Zobrazeno 1 - 10
of 120
pro vyhledávání: '"FARIDI, SARA"'
A major open question in the theory of Gorenstein liaison is whether or not every arithmetically Cohen-Macaulay subscheme of $\mathbb{P}^n$ can be G-linked to a complete intersection. Migliore and Nagel showed that, if such a scheme is generically Go
Externí odkaz:
http://arxiv.org/abs/2406.19985
Every multigraded free resolution of a monomial ideal I contains the Scarf multidegrees of I. We say I has a Scarf resolution if the Scarf multidegrees are sufficient to describe a minimal free resolution of I. The main question of this paper is whic
Externí odkaz:
http://arxiv.org/abs/2403.05439
Autor:
Faridi, Sara, Hewalage, Iresha Madduwe
In 2021, Hibi et. al. studied lattice points in $\mathbb{N}^2$ that appear as $(\depth R/I,\dim R/I)$ when $I$ is the edge ideal of a graph on $n$ vertices, and showed these points lie between two convex polytopes. When restricting to the class of Ca
Externí odkaz:
http://arxiv.org/abs/2403.02557
Computing the homotopy type and homological invariants of the independence complex of ternary graphs
Autor:
Faridi, Sara, Holleben, Thiago
In 2022, Jinha Kim proved a conjecture by Engstr\"om that states the independence complex of a graph with no induced cycle of length divisible by 3 is either contractible or homotopy equivalent to a sphere. We give criteria for when the independence
Externí odkaz:
http://arxiv.org/abs/2311.07727
This paper is concerned with finding bounds on betti numbers and describing combinatorially and topologically (minimal) free resolutions of powers of ideals generated by a fixed number $q$ of square-free monomials. Among such ideals, we focus on a sp
Externí odkaz:
http://arxiv.org/abs/2309.02644
We consider Artinian level algebras arising from the whiskering of a graph. Employing a result by Dao-Nair we show that multiplication by a general linear form has maximal rank in degrees 1 and $n-1$ when the characteristic is not two, where $n$ is t
Externí odkaz:
http://arxiv.org/abs/2306.04393
Autor:
Faridi, Sara, Ghouchan, Mohammad Farrokhi Derakhshandeh, Ghorbani, Roghayyeh, Pour, Ali Akbar Yazdan
The question we address in this paper is: which monomial ideals have minimal cellular resolutions, that is, minimal resolutions obtained from homogenizing the chain maps of CW-complexes? Velasco gave families of examples of monomial ideals that do no
Externí odkaz:
http://arxiv.org/abs/2209.10338
Autor:
Cooper, Susan M., Khoury, Sabine El, Faridi, Sara, Mayes-Tang, Sarah, Morey, Susan, Sega, Liana M., Spiroff, Sandra
Publikováno v:
Algebraic Combinatorics, Volume 7 (2024) no. 1, pp. 77-107
The Taylor resolution is almost never minimal for powers of monomial ideals, even in the square-free case. In this paper we introduce a smaller resolution for each power of any square-free monomial ideal, which depends only on the number of generator
Externí odkaz:
http://arxiv.org/abs/2204.03136
Autor:
Cooper, Susan M., Khoury, Sabine El, Faridi, Sara, Mayes-Tang, Sarah, Morey, Susan, Sega, Liana M., Spiroff, Sandra
This paper is concerned with the question of whether geometric structures such as cell complexes can be used to simultaneously describe the minimal free resolutions of all powers of a monomial ideal. We provide a full answer in the case of square-fre
Externí odkaz:
http://arxiv.org/abs/2108.07703
Publikováno v:
In Journal of Pure and Applied Algebra June 2024 228(6)
