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math.AG2014★ 1 cited
Extremal effective divisors of Brill-Noether and Gieseker-Petri type in
Dawei Chen, Anand Patel
We show that certain divisors of Brill-Noether and Gieseker-Petri type span extremal rays of the effective cone in the moduli space of stable genus one curves with ordered mark…
math.AG2014★ 13 cited
The Picard rank conjecture for the Hurwitz spaces of degree up to five
Anand Deopurkar, Anand Patel
We prove that the rational Picard group of the simple Hurwitz space is trivial for up to five. We also relate the rational Picard groups of the Hurwitz spa…