## Found 484 Documents (Results 1–100)

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### Linear complexity of some sequences derived from hyperelliptic curves of genus 2. (English)Zbl 07513134

MSC:  11G20 11K45 11T71
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### Implementation of point-counting algorithms on genus 2 hyperelliptic curves based on the birthday paradox. (English)Zbl 07510667

MSC:  68-XX 65-XX
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### Algebro-geometric constructions of the Heisenberg hierarchy. (English)Zbl 07486817

MSC:  37-XX 82-XX
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### Lefschetz fibrations. (English. Japanese original)Zbl 1480.57020

Sugaku Expo. 34, No. 2, 175-204 (2021); translation from Sūgaku 69, No. 2, 157-180 (2017).
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### The rationality of the moduli space of two-pointed ineffective spin hyperelliptic curves. (English)Zbl 07456272

MSC:  14H10 14E08 14M20
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### Space curves, $$X$$-ranks and cuspidal projections. (English)Zbl 1476.14066

MSC:  14H50 14N05
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### Fast scalar multiplication of degenerate divisors for hyperelliptic curve cryptosystems. (English)Zbl 07424132

MSC:  11G20 14G50
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### Towards the Sato-Tate groups of trinomial hyperelliptic curves. (English)Zbl 1474.11121

MSC:  11G30 11G10
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### Two-descent on some genus two curves. (English)Zbl 1480.11082

MSC:  11G30 14G05
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### Quasi-periodic solutions of the Heisenberg hierarchy. (English)Zbl 1470.37088

MSC:  37K10 37K20
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### Affine variety codes over a hyperelliptic curve. (English. Russian original)Zbl 07340315

Probl. Inf. Transm. 57, No. 1, 84-97 (2021); translation from Probl. Peredachi Inf. 57, No. 1, 96-111 (2021).
MSC:  94B27
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### 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).
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### Division polynomials for hyperelliptic curves defined by Dickson polynomials. (English)Zbl 1470.11173

MSC:  11G20 94A60
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### 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
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### Bounds of the rank of the Mordell-Weil group of Jacobians of hyperelliptic curves. (English. French summary)Zbl 1475.11120

MSC:  11G10 14K15
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### 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).
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### The moduli space of real vector bundles of rank two over a real hyperelliptic curve. (English)Zbl 1445.14052

MSC:  14H60 14H81 14P05
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### 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).
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### Weierstrass points on hyperelliptic modular curves. (English)Zbl 1442.14106

MSC:  14H55 11G18
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### On monodromy in families of elliptic curves over $$\mathbb{C}$$. (English)Zbl 1458.14013

MSC:  14D05 14H52 14J26
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### Constructing hyperelliptic covers for elliptic curves over quadratic extension fields. (English)Zbl 1439.94030

Jang-Jaccard, Julian (ed.) et al., Information security and privacy. 24th Australasian conference, ACISP 2019, Christchurch, New Zealand, July 3–5, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11547, 630-638 (2019).
MSC:  94A60 14G50 11T71
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### On the gonality of graphs and connections to orientable genus. (English)Zbl 1422.05038

MSC:  05C10 11G18 14H51
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### Small asymptotic translation lengths of pseudo-Anosov maps on the curve complex. (English)Zbl 1472.57018

MSC:  57K20 37E30 57M99
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### Average values on the Jacobian variety of a hyperelliptic curve. (English)Zbl 1472.11177

MSC:  11G05 14H40 14H52
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### Autonomous limit of the 4-dimensional Painlevé-type equations and degeneration of curves of genus two. (Limite autonome des équations 4-dimensionnelles de type Painlevé et la dégénérescence des courbes de genre deux.) (English. French summary)Zbl 1416.34078

MSC:  34M55 33E17 14H70
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### Hyperelliptic curves on $$(1,4)$$-polarised abelian surfaces. (English)Zbl 1423.14205

MSC:  14H45 14K12
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### Bäcklund transformations and new integrable systems on the plane. (English)Zbl 1428.37056

Buchstaber, Victor M. (ed.) et al., Recent developments in integrable systems and related topics of mathematical physics. Kezenoi-Am, Russia, 2016. Cham: Springer. Springer Proc. Math. Stat. 273, 47-74 (2018).
MSC:  37J38 37J35 14H70
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### Finite genus solutions for Geng hierarchy. (English)Zbl 1420.35295

MSC:  35Q51 35C08 37K10
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### On the de-Rham cohomology of hyperelliptic curves. (English)Zbl 1470.14044

MSC:  14F40 14G17 14H37
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### The $$a$$-number of hyperelliptic curves. (English)Zbl 1445.11052

Bouw, Irene I. (ed.) et al., Women in numbers Europe II. Contributions to number theory and arithmetic geometry. Proceedings of the 2nd conference, Leiden, The Netherlands, September 26–30, 2016. Cham: Springer. Assoc. Women Math. Ser. 11, 107-116 (2018).
MSC:  11G20 14H25 14H40
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### The weight distribution of quasi-quadratic residue codes. (English)Zbl 1414.94932

MSC:  94B15 94B60 11G20
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### An algebraic construction of a solution to the mean field equations on hyperelliptic curves and its adiabatic limit. (English)Zbl 1400.14087

MSC:  14H55 35J15 35J91
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### Vanishing of hyperelliptic $$L$$-functions at the central point. (English)Zbl 1444.11231

MSC:  11R59 11G20
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### Prym varieties of étale covers of hyperelliptic curves. (English)Zbl 1400.14083

MSC:  14H40 14H30
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### Factoring $$n$$ and the number of points of Kummer hypersurfaces $$\bmod n$$. (English)Zbl 1423.11206

Kaczorowski, Jerzy (ed.) et al., Number-theoretic methods in cryptology. First international conference, NuTMiC 2017, Warsaw, Poland, September 11–13, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10737, 163-177 (2018).
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### Hyperelliptic curves, Cartier-Manin matrices and Legendre polynomials. (English)Zbl 1481.11061

MSC:  11G05 11T71 33E50
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### An explicit theory of heights for hyperelliptic Jacobians of genus three. (English)Zbl 1406.14023

Böckle, Gebhard (ed.) et al., Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer (ISBN 978-3-319-70565-1/hbk; 978-3-319-70566-8/ebook). 665-715 (2017).
MSC:  14H40 11G10 11G50
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### Improved structured blind multisignature schemes based on hyperelliptic curves. (Chinese. English summary)Zbl 1399.94078

MSC:  94A60 68P25
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### Cohomological invariants of hyperelliptic curves of even genus. (English)Zbl 1397.14040

MSC:  14H10 14F20 14D23
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### qDSA: small and secure digital signatures with curve-based Diffie-Hellman key pairs. (English)Zbl 1380.94119

Takagi, Tsuyoshi (ed.) et al., Advances in cryptology – ASIACRYPT 2017. 23rd international conference on the theory and applications of cryptology and information security, Hong Kong, China, December 3–7, 2017. Proceedings. Part II. Cham: Springer (ISBN 978-3-319-70696-2/pbk; 978-3-319-70697-9/ebook). Lecture Notes in Computer Science 10625, 273-302 (2017).
MSC:  94A60
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### On the cohomology of Fano varieties and the Springer correspondence. (English)Zbl 1401.14179

MSC:  14J45 14H60 14M15
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### On the Mahler measure of hyperelliptic families. (English. French summary)Zbl 1434.11211

MSC:  11R06 11G30 14H52
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### Field extensions and index calculus on algebraic curves. (English)Zbl 1430.11164

Bassa, Alp (ed.) et al., Arithmetic, geometry, cryptography and coding theory. 15th international conference on arithmetic, geometry, cryptography, and coding theory (AGCT), CIRM, Luminy, France, May 18–22, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 686, 187-199 (2017).
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### On bounds for balanced embedding degree. (Russian. English summary)Zbl 07310339

MSC:  14-XX 94-XX
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### Corrado Segre and nodal cubic threefolds. (English)Zbl 1402.14043

Casnati, Gianfranco (ed.) et al., From classical to modern algebraic geometry. Corrado Segre’s mastership and legacy. Basel: Birkhäuser/Springer (ISBN 978-3-319-32992-5/hbk; 978-3-319-32994-9/ebook). Trends in the History of Science, 429-450 (2016).
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### Continued rational fractions in hyperelliptic fields and the Mumford representation. (English. Russian original)Zbl 1403.11071

Dokl. Math. 94, No. 3, 692-696 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 6, 640-644 (2016).
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### Squarefree parts of polynomial values. (English. French summary)Zbl 1415.11148

MSC:  11R09 11G05 11G30
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### On geometric progressions on hyperelliptic curves. (English)Zbl 1368.14044

MSC:  14H50 14G05 11B83
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### On the arithmetic of the hyperelliptic curve $$y^2=x^n+a$$. (English)Zbl 1413.11083

MSC:  11G30 14H25
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### Some techniques for faster scalar multiplication on GLS curves. (English)Zbl 1343.94065

MSC:  94A60 11T71
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### Action-angle variables for the Lie-Poisson Hamiltonian systems associated with Boussinesq equation. (English)Zbl 07246168

MSC:  35-XX 65-XX
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### Some elliptic subcovers of genus 3 hyperelliptic curves. (English)Zbl 1403.14064

Lopez, Javier (ed.) et al., Information security practice and experience. 11th international conference, ISPEC 2015, Beijing, China, May 5–8, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-17532-4/pbk; 978-3-319-17533-1/ebook). Lecture Notes in Computer Science 9065, 181-191 (2015).
MSC:  14H52 14G50 94A60
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### Models of curves from GHS attack in odd characteristic. (English)Zbl 1403.94084

Lopez, Javier (ed.) et al., Information security practice and experience. 11th international conference, ISPEC 2015, Beijing, China, May 5–8, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-17532-4/pbk; 978-3-319-17533-1/ebook). Lecture Notes in Computer Science 9065, 171-180 (2015).
MSC:  94A60 14G50
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### Irreducible canonical representations in positive characteristic. (English)Zbl 1379.14018

MSC:  14H37 11G20 14G17
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### On KP multi-soliton solutions associated to rational degenerations of real hyperelliptic curves. (English)Zbl 1379.37127

“Bruno Pini” Mathematical Analysis Seminar 2015. Papers from the seminar, University of Bologna, Bologna, Italy, 2015. Bologna: Università di Bologna, Alma Mater Studiorum. 138-157 (2015).

### Point-like limit of the hyperelliptic Zhang-Kawazumi invariant. (English)Zbl 1366.14025

MSC:  14G40 30F60
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### Superelliptic surfaces as $$p$$-gonal surfaces. (English)Zbl 1346.14074

Izquierdo, Milagros (ed.) et al., Riemann and Klein surfaces, automorphisms, symmetries and moduli spaces. Conference in honour of Emilio Bujalance, Linköping, Sweden, June 24–28, 2013. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1093-3/pbk; 978-1-4704-2058-1/ebook). Contemporary Mathematics 629, 15-28 (2015).
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### Automorphism groups of hyperelliptic modular curves. (English)Zbl 1343.14023

MSC:  14H37 14G35 11G18
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MSC:  14H45
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### Time-memory trade-offs for index calculus in genus 3. (English)Zbl 1370.94522

MSC:  94A60 11Y16 11T71
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### Images of 2-adic representations associated to hyperelliptic Jacobians. (English)Zbl 1392.11039

MSC:  11G30 14H40
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### Algebro-geometric solutions for the two-component Hunter-Saxton hierarchy. (English)Zbl 1420.37065

MSC:  37K10 35Q53 53C35
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