Found 249 Documents (Results 1–100)
Galois points and rational functions with small value sets. (English) Zbl 1540.14058
Reviewer: Behrooz Mosallaei (Las Cruces)
A note on Wedderburn and Hasse theorems. (English) Zbl 07840472
Reviewer: Dhiren Kumar Basnet (Napaam)
Incidences of cubic curves in finite fields. (English) Zbl 1533.51002
Reviewer: Dirk Keppens (Gent)
Maximal curves over finite fields, past, present and future. (English) Zbl 1536.11094
Bassa, Alp (ed.) et al., Curves over finite fields: past, present and future, virtual conference, May 2021. Paris: Société Mathématique de France (SMF). Panor. Synth. 60, 37-66 (2023).
Deducing information about curves over finite fields from their Weil polynomials. (English) Zbl 1536.11096
Bassa, Alp (ed.) et al., Curves over finite fields: past, present and future, virtual conference, May 2021. Paris: Société Mathématique de France (SMF). Panor. Synth. 60, 1-36 (2023).
A note on factorisation patterns of division polynomials of elliptic curves over finite fields. (English) Zbl 07787877
Reviewer: Sergi Simon (Portsmouth)
Some open questions about curves and abelian varieties over finite fields. (English) Zbl 07739298
Reviewer: Sungkon Chang (Savannah)
2-Selmer groups of even hyperelliptic curves over function fields. (English) Zbl 1526.11032
Reviewer: Dimitros Poulakis (Thessaloniki)
Study of elliptic curve over a finite ring \(\mathbb{F}_{3^d}[\varepsilon]\), \(\varepsilon^4=\varepsilon^3\). (English) Zbl 1528.11044
Boomerang uniformity of power permutations and algebraic curves over \(\mathbb{F}_{2^n}\). (English) Zbl 1523.11229
On the constant \(D(q)\) defined by Homma. (English) Zbl 1506.14051
Anni, Samuele (ed.) et al., Arithmetic, geometry, cryptography, and coding theory, AGC2T. 18th international conference, Centre International de Rencontres Mathématiques, Marseille, France, May 31 – June 4, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 779, 33-40 (2022).
Realizing Artin-Schreier covers with minimal \(a\)-numbers in positive characteristic. (English) Zbl 1523.11110
Every \(BT_1\) group scheme appears in a Jacobian. (English) Zbl 1483.14054
Reviewer: Noriko Yui (Kingston)
The curve \(y^n=x^\ell(x^m+1)\) over finite fields. II. (English) Zbl 1476.11092
Reviewer: Christophe Ritzenthaler (Rennes)
\(\mathbb{F}_{p^2}\)-maximal curves with many automorphisms are Galois-covered by the Hermitian curve. (English) Zbl 1472.14032
Reviewer: David Joyner (Annapolis)
On \(BT_1\) group schemes and Fermat curves. (English) Zbl 1471.11200
New York J. Math. 27, 705-739 (2021); correction ibid. 30, 1024-1028 (2024).
Local-global principles for curves over semi-global fields. (English) Zbl 1478.11060
Reviewer: Detlev Hoffmann (Dortmund)
On the zeta function and the automorphism group of the generalized Suzuki curve. (English) Zbl 1457.14053
Reviewer: Edoardo Ballico (Povo)
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).
Reviewer: Ahmed Lesfari (El Jadida)
Fragments of plane filling curves of degree \(q + 2\) over the finite field of \(q\) elements, and of affine-plane filling curves of degree \(q + 1\). (English) Zbl 1439.14082
Short average distribution of a prime counting function over families of elliptic curves. (English) Zbl 1445.11047
Reviewer: Maciej Ulas (Kraków)
MSC:
11G05
A remark on the group structure of 2-isogenous elliptic curves in towers of finite fields. (English) Zbl 1468.11146
On the curve \(Y^n= X^{\ell}(X^m + 1)\) over finite fields. (English) Zbl 1478.11090
Reviewer: Ferruh Özbudak (Ankara)
On classical Kloosterman sums. (English) Zbl 1412.11088
On the 2-adic valuation of the cardinality of elliptic curves over finite extensions of \(\mathbb{F}_{q}\). (English) Zbl 1437.11085
Reviewer: Juan Tena Ayuso (Valladolid)
Holomorphic differentials of certain solvable covers of the projective line over a perfect field. (English) Zbl 1454.11119
A remark on the group structure of elliptic curves in towers of finite fields. (English) Zbl 1440.11109
Elliptic curves with isomorphic groups of points over finite field extensions. (English) Zbl 1406.11058
Weighted noncommutative regular projective curves. (English) Zbl 1357.14007
Reviewer: Arvid Siqveland (Kongsberg)
Prime number races for elliptic curves over function fields. (Bias de Chebyshev pour les courbes elliptiques sur les corps de fonctions.) (English. French summary) Zbl 1367.11085
Ann. Sci. Éc. Norm. Supér. (4) 49, No. 5, 1239-1277 (2016); erratum ibid. 54, No. 5, 1353-1362 (2021).
Reviewer: D. R. Heath-Brown (Oxford)
Deterministically generating Picard groups of hyperelliptic curves over finite fields. (English) Zbl 1396.11093
Refinements to patching and applications to field invariants. (English) Zbl 1386.14101
Reviewer: Detlev Hoffmann (Dortmund)
On the \({\ell}\)-adic valuation of the cardinality of elliptic curves over finite extensions of \(\mathbb{F}_{q}\). (English) Zbl 1408.11064
Small discriminants of complex multiplication fields of elliptic curves over finite fields. (English) Zbl 1363.11071
Reviewer: Sergey Stepanov (Moskva)
Formal constructions in the Brauer group of the function field of a \(p\)-adic curve. (English) Zbl 1395.14011
On the stable reduction of the Lubin-Tate curve of level two in the equal characteristic case. (English) Zbl 1387.11091
A supplement to Manin’s proof of the Hasse inequality. (English) Zbl 1316.11054
Reviewer: Maciej Ulas (Kraków)
Probabilistic admissible encoding on elliptic curves – towards PACE with generalized integrated mapping. (English) Zbl 1432.94139
Geffert, Viliam (ed.) et al., SOFSEM 2014: theory and practice of computer science. 40th international conference on current trends in theory and practice of computer science, Nový Smokovec, Slovakia, January 26–29, 2014. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8327, 395-406 (2014).
On lattice profile of the elliptic curve linear congruential generators. (English) Zbl 1299.11055
Reviewer: Robert Tichy (Graz)
On the Mertens conjecture for function fields. (English) Zbl 1303.11109
Reviewer: Josep M. Miret Biosca (Lleida)
On the Kolyvagin formula for elliptic curves with good reductions over pseudolocal fields. (English) Zbl 1303.11071
Elliptic curves with weak coverings over cubic extensions of finite fields with odd characteristic. (English) Zbl 1297.11064
Trivial points on towers of curves. (English. French summary) Zbl 1294.11109
Reviewer: Christophe Ritzenthaler (Marseille)
The triviality and nontriviality of Tate-Lichtenbaum self pairings on Jacobians of curves. (English) Zbl 1290.11100
Reviewer: Fernando Torres (Campinas)
Mean value theorems for \(L\)-functions over prime polynomials for the rational function field. (English) Zbl 1286.11097
The Lüroth semigroup of a plane curve \(C\) over \(\mathbb F_{q}\) and the primitive set of \(P \in C(\mathbb F_{q})\). (English) Zbl 1284.14042
Reviewer: Fernando Torres (Campinas)
Graphs of Hecke operators. (English) Zbl 1292.11061
Remarks on a paper by Maharaj and Wulftange. (English) Zbl 1287.11134
Reviewer: Enric Nart Viñals (Barcelona)
Fitting ideals of \(\ell \)-adic realizations of Picard 1-motives and class groups of global function fields. (English) Zbl 1294.11103
Reviewer: Andreas Nickel (Bielefeld)
Nonsingular plane filling curves of minimum degree over a finite field and their automorphism groups: Supplements to a work of Tallini. (English) Zbl 1259.14023
Reviewer: Enric Nart Viñals (Barcelona)
The (local) lifting problem for curves. (English) Zbl 1321.14028
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, 359-412 (2012).
Rational curves with many rational points over a finite field. (English) Zbl 1317.11059
Aubry, Yves (ed.) et al., Arithmetic, geometry, cryptography and coding theory. 13th conference on arithmetic, geometry, cryptography and coding theory, CIRM, Marseille, France, March 14–18, 2011 and Geocrypt 2011, Bastia, France, June 19–24, 2011. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-7572-8/pbk; 978-0-8218-9027-1/ebook). Contemporary Mathematics 574, 37-48 (2012).
Isomorphism classes of elliptic curves over a finite field in some thin families. (English) Zbl 1285.11092
What is your “birthday elliptic curve”? (English) Zbl 1257.11058
Reviewer: Franz Lemmermeyer (Jagstzell)
\(\widehat Z\)-submodules of curves over finite fields. (English) Zbl 1265.14001
Reviewer: Ivan D. Chipchakov (Sofia)
On group structures realized by elliptic curves over arbitrary finite fields. (English) Zbl 1257.11060
Reviewer: Kit Ho Mak (Atlanta)
On group structures realized by elliptic curves over a fixed finite field. (English) Zbl 1257.11061
Reviewer: Kit Ho Mak (Atlanta)
Quadratic forms of codimension 2 over finite fields containing \(\mathbb F_4\) and Artin-Schreier type curves. (English) Zbl 1280.11035
Reviewer: Enric Nart Viñals (Barcelona)
Curves in a hyperbolic quadric surface with a large number of \({\mathbb{F}_{q}}\)-points. (English) Zbl 1231.14017
Singular curves with line bundles \(L\) defined over \(\mathbb {F}_q\) and with good cohomology. (English) Zbl 1216.14024
2, 3, 5, Legendre: \(\pm \) trace ratios in families of elliptic curves. (English) Zbl 1295.14026
Reviewer: Andrew Obus (Charlottesville)
On nondegeneracy of Tate pairing for curves over complete discrete valuation fields with pseudofinite residue fields. (Ukrainian. English summary) Zbl 1240.11072
MSC:
11G20
Explicit 2-power torsion of genus 2 curves over finite fields. (English) Zbl 1225.11086
Reviewer: Kenneth Ward (Stillwater)
Schoof’s point counting algorithm. (English) Zbl 1214.11140
Murty, V. Kumar (ed.), Algebraic curves and cryptography. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4311-6/hbk). Fields Institute Communications 58, 11-63 (2010).
On a theorem of Mestre and Schoof. (English) Zbl 1223.11072
Reviewer: Florin Nicolae (Berlin)
MSC:
11G07
Uniqueness of low genus optimal curves over \(\mathbb F_2\). (English) Zbl 1219.11097
Kohel, David (ed.) et al., Arithmetic, geometry, cryptography and coding theory 2009. Selected papers based on the presentations at the 12th conference on arithmetic, geometry, cryptography and coding theory, Marseille, France, March 30–April 3, 2009, Geocrypt conference, Pointe-à-Pitre, Guadeloupe, France, April 27–May 1, 2009 and European Science Foundation exploratory workshop on curves, coding theory, and cryptography, Marseille, France, March 25–29, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4955-2/pbk). Contemporary Mathematics 521, 87-105 (2010).
Genus 3 curves with many involutions and application to maximal curves in characteristic 2. (English) Zbl 1219.14036
Kohel, David (ed.) et al., Arithmetic, geometry, cryptography and coding theory 2009. Selected papers based on the presentations at the 12th conference on arithmetic, geometry, cryptography and coding theory, Marseille, France, March 30–April 3, 2009, Geocrypt conference, Pointe-à-Pitre, Guadeloupe, France, April 27–May 1, 2009 and European Science Foundation exploratory workshop on curves, coding theory, and cryptography, Marseille, France, March 25–29, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4955-2/pbk). Contemporary Mathematics 521, 71-85 (2010).
Reviewer: Florin Nicolae (Berlin)
A note on a maximal curve. (English) Zbl 1219.11095
Kohel, David (ed.) et al., Arithmetic, geometry, cryptography and coding theory 2009. Selected papers based on the presentations at the 12th conference on arithmetic, geometry, cryptography and coding theory, Marseille, France, March 30–April 3, 2009, Geocrypt conference, Pointe-à-Pitre, Guadeloupe, France, April 27–May 1, 2009 and European Science Foundation exploratory workshop on curves, coding theory, and cryptography, Marseille, France, March 25–29, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4955-2/pbk). Contemporary Mathematics 521, 55-58 (2010).
Reviewer: Florin Nicolae (Berlin)
Curves of genus 3. (English) Zbl 1230.11081
Reviewer: Junmyeong Jang (Seoul)
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