On Blow-Ups and Injectivity of Quivers

نویسندگان

Will Grilliette

Deborah E. Seacrest

Tyler Seacrest

چکیده

This work connects the idea of a “blow-up” of a quiver with that of injectivity, showing that for a class of monic maps Φ, a quiver is Φ-injective if and only if all blow-ups of it are as well. This relationship is then used to characterize all quivers that are injective with respect to the natural embedding of Pn into Cn.

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