Scopus
YÖKSİS Eşleşti
Curves with many rational points via Atkin–Lehner involution
Boletin De La Sociedad Matematica Mexicana · Temmuz 2025
YÖKSİS Kayıtları
Curves with many rational points via Atkin–Lehner involution
Boletín de la Sociedad Matemática Mexicana · 2025 ESCI
ARAŞTIRMA GÖREVLİSİ VURAL CAM →
Makale Bilgileri
DergiBoletin De La Sociedad Matematica Mexicana
Yayın TarihiTemmuz 2025
Cilt / Sayfa31
Scopus ID2-s2.0-105003170593
Özet
In this article, we use reductions of the Drinfeld modular curves X0(n) to obtain curves over finite fields Fq of a given genus with many Fq-rational points. The main idea is to divide the Drinfeld modular curves by an Atkin–Lehner involution, which has many fixed points to obtain a quotient with a better #{rational points}genus ratio. If we divide the Drinfeld modular curve X0(n) by an involution W, then the number of rational points of the quotient curve W\X0(n) is not less than half of the original number. On the other hand, if this involution has many fixed points, then by the Hurwitz genus formula, the genus of the curve W\X0(n) is much less than half of the g(X0(n)).
Yazarlar (2)
1
Vural Cam
2
Ferruh Özbudak
ORCID: 0000-0002-1694-9283
Anahtar Kelimeler
Atkin–Lehner involution
Curves with many rational points
Drinfeld modular curves
Kurumlar
Sabancı Üniversitesi
Tuzla Turkey
Selçuk Üniversitesi
Selçuklu Turkey