## Found 314 Documents (Results 1–100)

### Bounds for 2-Selmer ranks in terms of seminarrow class groups.(English)Zbl 07606591

MSC:  11G05 11G07 11R29
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### Chromatic Selmer groups and arithmetic invariants of elliptic curves.(English. French summary)Zbl 1489.11098

MSC:  11G40 11R23 14H52
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### The Mordell-Weil bases for the elliptic curve $$y^2=x^3-m^2x+m^2$$.(English)Zbl 07442479

MSC:  11G05 11D59
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### Regulators of elliptic curves.(English)Zbl 1493.11093

MSC:  11G05 11G50 14H52
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### On torsion of superelliptic Jacobians.(English. French summary)Zbl 1475.14054

MSC:  14H40 14G10 14H45
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### Non-vanishing theorems for central $$L$$-values of some elliptic curves with complex multiplication.(English)Zbl 1487.11059

MSC:  11G15 11G05 11G40
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### Algebraic points of degree at most 2 on the affine curve $$y^{11} = x^2 (x - 1)^2$$.(English)Zbl 1460.14058

Seck, Diaraf (ed.) et al., Nonlinear analysis, geometry and applications. Proceedings of the first biennial international research symposium, NLAGA-BIRS, Dakar, Senegal, June 24–28, 2019. Cham: Birkhäuser. Trends Math., 459-462 (2020).
MSC:  14G25 14H25 11G30
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### Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields.(English)Zbl 1465.11002

Memoirs of the American Mathematical Society 1295. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4219-4/pbk; 978-1-4704-6253-6/ebook). v, 131 p. (2020).
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### On the arithmetic of abelian varieties.(English)Zbl 1465.11152

MSC:  11G10 14K15
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### Structure of the Mordell-Weil group over the $$\mathbb{Z}_p$$-extensions.(English)Zbl 1471.11269

MSC:  11R23 11G05 11R18
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### A note on the topology of arrangements for a smooth plane quartic and its bitangent lines.(English)Zbl 1423.14227

MSC:  14J27 14H30 14H50
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### Cyclic components of quotients of abelian varieties mod $$p$$.(English)Zbl 1444.11128

MSC:  11G10 11G15
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### On the Mazur-Tate refined conjecture of BSD type.(Japanese. English summary)Zbl 1423.11117

MSC:  11G40 11G05 11R34

MSC:  14H52
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### The Mordell-Weil bases for the elliptic curve of the form $$y^2 = x^3-m^2x + n^2$$.(English)Zbl 1413.11081

MSC:  11G05 11D59 11G50
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### Abelian Calabi-Yau threefolds: Néron models and rational points.(English)Zbl 1404.14048

MSC:  14J32 14J30 14G05
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### Commensurability in Mordell-Weil groups of abelian varieties and tori.(English)Zbl 1491.11060

MSC:  11G10 14K15
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### F-theory models on $$K3$$ surfaces with various Mordell-Weil ranks – constructions that use quadratic base change of rational elliptic surfaces.(English)Zbl 1391.83112

MSC:  83E30 22E10 53Z05
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### Geometry of bisections of elliptic surfaces and Zariski $$N$$-plets. II.(English)Zbl 1388.14111

MSC:  14J27 14E20
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MSC:  11G05
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MSC:  14J27
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### Complete characterization of the Mordell-Weil group of some families of elliptic curves.(English)Zbl 1373.11046

MSC:  11G05 14H52
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### Control of $$\Lambda$$-adic Mordell-Weil groups.(English)Zbl 1410.11089

Loeffler, David (ed.) et al., Elliptic curves, modular forms and Iwasawa theory. In honour of John H. Coates’ 70th birthday, Cambridge, UK, March 2015. Proceedings of the conference and the workshop. Cham: Springer. Springer Proc. Math. Stat. 188, 253-294 (2016).
MSC:  11G40 11G18 11F33
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### Infinitely many elliptic curves of rank exactly two.(English)Zbl 1350.11064

MSC:  11G05 11G40
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### On cubic elliptic varieties.(English)Zbl 1332.14012

MSC:  14C20 14E05
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### A quadratic point on the Jacobian of the universal genus four curve.(English)Zbl 1419.14043

MSC:  14H40 14H45 14G05
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### On the elliptic curves of the form $$y^2 = x^3 - pqx$$.(English)Zbl 1395.11087

MSC:  11G05 14H52
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MSC:  11G05
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### Geometry of bisections of elliptic surfaces and Zariski $$N$$-plets for conic arrangements.(English)Zbl 1327.14177

MSC:  14J27 14E20
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### Quadratic Diophantine equations. With a foreword by Preda Mihăilescu.(English)Zbl 1376.11001

Developments in Mathematics 40. New York, NY: Springer (ISBN 978-0-387-35156-8/hbk; 978-0-387-54109-9/ebook). xviii, 211 p. (2015).
MSC:  11-02 11D09 11J70
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### On the elliptic curves of the form $$y^2=x^3-3px$$.(English)Zbl 1364.11104

MSC:  11G05 14H52
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### Lower bounds of the canonical height on quadratic twists of elliptic curves.(English)Zbl 1322.11059

MSC:  11G05 11G50 11G07
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MSC:  11G05

MSC:  11G05
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### Automorphism groups of rational elliptic surfaces with section and constant $$J$$-map.(English)Zbl 1298.14044

MSC:  14J50 14J27 14J26
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### Sections of elliptic surfaces and Zariski pairs for conic-line arrangements via dihedral covers.(English)Zbl 1300.14018

MSC:  14E20 14J27 14J26
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### Sums of two biquadrates and elliptic curves of rank $$\geq 4$$.(English)Zbl 1294.11089

MSC:  11G05 11E25
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### Explicit descent in the Picard group of a cyclic cover of the projective line.(English)Zbl 1345.11036

Howe, Everett W. (ed.) et al., ANTS X. Proceedings of the tenth algorithmic number theory symposium, San Diego, CA, USA, July 9–13, 2012. Berkeley, CA: Mathematical Sciences Publishers (MSP) (ISBN 978-1-935107-00-2/hbk; 978-1-935107-01-9/ebook). The Open Book Series 1, 295-315 (2013).
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### Success and challenges in determining the rational points on curves.(English)Zbl 1344.11048

Howe, Everett W. (ed.) et al., ANTS X. Proceedings of the tenth algorithmic number theory symposium, San Diego, CA, USA, July 9–13, 2012. Berkeley, CA: Mathematical Sciences Publishers (MSP) (ISBN 978-1-935107-00-2/hbk; 978-1-935107-01-9/ebook). The Open Book Series 1, 187-212 (2013).

### Mordell-Weil group of the twist family of elliptic curves and related topics.(Japanese. English summary)Zbl 1318.11077

MSC:  11G05 11G50

### The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point.(English)Zbl 1303.11072

Prasad, D. (ed.) et al., Automorphic representations and $$L$$-functions. Proceedings of the international colloquium, Mumbai, India, January 3–11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research (ISBN 978-93-80250-49-6/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 22, 23-91 (2013).
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### On the Selmer groups and Mordell-Weil groups of elliptic curves $$y^2 = x(x \pm p)(x \pm q)$$ over imaginary quadratic number fields of class number one.(English)Zbl 1299.11046

MSC:  11G05 14H52
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### Extremal hyperelliptic fibrations on rational surfaces.(English)Zbl 1312.14089

MSC:  14J26 14D06
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### Characterizing abelian varieties by the reduction of the Mordell-Weil group.(English)Zbl 1288.11059

MSC:  11G05 11G10
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### On Mordell-Weil groups of isotrivial abelian varieties over function fields.(English)Zbl 1283.14017

MSC:  14K22 14H30 11G10
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### Relative dihedral group actions on rational elliptic surfaces.(English)Zbl 1314.14068

MSC:  14J27 14E07
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### Detecting linear dependence on an abelian variety via reduction maps.(English)Zbl 1303.11069

MSC:  11G10 11G05 14K15
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### Infinite rank of elliptic curves over $$\mathbb{Q}^{\mathrm{ab}}$$.(English)Zbl 1272.11077

MSC:  11G05 14H52
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### A note on quadratic residue curves on rational ruled surfaces.(English)Zbl 1325.14028

Nakamura, Hiroaki (ed.) et al., Galois-Teichmüller theory and arithmetic geometry. Selected papers based on the presentations at the workshop and conference, Kyoto, Japan, October 25–30, 2010. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-014-3/hbk). Advanced Studies in Pure Mathematics 63, 565-577 (2012).

MSC:  11G05

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### On combinatorial invariance of the cohomology of the Milnor fiber of arrangements and the Catalan equation over function fields.(English)Zbl 1260.14035

Terao, Hiroaki (ed.) et al., Arrangements of hyperplanes. Proceedings of the 2nd Mathematical Society of Japan-Seasonal Institute, MSJ-SI, Sapporo, Japan, August 1–13, 2009. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-67-9/hbk). Advanced Studies in Pure Mathematics 62, 175-187 (2012).
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### On the family of elliptic curves $$Y^{2}=X^{3}-T^{2}X+1$$.(English)Zbl 1254.11057

MSC:  11G05 14H52
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MSC:  14J27
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### On the Mordell-Weil group of the elliptic curve.(English)Zbl 1308.11059

MSC:  11G05 11G50
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### On the structure of the Mordell-Weil groups of the Jacobians of curves defined by $$y^n=f(x)$$.(English)Zbl 1275.11101

MSC:  11G10 11G30

### Proving the Birch and Swinnerton-Dyer conjecture for specific elliptic curves of analytic rank zero and one.(English)Zbl 1300.11074

MSC:  11G40 11G05 11Y35
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### On the classification of degree 1 elliptic threefolds with constant $$j$$-invariant.(English)Zbl 1283.14014

MSC:  14J30 11G05 14J27
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MSC:  11G05
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### On arithmetic in Mordell-Weil groups.(English)Zbl 1281.11061

MSC:  11G10 14K15
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### On several families of elliptic curves with arbitrary large Selmer groups.(English)Zbl 1239.11066

MSC:  11G05 11G20
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### Algebraic points on some Fermat curves and some quotients of Fermat curves: progress.(English)Zbl 1213.11133

MSC:  11G30 14G05 14H25

### Ranks of twists of elliptic curves and Hilbert’s tenth problem.(English)Zbl 1227.11075

MSC:  11G05 11G40
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### Generators for the elliptic curve $$y^2=x^3-nx$$.(English)Zbl 1198.11053

Komatsu, Takao (ed.), Diophantine analysis and related fields 2010. DARF–2010. Proceedings of the conference, Musashino, Tokyo, Japan, March 4–5, 2010. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0815-9). AIP Conference Proceedings 1264, 1-6 (2010).
MSC:  11G05 11G50 14G05
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### On rational elliptic surfaces with Mordell-Weil group of rank five.(English)Zbl 1200.14069

MSC:  14J27 14J26

### Construction of linear pencils of cubics with Mordell-Weil rank five.(English)Zbl 1201.14027

MSC:  14J27 14J26 14H52

### On the Mordell-Weil groups of Jacobians of hyperelliptic curves over certain elementary Abelian 2-extensions.(English)Zbl 1196.11082

MSC:  11G10 11G05
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### Some explicit integral polynomials with Galois group $$W(E_8)$$.(English)Zbl 1266.12003

MSC:  12F10 11R32
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### The arithmetic of elliptic curves – an update.(English)Zbl 1229.11088

MSC:  11G05 11G40 11-02

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