Tangencial base points on algebraic stacks
Abstract
Description
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.
latex2e with xypic, 20 pages, 2 figures
latex2e with xypic, 20 pages, 2 figures