.org/abs/2409.03176
Autor:
Wu, Dejun1 (AUTHOR) wudj@lut.edu.cn
Publikováno v:
Mathematical Notes. Dec2022, Vol. 112 Issue 5/6, p789-796. 8p.
