AbstractLet A be the path algebra of a quiver Q with no oriented cycle. We study geometric properties of the Grassmannians of submodules of a given A-module M. In particular, we obtain some sufficient conditions for smoothness, polynomial cardinality and we give different approaches to Euler characteristics. Our main result is the positivity of Euler characteristics when M is an exceptional module. This solves a conjecture of Fomin and Zelevinsky for acyclic cluster algebras
In recent articles, the investigation of atomic bases in cluster algebras associated to affine quive...
Let Q be a quiver. M. Reineke and A. Hubery investigated the connection between the composition mono...
We study quiver Grassmannians associated with indecomposable representations (of finite dimension) o...
Let A be the path algebra of a quiver Q with no oriented cycle. We study geometric properties of the...
Let A be the path algebra of a quiver Q with no oriented cycle. We study geometric properties of the...
AbstractLet A be the path algebra of a quiver Q with no oriented cycle. We study geometric propertie...
We provide a technique to compute the Euler–Poincaré characteristic of a class of projective variet...
The paper includes a new proof of the fact that quiver Grassmannians associated with rigid represen...
Ringel CM. Quiver Grassmannians for wild acyclic quivers. Proceedings of the American Mathematical S...
Let Q be a quiver. M. Reineke and A. Hubery investigated the connection between the composition mono...
AbstractWe study cluster algebras with principal and arbitrary coefficient systems that are associat...
This paper contains the material discussed in the series of three lectures that I gave during the wo...
Given an A-module M, and a dimension vector d, one can define a quiver Grassmannian, a projective al...
Given an A-module M, and a dimension vector d, one can define a quiver Grassmannian, a projective al...
The category of Cohen–Macaulay modules of an algebra is used in Jensen et al. (A categorification o...
In recent articles, the investigation of atomic bases in cluster algebras associated to affine quive...
Let Q be a quiver. M. Reineke and A. Hubery investigated the connection between the composition mono...
We study quiver Grassmannians associated with indecomposable representations (of finite dimension) o...
Let A be the path algebra of a quiver Q with no oriented cycle. We study geometric properties of the...
Let A be the path algebra of a quiver Q with no oriented cycle. We study geometric properties of the...
AbstractLet A be the path algebra of a quiver Q with no oriented cycle. We study geometric propertie...
We provide a technique to compute the Euler–Poincaré characteristic of a class of projective variet...
The paper includes a new proof of the fact that quiver Grassmannians associated with rigid represen...
Ringel CM. Quiver Grassmannians for wild acyclic quivers. Proceedings of the American Mathematical S...
Let Q be a quiver. M. Reineke and A. Hubery investigated the connection between the composition mono...
AbstractWe study cluster algebras with principal and arbitrary coefficient systems that are associat...
This paper contains the material discussed in the series of three lectures that I gave during the wo...
Given an A-module M, and a dimension vector d, one can define a quiver Grassmannian, a projective al...
Given an A-module M, and a dimension vector d, one can define a quiver Grassmannian, a projective al...
The category of Cohen–Macaulay modules of an algebra is used in Jensen et al. (A categorification o...
In recent articles, the investigation of atomic bases in cluster algebras associated to affine quive...
Let Q be a quiver. M. Reineke and A. Hubery investigated the connection between the composition mono...
We study quiver Grassmannians associated with indecomposable representations (of finite dimension) o...