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Explicit Correspondence Between Stability Conditions for the Kronecker Quiver and the Segre Embedding of P1*P1

descriptionPublicationkeyboard_double_arrow_right Preprint 27 Mar 2025Publisher:Zenodo
Authors: Hasegawa, Yoshihiro;

doi: 10.5281/zenodo.15095375 , 10.5281/zenodo.15094923 , 10.5281/zenodo.15094922 , 10.5281/zenodo.15229248

Explicit Correspondence Between Stability Conditions for the Kronecker Quiver and the Segre Embedding of P1*P1

Abstract

This paper establishes a precise connection between stability conditionsof representations of the Kronecker quiver and the geometryarising from the Segre embedding of P1 ×P1. We present rigorous definitionsand theorems that elucidate the interplay between algebraicgeometry and representation theory, supported by explicit examples.Our investigation reveals how abstract stability conditions manifestconcretely in projective geometry, with potential applications in bothpure and applied mathematics.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green