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- W2779783216 abstract "We compute the Picard group of the moduli stack of genus zero stable quasimapsto projective space, Grassmannians, and any flag variety in the case of more than 2markings. Furthermore, in the case of exactly 2 markings, we calculate the Picardgroup of the moduli stack of genus zero stable quasimaps to projective space, Grassmannians,and to partial flag varieties where the ranks of the subspaces differ bymore than 1. The first two moduli stacks mentioned are the moduli stacks of stablequotients, constructed by Alina Marian, Dragos Oprea, and Rahul Pandharipande.The latter is a generalization of this theory, due to Ionut-Ciocan Fontanine, BumsigKim, and Davesh Maulik. Projectivity of the coarse moduli space is proved first.The Picard rank is obtained using a torus action on the moduli stack to performtangent space calculations. When the number of markings is greater than or equal to 3, generators aredetermined by a geometric analysis of the interior of the moduli stack. When thenumber of markings is 2, generators and relations are found by intersecting withcurves." @default.
- W2779783216 created "2018-01-05" @default.
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- W2779783216 date "2017-01-01" @default.
- W2779783216 modified "2023-09-27" @default.
- W2779783216 title "The Picard Group of the Moduli Space of Genus Zero Stable Quotients to Flag Varieties - eScholarship" @default.
- W2779783216 hasPublicationYear "2017" @default.
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