Toric Degenerations of GIT Quotients, Chow Quotients, and $\bar{M_{0,n}$

dc.creatorHu, Yi
dc.date2006-07-31
dc.date.accessioned2026-07-07T07:21:13Z
dc.date.available2026-07-07T07:21:13Z
dc.descriptionWe show that the moduli space of stable n-pointed rational curves can be flatly degenerated to a projective toric variety. We arrive at this by showing that the Chow quotients of the Grassmannians admit toric degenerations, which in turn, follows from a theorem that we prove for toric degenerations of more general Chow quotients. Along the way, we also argued that GIT quotient of a flat family is again flat. In particular, all GIT quotients of flag varieties by maximal tori can be flatly degenerated to projective toric varieties ([9] and [12]).
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0607824
dc.identifierhttp://arxiv.org/abs/math/0607824
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115224
dc.subjectAlgebraic Geometry
dc.titleToric Degenerations of GIT Quotients, Chow Quotients, and $\bar{M_{0,n}$
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