Author:
Han Changho,Park Jun-Yong
Abstract
AbstractGiven asymptotic counts in number theory, a question of Venkatesh asks what is the topological nature of lower order terms. We consider the arithmetic aspect of the inertia stack of an algebraic stack over finite fields to partially answer this question. Subsequently, we acquire new sharp enumerations of quasi-admissible odd-degree hyperelliptic curves over $${\mathbb {F}}_q(t)$$
F
q
(
t
)
ordered by discriminant height.
Publisher
Springer Science and Business Media LLC
Reference31 articles.
1. Abramovich, D., Graber, T., Vistoli, A.: Gromov–Witten theory of Deligne–Mumford stacks. Am. J. Math. 130(5), 1337–1398 (2008)
2. Abramovich, D., Olsson, M., Vistoli, A.: Tame stacks in positive characteristic. Annales de l’Institut Fourier 58(4), 1057–1091 (2008)
3. Behrend, K.A.: The Lefschetz trace formula for algebraic stacks. Invent. Math. 112(1), 127–149 (1993)
4. Bhargava, M., Gross, B.: The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point, automorphic representations and L-functions. Stud. Math. 22, 23–91 (2013)
5. de Jong, A.J.: Counting elliptic surfaces over finite fields. Moscow Math. J. 2(2), 281–311 (2002)
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