Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Mastroeni, Matthew"'
Edge ideals of finite simple graphs are well-studied over polynomial rings. In this paper, we initiate the study of edge ideals over exterior algebras, specifically focusing on the depth and singular varieties of such ideals. We prove an upper bound
Externí odkaz:
http://arxiv.org/abs/2208.03366
Autor:
Mastroeni, Matthew, McCullough, Jason
Chow rings of matroids were instrumental in the resolution of the Heron-Rota-Welsh Conjecture by Adiprasito, Huh, and Katz and in the resolution of the Top-Heavy Conjecture by Braden, Huh, Matherne, Proudfoot, and Wang. The Chow ring of a matroid is
Externí odkaz:
http://arxiv.org/abs/2111.00393
Autor:
Mantero, Paolo, Mastroeni, Matthew
Avramov, Conca, and Iyengar ask whether $\beta_i^S(R) \leq \binom{g}{i}$ for all $i$ when $R=S/I$ is a Koszul algebra minimally defined by $g$ quadrics. In recent work, we give an affirmative answer to this question when $g \leq 4$ by completely clas
Externí odkaz:
http://arxiv.org/abs/2101.09803
Autor:
Ferraro, Luigi, Galetto, Federico, Gandini, Francesca, Huang, Hang, Mastroeni, Matthew, Ni, Xianglong
Publikováno v:
J. Softw. Alg. Geom. 14 (2024) 5-11
We describe a significant update to the existing InvariantRing package for Macaulay2. In addition to expanding and improving the methods of the existing package for actions of finite groups, the updated package adds functionality for computing invari
Externí odkaz:
http://arxiv.org/abs/2010.15331
Generalized Frobenius powers of an ideal were introduced in work of Hern\'andez, Teixeira, and Witt as characteristic-dependent analogs of test ideals. However, little is known about the Frobenius powers and critical exponents of specific ideals, eve
Externí odkaz:
http://arxiv.org/abs/2005.14643
Autor:
Mantero, Paolo, Mastroeni, Matthew
Let $I$ be an ideal generated by quadrics in a standard graded polynomial ring $S$ over a field. A question of Avramov, Conca, and Iyengar asks whether the Betti numbers of $R = S/I$ over $S$ can be bounded above by binomial coefficients on the minim
Externí odkaz:
http://arxiv.org/abs/1910.01674
A question of Conca, Rossi, and Valla asks whether every quadratic Gorenstein ring $R$ of regularity three is Koszul. In a previous paper, we use idealization to answer their question, proving that in nine or more variables there exist quadratic Gore
Externí odkaz:
http://arxiv.org/abs/1903.08273
Autor:
Mastroeni, Matthew
Let $R = S/I$ be a quotient of a standard graded polynomial ring $S$ by an ideal $I$ generated by quadrics. If $R$ is Koszul, a question of Avramov, Conca, and Iyengar asks whether the Betti numbers of $R$ over $S$ can be bounded above by binomial co
Externí odkaz:
http://arxiv.org/abs/1801.00763
Autor:
Mantero, Paolo, Mastroeni, Matthew
Publikováno v:
In Journal of Algebra 1 July 2022 601:280-311
Autor:
Mantero, Paolo, Mastroeni, Matthew
Publikováno v:
In Journal of Pure and Applied Algebra February 2021 225(2)