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arXiv · 2301.00381

Universal degeneration of Riemann surfaces and fibered complex surfaces

Tadashi Ashikaga·Yukio Matsumoto
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Abstract

Based on Teichm\"uller theory, we construct a degenerating family $\overline{Y}_g^{orb} \rightarrow \overline{M}_g^{orb}$ over the Deligne-Mumford compactification of the moduli space with the natural orbifold structure such that any fibered complex surface admitting unstable fibers can be pulled back from this family.

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Tadashi Ashikaga, Yukio Matsumoto. 2023-01-01. Universal degeneration of Riemann surfaces and fibered complex surfaces. https://arxiv.org/abs/2301.00381

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