Eleonore Faber

activity

20092026

most citedTowards transversality of singular varieties: splayed divisors

14 citations · 61 across the 25 of their papers we have counts for

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5 papers · 1 filter

math.AC2022

Matrix Factorizations of the discriminant of $S_{n}$

Eleonore Faber, Colin Ingalls, Simon May +1

Consider the symmetric group $S_{n}$ acting as a reflection group on the polynomial ring $k [x_{1}, \dots, x_{n}]$ , where $k$ is a field such that Char $(k)$ does not divide $n!$ . We use…

math.AC2020

Canonical Resolutions over Koszul Algebras

Eleonore Faber, Martina Juhnke-Kubitzke, Haydee Lindo +3

We generalize Buchsbaum and Eisenbud's resolutions for the powers of the maximal ideal of a polynomial ring to resolve powers of the homogeneous maximal ideal over graded Koszul al…

math.AC2019

Trace ideals, normalization chains, and endomorphism rings

Eleonore Faber

In this paper we consider reduced (non-normal) commutative noetherian rings $R$ . With the help of conductor ideals and trace ideals of certain $R$ -modules we deduce a criterion for…

math.AC2018

Non-Commutative Resolutions of Toric Varieties

Eleonore Faber, Greg Muller, Karen E. Smith

Let $R$ be the coordinate ring of an affine toric variety. We show that the endomorphism ring $E n d_{R} (A),$ where $A$ is the (finite) direct sum of all (isomorphism c…

math.AC2014★ 2 cited

Noncommutative (crepant) desingularizations and the global spectrum of commutative rings

Hailong Dao, Eleonore Faber, Colin Ingalls

In this paper we study endomorphism rings of finite global dimension over not necessarily normal commutative rings. These objects have recently attracted attention as noncommutativ…