Universiteit Leiden

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Dissertation

Tautological differential forms on moduli spaces of curves

In this thesis we study the moduli space of genus g curves, and the differential forms that occur naturally on this moduli space.

Author
Lugt, S. van der
Date
12 April 2022
Links
Thesis in Leiden Repository

In this thesis we study the moduli space of genus g curves, and the differential forms that occur naturally on this moduli space. We show that the rings of these tautological differential forms are finite-dimensional, and discuss algorithms that can be used to compute relations among tautological differential forms.

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