Zobrazeno 1 - 10
of 201
pro vyhledávání: '"Circular algebraic curve"'
Autor:
Nazar Arakelian
Publikováno v:
Finite Fields and Their Applications. 48:87-102
Let F be a plane singular curve defined over a finite field F q . Via results of [11] and [1] , the linear system of plane curves of a given degree passing through the singularities of F provides potentially good bounds for the number of points on a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aba41c3abc6afc5955f7c9fa24e22408
https://doi.org/10.1016/j.ffa.2017.07.004
https://doi.org/10.1016/j.ffa.2017.07.004
Publikováno v:
Keldysh Institute Preprints. :1-16
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79f9f5ae2c3ed4a9e3e474b5897cd3ca
https://doi.org/10.20948/prepr-2017-54
https://doi.org/10.20948/prepr-2017-54
Publikováno v:
Periodica Mathematica Hungarica. 74:235-244
Rabinowitz constructed a parametric curve of constant width and expressed it as a plane algebraic curve; however, the algebraic curve also contains isolated points separate from the original curve. We show how to modify his example in order to produc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c0ec46186695dfcd41cb0323a85d243
https://doi.org/10.1007/s10998-016-0149-9
https://doi.org/10.1007/s10998-016-0149-9
Autor:
Jérémy Blanc, Immanuel Stampfli
Publikováno v:
Algebraic Geometry
We study the group of automorphisms of the affine plane preserving some given curve, over any field. The group is proven to be algebraic, except in the case where the curve is a bunch of parallel lines. Moreover, a classification of the groups of pos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ace3e33a92922ae27aa9b4f752dc1fa6
https://arxiv.org/abs/1304.2549
https://arxiv.org/abs/1304.2549
In an article from 1865, Arthur Cayley claims that given a plane algebraic curve there exists an associated 2-Hessian curve that intersects it in its sextactic points. In this paper we fix an error in Cayley's calculations and provide the correct def
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a01264fc1805b6ac2016c6f114e3d258
http://arxiv.org/abs/1709.01698
http://arxiv.org/abs/1709.01698
Autor:
Eva Blažková, Zbyněk Šír
Publikováno v:
Computer Aided Geometric Design. 31:358-372
Algorithms describing the topology of real algebraic curves search primarily the singular points and they are usually based on algebraic techniques applied directly to the curve equation. We adopt a different approach, which is primarily based on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38af140e36d0782474c76a4d2ebc03ff
https://doi.org/10.1016/j.cagd.2014.05.006
https://doi.org/10.1016/j.cagd.2014.05.006
Publikováno v:
Advances in Mathematics. 356:106815
This paper develops a theory of analytic geometry over the field with one element. The approach used is the analytic counter-part of the Toen-Vaquie theory of schemes over F 1 , i.e. the base category relative to which we work out our theory is the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b075d9da68f1ebb0724fa650d8ebd8b7
https://doi.org/10.1016/j.aim.2019.106815
https://doi.org/10.1016/j.aim.2019.106815
Autor:
Masaaki Homma, Seon Jeong Kim
Publikováno v:
Finite Fields and Their Applications. 18:567-580
We prove the uniqueness of a plane curve of degree q over a finite field F q which attains Sziklaiʼs bound q ( q − 1 ) + 1 . More precisely, if a plane curve of degree q over F q has q ( q − 1 ) + 1 rational points, then it is projectively equiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d5b8a0e1d94369243bdb00d755bb82e
https://doi.org/10.1016/j.ffa.2011.12.002
https://doi.org/10.1016/j.ffa.2011.12.002
Autor:
Michael Sagraloff, Michael Kerber
Publikováno v:
Journal of Symbolic Computation. 47(3):239-258
Computing the topology of an algebraic plane curve $\mathcal{C}$ means to compute a combinatorial graph that is isotopic to $\mathcal{C}$ and thus represents its topology in $\mathbb{R}^2$. We prove that, for a polynomial of degree $n$ with coefficie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::718a069c83ec2dfdbad6c54e0186836e
Autor:
Guillaume Chèze, Laurent Busé
Publikováno v:
Journal of Algebra
Journal of Algebra, Elsevier, 2011, 341 (1), pp.256-278. ⟨10.1016/j.jalgebra.2011.06.006⟩
Journal of Algebra, 2011, 341 (1), pp.256-278. ⟨10.1016/j.jalgebra.2011.06.006⟩
Journal of Algebra, Elsevier, 2011, 341 (1), pp.256-278. ⟨10.1016/j.jalgebra.2011.06.006⟩
Journal of Algebra, 2011, 341 (1), pp.256-278. ⟨10.1016/j.jalgebra.2011.06.006⟩
International audience; In this paper, the problem of bounding the number of reducible curves in a pencil of algebraic plane curves is addressed. Unlike most of the previous related works, each reducible curve of the pencil is here counted with its a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8cf923231a57344dc56ce469b9b5e284
https://doi.org/10.1016/j.jalgebra.2011.06.006
https://doi.org/10.1016/j.jalgebra.2011.06.006