## Found 1,089 Documents (Results 1–100)

100
MathJax

Full Text:

### Average size of 2-Selmer groups of Jacobians of odd hyperelliptic curves over function fields. (English)Zbl 07612796

MSC:  11G30 14H40
Full Text:

### Root number of the Jacobian of $$y^2 = x^p+a$$. (English. French summary)Zbl 07607144

MSC:  11G20 11G40
Full Text:

### On the parametrization of hyperelliptic fields with $$S$$-units of degrees 7 and 9. (English. Russian original)Zbl 07606791

Math. Notes 112, No. 3, 451-457 (2022); translation from Mat. Zametki 112, No. 3, 444-452 (2022).
MSC:  11Rxx 11Jxx 14Hxx
Full Text:

Full Text:

Full Text:

### On approximate summation of Poincaré series in the Schottky model. (English. Russian original)Zbl 07594421

Dokl. Math. 106, No. 1, 247-250 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 42-45 (2022).
MSC:  30F40
Full Text:

Full Text:

### Summation of Poincaré theta series in the Schottky model. (English. Russian original)Zbl 07576941

Comput. Math. Math. Phys. 62, No. 7, 1059-1073 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 7, 1085-1099 (2022).
MSC:  65B10
Full Text:

Full Text:

Full Text:

### Hyperelliptic odd coverings. (English)Zbl 07571689

MSC:  14H30 14H52 14J10
Full Text:

### An explicit abelian surface with maximal Galois action. (English)Zbl 07566913

MSC:  11G30 11F80 11G10
Full Text:

### Clusters, inertia, and root numbers. (English)Zbl 07556752

MSC:  11G10 11G20 11S05
Full Text:

### Towards a classification of connected components of the strata of $$k$$-differentials. (English)Zbl 1495.14043

MSC:  14H10 32G15 14H15
Full Text:

Full Text:

### Hyperelliptic curves with many automorphisms. (English)Zbl 07536477

MSC:  14H45 14H37 14K22
Full Text:

Full Text:

Full Text:

### Linear complexity of some sequences derived from hyperelliptic curves of genus 2. (English)Zbl 1484.11141

MSC:  11G20 11K45 11T71
Full Text:

Full Text:

### Transcendental number theory. With a new foreword by David Masser. Reprint of the 1990 paperback edition. (English)Zbl 1496.11001

Cambridge Mathematical Library. Cambridge: Cambridge University Press (ISBN 978-1-00-922994-4/pbk; 978-1-00-922993-7/ebook). xiv, 169 p. (2022).
Full Text:

Full Text:

Full Text:

Full Text:

### HECC (hyperelliptic curve cryptography). (English)Zbl 07616634

Bin Ahmad, Khairol Amali (ed.) et al., Functional encryption. Cham: Springer. EAI/Springer Innov. Commun. Comput., 59-78 (2021).
MSC:  94A60 14H52
Full Text:

### Stable models of plane quartics with hyperelliptic reduction. (English)Zbl 07605569

Ballet, Stéphane (ed.) et al., Arithmetic, geometry, cryptography and coding theory, AGC2T, 17th international conference, Centre International de Rencontres Mathématiques, Marseilles, France, June 10–14, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 770, 223-237 (2021).
Full Text:

### Tropicalized quartics and canonical embeddings for tropical curves of genus 3. (English)Zbl 1490.14099

MSC:  14T10 14H50
Full Text:

### On the classification problem for polynomials $$f$$ with a periodic continued fraction expansion of $$\sqrt{f}$$ in hyperelliptic fields. (English. Russian original)Zbl 1483.11123

Izv. Math. 85, No. 5, 972-1007 (2021); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 5, 152-189 (2021).
Full Text:

### The rationality of the moduli space of two-pointed ineffective spin hyperelliptic curves. (English)Zbl 1486.14042

MSC:  14H10 14E08 14M20
Full Text:

### Computing projective equivalences of planar curves birationally equivalent to elliptic and hyperelliptic curves. (English)Zbl 1480.65042

MSC:  65D17 65D18
Full Text:

### Generalizations of Jacobsthal sums and hypergeometric series over finite fields. (English)Zbl 1475.11214

MSC:  11T24 11G20
Full Text:

Full Text:

### Space curves, $$X$$-ranks and cuspidal projections. (English)Zbl 1476.14066

MSC:  14H50 14N05
Full Text:

### Fast scalar multiplication of degenerate divisors for hyperelliptic curve cryptosystems. (English)Zbl 07424132

MSC:  11G20 14G50
Full Text:

Full Text:

Full Text:

### Correlation of shifted values of $$L$$-functions in the hyperelliptic ensemble. (English)Zbl 1483.11255

MSC:  11R59 11T06 11M50
Full Text:

### Towards the Sato-Tate groups of trinomial hyperelliptic curves. (English)Zbl 1474.11121

MSC:  11G30 11G10
Full Text:

### Brauer groups of moduli of hyperelliptic curves via cohomological invariants. (English)Zbl 1486.14025

MSC:  14F22 14H10 14D23
Full Text:

### Characterizing gonality for two-component stable curves. (English)Zbl 1471.14063

MSC:  14H10 14H51
Full Text:

### Local deformations of branched projective structures: Schiffer variations and the Teichmüller map. (English)Zbl 1480.57025

MSC:  57M50 14H15 32G05
Full Text:

Full Text:

Full Text:

### Factoring polynomials over finite fields. (English)Zbl 1471.11288

MSC:  11T06 14H40 11G99
Full Text:

### Cohomological invariants of the stack of hyperelliptic curves of odd genus. (English)Zbl 1486.14038

MSC:  14H10 14D23
Full Text:

### Two-descent on some genus two curves. (English)Zbl 1480.11082

MSC:  11G30 14G05
Full Text:

### Invariant algebraic curves and hyperelliptic limit cycles of Liénard systems. (English)Zbl 1478.34041

MSC:  34C07 34C05 34C45
Full Text:

### Hyperelliptic curves and newform coefficients. (English)Zbl 1487.11064

MSC:  11G30 11F30
Full Text:

Full Text:

### Pencils on surfaces with normal crossings and the Kodaira dimension of $$\overline{\mathcal{M}}_{g,n}$$. (English)Zbl 1462.14030

MSC:  14H10 14H45 14M20
Full Text:

### Tropical hyperelliptic curves in the plane. (English)Zbl 1460.14147

MSC:  14T20 14H51
Full Text:

Full Text:

Full Text:

Full Text:

Full Text:

### Rational triangles as a bridge between geometry and number theory. (English)Zbl 07576754

MSC:  14G05 11G30 11Y50
Full Text:

### Models of hyperelliptic curves with tame potentially semistable reduction. (English)Zbl 1492.11107

MSC:  11G20 14H25
Full Text:

### Study on the Jacobian varieties of hyperelliptic curves over finite fields. (English)Zbl 07540100

MSC:  11G10 11G25
Full Text:

### The rigid body dynamics in an ideal fluid: Clebsch top and Kummer surfaces. (English)Zbl 1483.37075

Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 2. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 459, 288-312 (2020).
Full Text:

### The number of partitions of a set and superelliptic Diophantine equations. (English)Zbl 1470.11177

Raigorodskii, Andrei M. (ed.) et al., Discrete mathematics and applications. Cham: Springer. Springer Optim. Appl. 165, 35-55 (2020).
Full Text:

### Division polynomials for hyperelliptic curves defined by Dickson polynomials. (English)Zbl 1470.11173

MSC:  11G20 94A60
Full Text:

### Differential forms on hyperelliptic curves with semistable reduction. (English)Zbl 1469.11205

MSC:  11G20 14H25 11G40
Full Text:

### Periodic trajectories of ellipsoidal billiards in the 3-dimensional Minkowski space. (English)Zbl 1464.37063

Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer. Springer Proc. Math. Stat. 338, 159-174 (2020).
Full Text:

### Genus 3 hyperelliptic curves with CM via Shimura reciprocity. (English)Zbl 1457.11093

Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 4, 161-178 (2020).
MSC:  11G30 11G15
Full Text:

Full Text:

### Hyperelliptic curves with maximal Galois action on the torsion points of their Jacobians. (English)Zbl 1456.11118

MSC:  11G30 14H40
Full Text:

Full Text:

Full Text:

Full Text:

### On calculation of the group of automorphisms of hyperelliptic curves. (English. Russian original)Zbl 1451.14166

J. Math. Sci., New York 251, No. 3, 395-404 (2020); translation from Zap. Nauchn. Semin. POMI 485, 140-154 (2019).
Full Text:

Full Text:

Full Text:

### Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves. (English)Zbl 1456.11101

MSC:  11G05 11R29
Full Text:

Full Text:

Full Text:

Full Text:

Full Text:

Full Text:

### On $$S$$-units for valuations of the second degree in hyperelliptic fields. (English. Russian original)Zbl 1457.11159

Izv. Math. 84, No. 2, 392-435 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 2, 197-242 (2020).
MSC:  11R58 11J70 11R27
Full Text:

### Gaps between divisible terms in $$a^2(a^2 + 1)$$. (English)Zbl 1468.11196

Bull. Aust. Math. Soc. 101, No. 3, 396-400 (2020); correction ibid. 103, No. 1, 176 (2021).
Full Text:

### Computing the topology of a plane or space hyperelliptic curve. (English)Zbl 1442.14182

MSC:  14Q05 14H50
Full Text:

### The moduli space of real vector bundles of rank two over a real hyperelliptic curve. (English)Zbl 1445.14052

MSC:  14H60 14H81 14P05
Full Text:

Full Text:

Full Text:

### On the number of hyperelliptic limit cycles of Liénard systems. (English)Zbl 1453.34045

MSC:  34C05 34C07 34A34
Full Text:

Full Text:

Full Text:

Full Text:

### Twists of hyperelliptic curves by integers in progressions modulo $$p$$. (English)Zbl 1469.11214

MSC:  11G30 11N32 11N36
Full Text:

Full Text:

Full Text:

### Polynomial Pell equations $$P(x)^2-(x^{2m}+ax+b) Q(x)^2 = 1$$ and associated hyperelliptic curves. (English)Zbl 1441.11168

MSC:  11G30 11G20 11G25
Full Text:

Full Text:

### Chabauty-Coleman experiments for genus 3 hyperelliptic curves. (English)Zbl 1436.11149

Balakrishnan, Jennifer S. (ed.) et al., Research directions in number theory. Women in numbers IV. Proceedings of the women in numbers, WIN4 workshop. Banff International Research Station, Banff, Alberta, Canada, August 14–18, 2017. Cham: Springer. Assoc. Women Math. Ser. 19, 67-90 (2019).
Full Text:

### Jacobian versus infrastructure in split hyperelliptic curves. (English)Zbl 1442.14101

Gueye, Cheikh Thiecoumba (ed.) et al., Algebra, codes and cryptology. Proceedings of the first international conference, A2C 2019, in honor of Prof. Mamadou Sanghare, Dakar, Senegal, December 5–7, 2019. Cham: Springer. Commun. Comput. Inf. Sci. 1133, 183-203 (2019).
Full Text:

### Hyperelliptic curves and arithmetic functions. (English)Zbl 1449.11074

MSC:  11F41 11G30 20H05
Full Text:

all top 5

all top 5

all top 5

all top 3

all top 3