Enumerating odd-degree hyperelliptic curves and abelian surfaces over \(\mathbb{P}^1\)

• Published in: arXiv.org
• Main Authors: Han, Changho, Jun-Yong, Park
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 07.02.2022
• Subjects: Algebra; Arithmetic; Counting

Given 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 enumeratio...