2015
DOI: 10.48550/arxiv.1503.03276
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Statistics for biquadratic covers of the projective line over finite fields

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Cited by 2 publications
(3 citation statements)
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“…Bucur, David, Feigon and Lalin [2], [3] then extended this to prime cyclic curves (G = Z/QZ, Q a prime). Lorenzo, Meleleo and Milione [9] then proved this for n-quadratic curves (G = (Z/2Z) n ). The author [10], [11] completes this for any abelian group.…”
Section: Introductionmentioning
confidence: 84%
“…Bucur, David, Feigon and Lalin [2], [3] then extended this to prime cyclic curves (G = Z/QZ, Q a prime). Lorenzo, Meleleo and Milione [9] then proved this for n-quadratic curves (G = (Z/2Z) n ). The author [10], [11] completes this for any abelian group.…”
Section: Introductionmentioning
confidence: 84%
“…First we need two lemmas from other papers. The first one is Lemma 6.4 from [5] saying Lemma 3.1 (Lemma 6.4 from [5]). Let d 1 , .…”
Section: Set Countmentioning
confidence: 99%
“…Hyperelliptic curves are in one-to-one correspondence with Galois extensions of F q (X) with Galois group Z/2Z. Bucur, David, Feigon and Lalin [1], [2] extended this result to smooth projective curves that are in one-to-one correspondence with Galois extensions of F q (X) with Galois group Z/pZ, where p is a prime such that q ≡ 1 mod p. Recently Lorenzo, Milione and Meleleo [5] determined the case for Galois group (Z/2Z) n . In this paper we determine the case for cyclic Galois groups Z/rZ for any q ≡ 1 mod r where r is not necessarily a prime.…”
Section: Introductionmentioning
confidence: 99%