arXiv subjects

Ethan Robinett

Publications and source records attributed to Ethan Robinett.

2 recordsLinked to original sources

arXiv2022

Stability conditions on Kuznetsov components of Gushel-Mukai threefolds and Serre functor

We show that the stability conditions on the Kuznetsov component of a Gushel-Mukai threefold, constructed by Bayer, Lahoz, Macrì and Stellari, are preserved by the Serre functor, up to the action of the universal cover of $\text{GL}^+_2(\mathbb{R})$. As application, we construct stability conditions on the Kuznetsov component of special Gushel-Mukai fourfolds.

math.AG↗

arXiv2019

Monoidal networks

In this paper we define and study the notion of a monoidal network, which consists of a commutative ring $R$ and a collection of groups $Γ_I$, indexed by the ideals of $R$, with $Γ_I$ acting on the quotient $R/I$ and satisfying a certain lifting condition. The examination of these objects is largely motivated by, and initially arose from, the study of the union-closed sets conjecture. This connection is made precise and other aspects of these structures are investigated.

math.CO↗