The Stack of Rational Nodal Curves

Details The Stack of Rational Nodal Curves The Stack of Rational Nodal Curves

2009-01-09

arxiv.org/abs/0901.1201v1

Mathematics

Algebraic Geometry

14 pages, Latex2e

Scientific paper

In this series of three papers we start to investigate the rational Chow ring of the stack consisting of nodal curves of genus 0, in particular we determine completely the rational Chow ring of the substack consisting of curves with at most 3 nodes. In this first paper we construct the stack of rational nodal curves and its stratification by nodes and show that the map from the universal curve to the stack is not representable in the category of schemes.

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