Admissible Covers and the ELSV Compactification

Bashar Dudin (1)

1 IF - Institut Fourier

We revisit Ekedahl, Lando, Shapiro and Vainshtein's compactification of the stack of Hurwitz covers. By drawing a connection with the Harris and Mumford stack of admissible covers we give a new geometric interpretation of boundary points of the ELSV compactification. As a byproduct we establish that this compactification holds for any algebraically closed field of sufficiently high characteristic.

Mots clés: Stacks and moduli problems. Ramified covers of the projective line; Stacks and moduli problems. Ramified covers of the projective line.

Domaines: Géométrie algébrique [math.AG]

Bashar Dudin. Admissible Covers and the ELSV Compactification. 2012. ⟨hal-00705862v1⟩