An upper bound for the minimum genus of a curve without points of small degree

• Autorzy: Claudio Stirpe
• Języki publikacji: EN

Abstrakty

EN

We prove that for any prime p there is a constant Cₚ > 0 such that for any n > 0 and for any p-power q there is a smooth, projective, absolutely irreducible curve over $𝔽_{q}$ of genus g ≤ Cₚqⁿ without points of degree smaller than n.

Kategorie tematyczne

• 11G05: Elliptic curves over global fields
• 11R37: Class field theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2013
• Tom: 160
• Numer: 2
• Strony: 115-128

Daty

wydano

2013

Twórcy

autor

Claudio Stirpe

• Dipartimento di Matematica, Università di Roma 'Sapienza', Via Castello 35, 03029 Veroli (FR), Italy

Identyfikatory

DOI

10.4064/aa160-2-2