Arithmetic of the moduli of semistable elliptic surfaces

25 Apr 2019 Han Changho Park Jun-Yong

We prove a new sharp asymptotic with the lower order term of zeroth order on $\mathcal{Z}_{\mathbb{F}_q(t)}(\mathcal{B})$ for counting the semistable elliptic curves over $\mathbb{F}_q(t)$ by the bounded height of discriminant $\Delta(X)$. The precise count is acquired by considering the moduli of nonsingular semistable elliptic fibrations over $\mathbb{P}^{1}$, also known as semistable elliptic surfaces, with $12n$ nodal singular fibers and a distinguished section... (read more)

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • ALGEBRAIC GEOMETRY
  • ALGEBRAIC TOPOLOGY
  • NUMBER THEORY
  • SYMPLECTIC GEOMETRY