Results 21 to 30 of about 51 (51)
The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one
Forum of Mathematics, SigmaThe Manin–Peyre conjecture is established for a class of smooth spherical Fano varieties of semisimple rank one. This includes all smooth spherical Fano threefolds of type T as well as some higher-dimensional smooth spherical Fano varieties.
Valentin Blomer +3 more
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Average Analytic Ranks of Elliptic Curves over Number Fields
Forum of Mathematics, SigmaWe give a conditional bound for the average analytic rank of elliptic curves over an arbitrary number field. In particular, under the assumptions that all elliptic curves over a number field K are modular and have L-functions which satisfy the ...
Tristan Phillips
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Improvements on dimension growth results and effective Hilbert’s irreducibility theorem
Forum of Mathematics, SigmaWe sharpen and generalize the dimension growth bounds for the number of points of bounded height lying on an irreducible algebraic variety of degree d, over any global field.
Raf Cluckers +4 more
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Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics
Open Mathematics, 2014 Bandman Tatiana +2 more
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The groups of points on abelian varieties over finite fields
Open Mathematics, 2010 Rybakov Sergey
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HERON QUADRILATERALS VIA ELLIPTIC CURVES. [PDF]
Rocky Mt J Math, 2017 Izadi F, Khoshnam F, Moody D.
europepmc +1 more source
Lagrangian 4-planes in holomorphic symplectic varieties of K3[4]-type
Open Mathematics, 2014 Bakker Benjamin, Jorza Andrei
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Quartic del Pezzo surfaces over function fields of curves
Open Mathematics, 2014 Hassett Brendan, Tschinkel Yuri
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Transcendental Brauer-Manin obstructions on singular K3 surfaces. [PDF]
Res Number TheoryAlaa Tawfik M, Newton R.
europepmc +1 more source