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BIRS Workshop Lecture Videos

Curves in Hilbert modular varieties Rousseau, Erwan


We study curves in Hilbert modular varieties from the point of view of the Green-Gri\0ths-Lang conjecture claiming that entire curves in complex projective varieties of general type should be contained in a proper subvariety. Using holomorphic foliations theory, we establish the Second Main Theorem in this context as well as a function field analogue of Vojta’s conjecture. We also establish the strong Green-Gri\0ths-Lang conjecture for Hilbert modular varieties up to finitely many possible exceptions. (Joint work with F. Touzet)

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