Notes on GIT-fans for quivers

Calin Chindris

Notes on GIT-fans for quivers

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arxiv 0805.1440 v1 pith:JYDGHJY7 submitted 2008-05-10 math.RT math.RA

Calin Chindris This is my paper · ORCID

classification math.RTmath.RA

keywords constructiongit-fansnotesquiversaffinearzhantsevbeenbundles

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These are notes on the construction of the GIT-fans for quivers without oriented cycles. We follow closely the steps outlined by N. Ressayre in "The GIT-Equivalence for G-Line Bundles" (Geometriae Dedicata, Volume 81, Numbers 1-3, 2000). A simple construction of the GIT-fan for normal, affine G-varities has been recently given by Ivan V. Arzhantsev and Juergen Hausen in "Geometric Invariant Theory via Cox Rings"

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Finding the walls for quiver moduli
math.AG 2025-06 conditional novelty 7.0 of 10

The walls in the semistable cone of a quiver moduli problem equal the union, over all sub-dimension vectors e, of the intersections sst(e) ∩ sst(d-e).

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