A compactification of the space of maps from curves

Kim, Bumsig; Kresch, Andrew; Oh, Yong-Geun

doi:10.1090/S0002-9947-2013-05845-X

A compactification of the space of maps from curves
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by Bumsig Kim, Andrew Kresch and Yong-Geun Oh PDF

Trans. Amer. Math. Soc. 366 (2014), 51-74 Request permission

Abstract:

We construct a new compactification of the moduli space of maps from pointed nonsingular projective stable curves to a nonsingular projective variety with prescribed ramification indices at the points. It is shown to be a proper Deligne-Mumford stack equipped with a natural virtual fundamental class.

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