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DESCRIPTION: In 2016\, Noah Giansiracua showed that a collection of boundar
y divisors in the moduli space of genus-0 n-pointed curves has nonempty int
ersection if and only if all pairwise intersections are nonempty. This resu
lt is equivalent to showing that the boundary complex associated to such a
moduli space is a flag complex. Kyla Quillin extended Giansiracusa's result
to most moduli spaces of genus-g n-pointed curves. We give a complete clas
sification of all (g\,n) pairs for which the boundary complex is a flag com
plex.
DTSTAMP:20201208T192300
DTSTART:20201214T150000
CLASS:PUBLIC
LOCATION:online
SEQUENCE:0
SUMMARY:Dante Luber: Boundary Complexes for Moduli Spaces of Curves
UID:113046669@www.facetsofcomplexity.de
URL:http://www.facetsofcomplexity.de/monday/20201214-C-Luber.html
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