Terminality of moduli spaces of curves on hypersurfaces via the circle method
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Jakob Glas(Leibniz Universität Hannover)
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Europe/Paris
Salle Grisvard, IHP, Paris
Salle Grisvard, IHP, Paris
Description
I will report on joint work with Matthew Hase-Liu that shows that the moduli space of genus curves of degree on a smooth hypersurface of low degree only has terminal singularities, provided is sufficiently large with respect to . Using a spreading argument together with a result of Mustata, we reduce the problem to counting points over finite fields on the jet schemes of these moduli spaces. We solve this counting problem by developing a suitable version of the circle method.