Liftable Point-Line Configurations: Defining Equations and Irreducibility of Associated Matroid and Circuit Varieties

We study point-line configurations through the lens of projective geometry and matroid theory. Our focus is on their realization spaces, where we introduce the concepts of liftable and quasi-liftable configurations, exploring cases in which an <i>n</i>-tuple of collinear points can be li...

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Bibliographic Details
Main Authors: Oliver Clarke, Giacomo Masiero, Fatemeh Mohammadi
Format: Article
Language:English
Published: MDPI AG 2024-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/12/19/3041
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