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A Desingularization of the Main Component of the Moduli Space of Genus-One Stable Maps into P n
Genus-One Stable Maps Moduli
2015/7/14
We construct a natural smooth compacti cation of the space of smooth genus-one curves with
k distinct points in a projective space. It can be viewed as an analogue of a well-known smooth
compacti ca...
Partial desingularizations of good moduli spaces of Artin toric stacks
Partial desingularizations good moduli spaces of Artin toric stacks
2011/1/19
Let X be an Artin stack with good moduli space X → M. We define the Reichstein transform of X relative to a closed substack C ⊂ X to be the complement of the strict transform of the saturation o...
Local Structure of Moduli Spaces
boundedness connections differential operators good quotients
2010/12/3
We provide a sketch of the GIT construction of the moduli spaces for the three classes of connections: the class of meromorphic connections with fixed divisor of poles D and its subclasses of integrab...