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math.AG2023★ 1 cited
The Logarithmic Quot space: foundations and tropicalisation
Patrick Kennedy-Hunt
We construct a logarithmic version of the Hilbert scheme, and more generally the Quot scheme, of a simple normal crossings pair. The logarithmic Quot space admits a natural tropica…
math.AG2023
Tropical refined curve counting with descendants
Patrick Kennedy-Hunt, Qaasim Shafi, Ajith Urundolil Kumaran
We prove a -refined tropical correspondence theorem for higher genus descendant logarithmic Gromov--Witten invariants with a class in toric surfaces. Specifically, a gener…