caa a22 4500 606160981 CHVBK 20210128100632.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10468-015-9537-8 doi (NATIONALLICENCE)springer-10.1007/s10468-015-9537-8 Fei Jiarui Department of Mathematics, University of California, 92521, Riverside, CA, USA aut Counting Using Hall Algebras II. Extensions from Quivers [Elektronische Daten] [Jiarui Fei] We count the 𝔽 q -rational points of GIT quotients of quiver representations with relations. We focus on two types of algebras - one is one-point extended from a quiver Q, and the other is the Dynkin A 2 tensored with Q. For both, we obtain explicit formulas. We study when they are polynomial-count. We follow the similar line as in the first paper but algebraic manipulations in Ringel-Hall algebra will be replaced by corresponding geometric constructions. Springer Science+Business Media Dordrecht, 2015 Quiver with relations nationallicence Ringel-Hall algebra nationallicence GIT quotient nationallicence One-point extension nationallicence Representation variety nationallicence Moduli space nationallicence Quiver grassmannian nationallicence Quiver flag nationallicence Tensor product algebra nationallicence Polynomial-count nationallicence Positivity nationallicence Algebras and Representation Theory Springer Netherlands 18/4(2015-08-01), 1135-1153 1386-923X 18:4<1135 2015 18 10468 https://doi.org/10.1007/s10468-015-9537-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10468-015-9537-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Fei Jiarui Department of Mathematics, University of California, 92521, Riverside, CA, USA aut NATIONALLICENCE 773 0- Algebras and Representation Theory Springer Netherlands 18/4(2015-08-01), 1135-1153 1386-923X 18:4<1135 2015 18 10468