Dawei Shen

collaborators

4 papers

math.RA2026

Symmetry of self-injective dimensions under the Auslander condition

Dawei Shen

Let $A$ be a module-finite algebra over a commutative Noetherian ring. We give a local criterion for the $n$ -Gorenstein condition on $A$ . As an application, we prove that if $A$ sa…

math.RT2026

A Serre-type criterion for $n$ -Gorenstein rings and its application to Nakayama algebras

Dawei Shen

Let $R$ be a left and right Noetherian ring. We introduce a Serre-type condition $(G_{n})$ , formulated in terms of the first occurrence and the flat dimension of indecomposable injec…

math.AG2026

Algebraic Geometry of Electroid Varieties

Dawei Shen, Mia Smith, David E Speyer

Recent work of Lam, Bychkov-Gorbounov-Kazakov-Talalaev, and Chepuri-George-Speyer gave a stratification of the totally nonnegative Lagrangian Grassmannian into electroid cells para…

math.CO2026

The ABCT Variety $V (3, n)$ is a Positive Geometry

Dawei Shen, Emanuele Ventura

The ABCT variety $V (3, n)$ is the image closure of the rational Veronese map from the Grassmannian $Gr (2, n)$ to the Grassmannian $Gr (3, n)$ . It was stud…

Symmetry of self-injective dimensions under the Auslander condition

A Serre-type criterion for n-Gorenstein rings and its application to Nakayama algebras

Algebraic Geometry of Electroid Varieties

The ABCT Variety V(3,n) is a Positive Geometry

A Serre-type criterion for $n$ -Gorenstein rings and its application to Nakayama algebras

The ABCT Variety $V (3, n)$ is a Positive Geometry