Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Alessandra, Costantini"'
Publikováno v:
Journal of Algebra. 629:227-246
We introduce the notion of residual intersections of modules and prove their existence. We show that projective dimension one modules have Cohen-Macaulay residual intersections, namely they satisfy the relevant Artin-Nagata property. We then establis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::430264f523358153a32dd1b7aacee393
https://doi.org/10.1016/j.jalgebra.2023.03.035
https://doi.org/10.1016/j.jalgebra.2023.03.035
Autor:
Alessandra Costantini
Publikováno v:
Journal of Algebra. 587:36-63
In this paper, we consider a finite, torsion-free module $E$ over a Gorenstein local ring. We provide sufficient conditions for $E$ to be of linear type and for the Rees algebra $\mathcal{R}(E)$ of $E$ to be Cohen-Macaulay. Our results are obtained b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59e919d8122dd71bdec37749f296f39a
https://doi.org/10.1016/j.jalgebra.2021.07.022
https://doi.org/10.1016/j.jalgebra.2021.07.022
Autor:
Alessandra Costantini
Publikováno v:
Association for Women in Mathematics Series ISBN: 9783030919856
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a4bb05e28a1bca6e77ff326500708525
https://doi.org/10.1007/978-3-030-91986-3_8
https://doi.org/10.1007/978-3-030-91986-3_8
Autor:
Tan Dang, Alessandra Costantini
Let $R$ be an algebra essentially of finite type over a field $k$ and let $\Omega_k(R)$ be its module of K\"ahler differentials over $k$. If $R$ is a homogeneous complete intersection and $\mathrm{char}(k)=0$, we prove that $\Omega_k(R)$ is of linear
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d25984a1a39abe18074346828f741ff5
Dissertation/ Thesis
In the first part of this thesis, we study Rees algebras of modules. We investigate their Cohen-Macaulay property and their defining ideal, using generic Bourbaki ideals. These were introduced by Simis, Ulrich and Vasconcelos in [65], in order to cha