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math.AG2021
Algebraic and analytic compactifications of moduli spaces
Patricio Gallardo, Matt Kerr
In this expository note, we offer an overview of the relationship between Hodge-theoretic and geometric compactifications of moduli spaces of algebraic varieties.
math.AG2021
Quivers and moduli of their thin sincere representations in Macaulay2
Mary Barker, Patricio Gallardo
We introduce the Macaulay2 package ThinSincereQuivers for studying acyclic quivers, the moduli of their thin-sincere representations, and the reflexive flow polytopes associated to…
math.AG2021
The Fulton-MacPherson compactification is not a Mori dream space
Patricio Gallardo, José Luis González, Evangelos Routis
We show that the Fulton-MacPherson compactification of the configuration space of distinct labeled points in certain varieties of arbitrary dimension , including projective…