|
18 Mart 2022, 17:00 
Sembolik Hesaplama İstanbul Toplantıları SeminerleriDivisibility of L-Polynomials for a Family of Artin-Schreier Curves Emrah Sercan Yılmaz In this talk we consider the curves $C_k^{(p,a)}: y^p-y = x^{p^k+1} + ax$ defined over $\mathbb F_p$ and give a positive answer to a conjecture about a divisibility condition on $L$-polynomials of the curves $C_k^{(p,a)}$. Our proof involves finding an exact formula for the number of $\mathbb F_{p^n}$-rational points on $C_k^{(p,a)}$ for all $n$, and uses a result we proved elsewhere about the number of rational points on supersingular curves. NOT: Meeting ID: 645 3608 0348 Password: scimtalk Cebir İngilizce Zoom İlgili Web Bağlantısı admin 17.03.2022 |
