Results 21 to 30 of about 541 (49)
, 2017 In this paper we study the dynamics of rational maps induced by endomorphisms of ordinary elliptic curves defined over finite fields.Comment: 21 pages, Introduction revised, Section 3.2 revised, minor ...
Ugolini, Simone
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Maximal curves from subcovers of the GK-curve
, 2015 For every $q=n^3$ with $n$ a prime power greater than $2$, the GK-curve is an $\mathbb F_{q^2}$-maximal curve that is not $\mathbb F_{q^2}$-covered by the Hermitian curve. In this paper some Galois subcovers of the GK curve are investigated.
Giulietti, Massimo +2 more
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The Intersection of Two Fermat Hypersurfaces in P^3 via Computation of Quotient Curves [PDF]
, 2010 We study the intersection of two particular Fermat hypersurfaces in $\mathbb{P}^3$ over a finite field. Using the Kani-Rosen decomposition we study arithmetic properties of this curve in terms of its quotients.
McGuire, Gary, Singh, Vijaykumar
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Character Sums, Gaussian Hypergeometric Series, and a Family of Hyperelliptic Curves
, 2015 We study the character sums \[\phi_{(m,n)}(a,b)=\sum_{x\in\mathbb{F}_q}\phi\left(x(x^{m}+a)(x^{n}+b)\right),\textrm{ and, } \psi_{(m,n)}(a,b)=\sum_{x\in\mathbb{F}_q}\phi\left((x^{m}+a)(x^{n}+b)\right)\] where $\phi$ is the quadratic character defined ...
Sadek, Mohammad
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Sato-Tate distribution of <i>p</i>-adic hypergeometric functions. [PDF]
Res Number Theory, 2023 Pujahari S, Saikia N.
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A taste of Weil theory in characteristic one
, 2015 In this very short and sketchy chapter, we draw some pictures on the arithmetic theory of $\mathbb{F}_1$.Comment: 23 pages; to appear as a chapter in the monograph "Absolute Arithmetic and $\mathbb{F}_1$-Geometry" (ed. K.
Thas, Koen
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Impact of Chromosomal Rearrangements on the Interpretation of Lupin Karyotype Evolution. [PDF]
Genes (Basel), 2019 Susek K +6 more
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Three-torsion subgroups and wild conductor exponents of plane quartics. [PDF]
Res Number TheoryLupoian E, Rawson J.
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2013
Let R be a complete discrete valuation ring of mixed characteristic (0, p) with fraction field K. The stable reduction theorem affirms that given a smooth, projective, geometrically connected curve over K, C/K, with genus \geq 2, there exists a unique finite Galois extension M/K minimal for the inclusion relation such that C_{M}:= C x M has stable ...
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Let R be a complete discrete valuation ring of mixed characteristic (0, p) with fraction field K. The stable reduction theorem affirms that given a smooth, projective, geometrically connected curve over K, C/K, with genus \geq 2, there exists a unique finite Galois extension M/K minimal for the inclusion relation such that C_{M}:= C x M has stable ...
openaire +1 more source