Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Arnaud Bodin"'
An algebraic domain is a closed topological subsurface of a real affine plane whose boundary consists of disjoint smooth connected components of real algebraic plane curves. We study the geometric shape of an algebraic domain by collapsing all vertic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0359fc8e627abe22eac0f0965109b78
http://arxiv.org/abs/2207.06871
http://arxiv.org/abs/2207.06871
Publikováno v:
Journal für die reine und angewandte Mathematik
Journal für die reine und angewandte Mathematik, 2022, 2022 (785), pp.55-79. ⟨10.1515/crelle-2021-0083⟩
Journal für die reine und angewandte Mathematik, 2022, 2022 (785), pp.55-79. ⟨10.1515/crelle-2021-0083⟩
We establish a version "over the ring" of the celebrated Hilbert Irreducibility Theorem. Given finitely many polynomials in $k+n$ variables, with coefficients in $\mathbb Z$, of positive degree in the last $n$ variables, we show that if they are irre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::27cb8623cc007c5e79a79b9fb4529bc8
https://hal.science/hal-03800676
https://hal.science/hal-03800676
Autor:
Arnaud Bodin
Publikováno v:
Mathematical News / Mathematische Nachrichten
Mathematical News / Mathematische Nachrichten, 2021
Mathematical News / Mathematische Nachrichten, 2021
We study a family of polynomials in two variables having moduli up to bilipschitz equivalence: two distinct polynomials of this family are not bilipschitz equivalent. However any level curve of the first polynomial is bilipschitz equivalent to a leve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8c9172c7bf6d0843824f7b00a1bae54
https://hal.science/hal-03800601
https://hal.science/hal-03800601
Autor:
Arnaud Bodin, Maciej Borodzik
Publikováno v:
Israel Journal of Mathematics. 227:63-111
For a smooth complex curve C ⊂ ℂ2 we consider the link Lr = C ∩ ∂Br, where Br denotes an Euclidean ball of radius r > 0. We prove that the diagram Dr obtained from Lr by a complex stereographic projection satisfies χ(C ∩Br) = rot(Dr)−wr(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5087952d1ffe1eac83b14b7fb660f962
https://doi.org/10.1007/s11856-018-1716-y
https://doi.org/10.1007/s11856-018-1716-y
Autor:
Paolo Bellingeri, Arnaud Bodin
Publikováno v:
Mathematische Zeitschrift
Mathematische Zeitschrift, Springer, 2016, 283 (3-4), pp.995-1010. ⟨10.1007/s00209-016-1630-0⟩
Mathematische Zeitschrift, 2016, 283 (3-4), pp.995-1010. ⟨10.1007/s00209-016-1630-0⟩
Mathematische Zeitschrift, Springer, 2016, 283 (3-4), pp.995-1010. ⟨10.1007/s00209-016-1630-0⟩
Mathematische Zeitschrift, 2016, 283 (3-4), pp.995-1010. ⟨10.1007/s00209-016-1630-0⟩
We show several geometric and algebraic aspects of a necklace: a link composed with a core circle and a series of circles linked to this core. We first prove that the fundamental group of the configuration space of necklaces (that we will call braid
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77b2bc9355a0269a8ae7ce937f405202
https://doi.org/10.1007/s00209-016-1630-0
https://doi.org/10.1007/s00209-016-1630-0
Publikováno v:
European Spine Journal. 22:203-215
Retrospective study of a prospective clinical and radiological database of subjects with adolescent (AIS) and adult (AS) idiopathic scoliosis undergoing surgical correction by posterior approach.To evaluate the differences in sagittal alignment of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51d8237b109a27f9c063bd525343c01a
https://doi.org/10.1007/s00586-012-2571-x
https://doi.org/10.1007/s00586-012-2571-x
Autor:
H. Vouaillat, Richard Assaker, Charles Court, la Société française de chirurgie du rachis, P. Merloz, Jérôme Tonetti, Arnaud Bodin, Lydie Boyoud Garnier
Publikováno v:
Revue de Chirurgie Orthopédique et Traumatologique. 98:S225-S233
Resume Introduction Les fractures vertebrales sur os porotique ont un retentissement general et economique. L’objectif de cette etude multicentrique de la Societe francaise de chirurgie de Rachis (SFCR) etait de comparer les resultats de la vertebr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75c7c20893ab631dbcf3308b7954b3b0
https://doi.org/10.1016/j.rcot.2012.04.034
https://doi.org/10.1016/j.rcot.2012.04.034
Autor:
Arnaud Bodin
Publikováno v:
Journal of the London Mathematical Society. 81:563-572
Let P(x,y) be a rational polynomial and k in Q be a generic value. If the curve (P(x,y)=k) is irreducible and admits an infinite number of points whose coordinates are integers then there exist algebraic automorphisms that send P(x,y) to the polynomi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45428419033d6c0e6fc70438d6a4b916
https://doi.org/10.1112/jlms/jdp084
https://doi.org/10.1112/jlms/jdp084
Publikováno v:
Communications in Algebra. 37:1884-1900
Given a polynomial P in several variables over an algebraically closed field, we show that except in some special cases that we fully describe, if one coefficient is allowed to vary, then the polynomial is irreducible for all but at most deg(P)^2-1 v
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48534b7e44da7c8a05b985852da837ba
https://doi.org/10.1080/00927870802116562
https://doi.org/10.1080/00927870802116562
Autor:
Arnaud Bodin
Publikováno v:
The American Mathematical Monthly. 115:653-660
We give a formula and an estimation for the number of irreducible polynomials in two (or more) variables over a finite field.
A note for American Mathematical Monthly. v2: Correction of an error found out by Dan Velleman
A note for American Mathematical Monthly. v2: Correction of an error found out by Dan Velleman
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9ddfb4321889617342383a682b48749
https://doi.org/10.1080/00029890.2008.11920576
https://doi.org/10.1080/00029890.2008.11920576