Tautological differential forms on moduli spaces of curves

Author(s):
Lugt, S. van der
Published
2022
Publication type
Doctoral Thesis

Abstract

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.

Algebraic geometryComplex geometryModuli spacesStacksTautological ringTautological differential forms
Defense date
2022-04-12
Language
English
Supervisor(s)
Luijk, R.M. van; Edixhoven, S.J.
Advisor(s)
Jong, R.S. de
Committee member(s)
Faber, C.F.; Holmes, D.S.T.; Petersen, D.; Spieksma, F.M.
Qualification
Ph.D.
Degree granting institution
Mathematical Institute (MI), Faculty of Science, Leiden University, Leiden
hdl
1887/3282007

Funding

Sponsorship
The research for this thesis was financed by TOP grant 613.001.401 "Refined tautological relations on moduli spaces of curves" of the Dutch Research Council (NWO)