A Compactification of the Moduli Space of Self-maps of Cp via Stable Maps

نویسنده

  • JOHANNES SCHMITT
چکیده

We present a new compactification M(d, n) of the moduli space of self-maps of CP of degree d with n markings. It is constructed via GIT from the stable maps moduli space M0,n(CP 1 ×CP, (1, d)). We show that it is the coarse moduli space of a smooth Deligne-Mumford stack and we compute its rational Picard group.

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تاریخ انتشار 2017