4.1 Article

Rationality of Rigid Quiver Grassmannians

Related references

Note: Only part of the references are listed.
Article Mathematics

Cell decompositions and algebraicity of cohomology for quiver Grassmannians

Giovanni Cerulli Irelli et al.

Summary: The article demonstrates properties of quiver Grassmannians associated with rigid quiver representations, including properties of the cohomology ring, Chow ring generators, and polynomial point count. By restricting to finite or affine type quivers, it is shown that quiver Grassmannians associated with indecomposable representations have a cellular decomposition. Additionally, the geometry behind the cluster multiplication formula of Caldero and Keller is studied, providing a new proof of a slightly more general result.

ADVANCES IN MATHEMATICS (2021)

Article Mathematics

Cell decompositions for rank two quiver Grassmannians

Dylan Rupel et al.

MATHEMATISCHE ZEITSCHRIFT (2020)

Article Mathematics

Quiver Grassmannians of Extended Dynkin Type D Part I: Schubert Systems and Decompositions into Affine Spaces

Oliver Lorscheid et al.

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY (2019)

Article Mathematics, Applied

QUIVER GRASSMANNIANS FOR WILD ACYCLIC QUIVERS

Claus Michael Ringel

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (2018)

Article Mathematics

Linear degenerations of flag varieties

G. Cerulli Irelli et al.

MATHEMATISCHE ZEITSCHRIFT (2017)

Article Mathematics

Every Projective Variety is a Quiver Grassmannian

Markus Reineke

ALGEBRAS AND REPRESENTATION THEORY (2013)

Article Mathematics

Localization in quiver moduli spaces

Thorsten Weist

Representation Theory (2013)

Article Mathematics

Geometry of quiver Grassmannians of Kronecker type and applications to cluster algebras

Giovanni Cerulli Irelli et al.

Algebra & Number Theory (2012)

Article Mathematics

Quiver Grassmannians associated with string modules

G. Cerulli Irelli

JOURNAL OF ALGEBRAIC COMBINATORICS (2011)

Article Mathematics

Quiver varieties and cluster algebras

Hiraku Nakajima

KYOTO JOURNAL OF MATHEMATICS (2011)

Article Mathematics

QUIVERS WITH POTENTIALS AND THEIR REPRESENTATIONS II: APPLICATIONS TO CLUSTER ALGEBRAS

Harm Derksen et al.

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY (2010)

Article Mathematics, Applied

On the quiver Grassmannian in the acyclic case

Philippe Caldero et al.

JOURNAL OF PURE AND APPLIED ALGEBRA (2008)

Article Mathematics

Cluster algebras IV: Coefficients

Sergey Fomin et al.

COMPOSITIO MATHEMATICA (2007)

Article Mathematics

Classifying representations by way of Grassmannians

Birge Huisgen-Zimmermann

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2007)

Article Mathematics

Cluster algebras as Hall algebras of quiver representations

Philippe Caldero et al.

COMMENTARII MATHEMATICI HELVETICI (2006)