Tangencial base points on algebraic stacks

Details Tangencial base points on algebraic stacks Tangencial base points on algebraic stacks

2001-11-07

arxiv.org/abs/math/0111072v1

Mathematics

Algebraic Geometry

latex2e with xypic, 20 pages, 2 figures

Scientific paper

The notion of tangencial base point is well-known for schemes in
characteristic zero. We show that the definition in terms of Puiseux series
generalizes to the case of Deligne--Mumford stacks, over a field of arbitrary
characteristic. We then apply this construction to moduli spaces of smooth
curves, generalizing a result of Ihara-Nakamura.

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