scholarly journals On natural maps from strata of quiver Grassmannians to ordinary Grassmannians

2013 ◽  
pp. 199-214 ◽  
Author(s):  
Kyungyong Lee ◽  
Li Li
Keyword(s):  
Quiver Grassmannians ◽  
Natural Maps

scholarly journals Cell decompositions and algebraicity of cohomology for quiver Grassmannians

2021 ◽  
Vol 379 ◽  
pp. 107544
Author(s):  
Giovanni Cerulli Irelli ◽  
Francesco Esposito ◽  
Hans Franzen ◽  
Markus Reineke
Keyword(s):  
Quiver Grassmannians ◽  
Cell Decompositions

Natural maps of extension functors and a theorem of R. G. Swan

1961 ◽  
Vol 57 (3) ◽  
pp. 489-502 ◽  
Author(s):  
P. J. Hilton ◽  
D. Rees
Keyword(s):  
Finite Group ◽  
Exact Sequence ◽  
Group Ring ◽  
Projective Module ◽  
Additive Group ◽  
Integral Group Ring ◽  
Integral Group ◽  
Natural Maps ◽  
Image Position ◽  
A Finite Group

The present paper has been inspired by a theorem of Swan(5). The theorem can be described as follows. Let G be a finite group and let Γ be its integral group ring. We shall denote by Z an infinite cyclic additive group considered as a left Γ-module by defining gm = m for all g in G and m in Z. By a Tate resolution of Z is meant an exact sequencewhere Xn is a projective module for − ∞ < n < + ∞, and.

scholarly journals Cell decompositions for rank two quiver Grassmannians

2019 ◽  
Vol 295 (3-4) ◽  
pp. 993-1038
Author(s):  
Dylan Rupel ◽  
Thorsten Weist
Keyword(s):  
Quiver Grassmannians ◽  
Cell Decompositions

A note on natural maps of higher extension functors

1963 ◽  
Vol 59 (2) ◽  
pp. 283-286 ◽  
Author(s):  
F. Oort
Keyword(s):  
Natural Maps ◽  
Image Position

Hilton and Rees have proved (cf. (1), Theorem 1·3) that every natural mapis induced by a map from A to B (or, Hom (A, B) → Next1,1 (A, B) is surjective). It follows that Ext1 (B, −) and Ext1 (A, −) are naturally isomorphic if and only if A and B are quasi-isomorphic (loc. cit., Theorem 2·6), i.e. if there exist projective objects P, Q and an isomorphism . One can ask whether these theorems remain true for higher extension functors.

scholarly journals A Homological Interpretation of the Transverse Quiver Grassmannians

2011 ◽  
Vol 16 (2) ◽  
pp. 437-444 ◽  
Author(s):  
Giovanni Cerulli Irelli ◽  
Grégoire Dupont ◽  
Francesco Esposito
Keyword(s):  
Quiver Grassmannians

scholarly journals Degenerate Affine Flag Varieties and Quiver Grassmannians

2020 ◽  
Author(s):  
Alexander Pütz
Keyword(s):  
Flag Varieties ◽  
Rational Singularities ◽  
Quiver Grassmannians ◽  
Finite Dimensional ◽  
Irreducible Components ◽  
Affine Flag

AbstractWe study finite dimensional approximations to degenerate versions of affine flag varieties using quiver Grassmannians for cyclic quivers. We prove that they admit cellular decompositions parametrized by affine Dellac configurations, and that their irreducible components are normal Cohen-Macaulay varieties with rational singularities.

scholarly journals On the cardinalities of Kronecker quiver Grassmannians

2010 ◽  
Vol 269 (3-4) ◽  
pp. 833-846 ◽  
Author(s):  
Csaba Szántó
Keyword(s):  
Quiver Grassmannians
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