Zobrazeno 1 - 10
of 13
pro vyhledávání: '"MÁRTON HABLICSEK"'
Autor:
JORDAN S. ELLENBERG, MÁRTON HABLICSEK
Publikováno v:
Forum of Mathematics, Sigma, Vol 4 (2016)
In this note we generalize a recent theorem of Guth and Katz on incidences between points and lines in 3-space from characteristic 0 to characteristic $p$ , and we explain how some of the special features of algebraic geometry in characteristic $p$
Externí odkaz:
https://doaj.org/article/fcd5c844c43740f28a180eab19772290
Autor:
Márton Hablicsek, Jesse Vogel
Publikováno v:
SIGMA, 18:095. SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
In this paper, we use a geometric technique developed by Gonz\'alez-Prieto, Logares, Mu\~noz, and Newstead to study the $G$-representation variety of surface groups $\mathfrak{X}_G(\Sigma_g)$ of arbitrary genus for $G$ being the group of upper triang
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f45276047a7a6d8f2485949c74ca8ab9
https://hdl.handle.net/1887/3564184
https://hdl.handle.net/1887/3564184
Publikováno v:
Journal of Algebra. 540:100-120
We study when the derived intersection of two smooth subvarieties of a smooth variety is formal. As a consequence we obtain a derived base change theorem for non-transversal intersections. We also obtain applications to the study of the derived fixed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77f0d592410ef7fe10d7eed0bae813da
https://doi.org/10.1016/j.jalgebra.2019.08.002
https://doi.org/10.1016/j.jalgebra.2019.08.002
Publikováno v:
Hablicsek, M, Akbarzadeh, M & Guo, Y 2019, ' Algebraic 3D graphic statics : Reciprocal constructions ', CAD Computer Aided Design, vol. 108, pp. 30-41 . https://doi.org/10.1016/j.cad.2018.08.003
The recently developed 3D graphic statics (3DGS) lacks a rigorous mathematical definition relating the geometrical and topological properties of the reciprocal polyhedral diagrams as well as a precise method for the geometric construction of these di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::caa4b72eb75c9228a751558f57664318
Autor:
Masoud Akbarzadeh, Márton Hablicsek
Publikováno v:
Computer-Aided Design. 141:103068
This research is a continuation of the Algebraic 3D Graphic Statics Methods that addressed the reciprocal constructions in an earlier publication (Hablicsek et al. 2019). It provides algorithms and (numerical) methods to geometrically control the mag
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78d79eb0aa1ec9e9254569a39653290a
https://doi.org/10.1016/j.cad.2021.103068
https://doi.org/10.1016/j.cad.2021.103068
Autor:
Márton Hablicsek, Máté Lehel Juhász
Nikolai Durov introduced the theory of generalized rings and schemes to study Arakelov geometry in an alternative algebraic framework, and introduced the residue field at the infinite place, 𝔽∞. We show an elementary algebraic approach to module
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::805693e3dc73c77351c378f80b90864f
Autor:
Márton Hablicsek, Evan P. Dummit
Publikováno v:
Mathematika. 59:257-266
In a recent paper of Ellenberg, Oberlin, and Tao, the authors asked whether there are Besicovitch phenomena in F_q[[t]]^n. In this paper, we answer their question in the affirmative by explicitly constructing a Kakeya set in F_q[[t]]^n of measure 0.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3593ac9919695bd7f9f2aa9d6c70b68
https://doi.org/10.1112/s002557931300003x
https://doi.org/10.1112/s002557931300003x
Publikováno v:
Journal of Algebra and Its Applications. 10:947-959
Let $G$ be a finite group. For all $a \in \Z$, such that $(a,|G|)=1$, the function $\rho_a: G \to G$ sending $g$ to $g^a$ defines a permutation of the elements of $G$. Motivated by a recent generalization of Zolotarev's proof of classic quadratic rec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53ad687078c09dfe04a850575af7328a
https://doi.org/10.1142/s0219498811005051
https://doi.org/10.1142/s0219498811005051
Publikováno v:
Advanced Science, Vol 10, Iss 18, Pp n/a-n/a (2023)
Abstract This research is taking the first steps toward applying a 2D dragonfly wing skeleton in the design of an airplane wing using artificial intelligence. The work relates the 2D morphology of the structural network of dragonfly veins to a second
Externí odkaz:
https://doaj.org/article/0f5c03ae9c154585bfdbe3a502c332ef
Autor:
Márton Hablicsek
In a beautiful paper Deligne and Illusie proved the degeneration of the Hodge-to-de Rham spectral sequence using positive characteristic methods. In a recent paper Arinkin, C\u{a}ld\u{a}raru and the author of this paper gave a geometric interpretatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9423b35605dd7fdd6d796d4a7e59be36
http://arxiv.org/abs/1503.00177
http://arxiv.org/abs/1503.00177