Projective Surfaces In
نویسنده
چکیده
We answer the first non-classical case of a question of J. Harris from the 1983 ICM: what is the largest possible dimension of a complete subvariety of Mg ? Working over a base field with characteristic 0, we prove that there are no projective surfaces in the moduli space of curves of genus 4; thus proving that the largest possible dimension of a projective subvariety in M4 is 1.
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تاریخ انتشار 2008