Zobrazeno 1 - 10
of 155
pro vyhledávání: '"Ferraro, Luigi"'
Autor:
Ferraro, Luigi, Moore, W. Frank
Let $(R,\mathfrak{m},\Bbbk)$ be a regular local ring of dimension 3. Let $I$ be a Gorenstein ideal of $R$ of grade 3. It follows from a result of Buchsbaum and Eisenbud that there is a skew-symmetric matrix of odd size such that $I$ is generated by t
Externí odkaz:
http://arxiv.org/abs/2404.03601
Autor:
Ferraro, Luigi
During the last decades, public awareness of the environmental, economic and social consequences of using fossil fuels has considerably grown. Moreover, not only the supply of fossil resources is limited, but also the environmental impact represents
Externí odkaz:
http://oatao.univ-toulouse.fr/17819/1/Ferraro_L.pdf
We prove a generalized version of Evans and Griffith's Improved New Intersection Theorem: Let I be an ideal in a local ring R. If a finite free R-complex, concentrated in nonnegative degrees, has I-torsion homology in positive degrees, and the homolo
Externí odkaz:
http://arxiv.org/abs/2206.05812
Autor:
Ferraro, Luigi, Hardesty, Alexis
Let $(R,\mathfrak{m},\Bbbk)$ be a regular local ring of dimension 3. Let $I$ be a Gorenstein ideal of $R$ of grade 3. Buchsbaum and Eisenbud proved that there is a skew-symmetric matrix of odd size such that $I$ is generated by the sub-maximal pfaffi
Externí odkaz:
http://arxiv.org/abs/2204.05228
Publikováno v:
In European Journal of Obstetrics & Gynecology and Reproductive Biology December 2024 303:186-205
Let p be a prime ideal in a commutative noetherian ring R and denote by k(p) the residue field of the local ring R_p. We prove that if an R-module M satisfies Ext_R^n(k(p),M) = 0 for some n >= dim R, then Ext_R^i(k(p),M) = 0 holds for all i >= n. Thi
Externí odkaz:
http://arxiv.org/abs/2112.00103
In this article we investigate a pair of surjective local ring maps $S_1\leftarrow R\to S_2$ and their relation to the canonical projection $R\to S_1\otimes_R S_2$, where $S_1,S_2$ are Tor-independent over $R$. Our main result asserts a structural co
Externí odkaz:
http://arxiv.org/abs/2109.01003
Let $\Bbbk$ be a field and let $I$ be a monomial ideal in the polynomial ring $Q=\Bbbk[x_1,\ldots,x_n]$. In her thesis, Taylor introduced a complex which provides a finite free resolution for $Q/I$ as a $Q$-module. Later, Gemeda constructed a differe
Externí odkaz:
http://arxiv.org/abs/2109.00111
Autor:
Ferraro, Luigi, Hardesty, Alexis
In a 1987 paper, Eliahou and Kervaire constructed a minimal resolution of a class of monomial ideals in a polynomial ring, called stable ideals. As a consequence of their construction they deduced several homological properties of stable ideals. Furt
Externí odkaz:
http://arxiv.org/abs/2108.05812
In this article we study a theory of support varieties over a skew complete intersection $R$, i.e. a skew polynomial ring modulo an ideal generated by a sequence of regular normal elements. We compute the derived braided Hochschild cohomology of $R$
Externí odkaz:
http://arxiv.org/abs/2101.12287