Tits arrangements on cubic curves

Type: Article

Publication Date: 2020-03-10

Citations: 1

DOI: https://doi.org/10.2140/iig.2020.18.7

Abstract

We classify affine rank three Tits arrangements whose roots are contained in the locus of a homogeneous cubic polynomial. We find that there exist irreducible affine Tits arrangements which are not locally spherical.

Locations

  • Innovations in incidence geometry - View
  • arXiv (Cornell University) - View - PDF
  • Project Euclid (Cornell University) - View - PDF
  • DataCite API - View

Similar Works

Action Title Year Authors
+ Tits Geometry and Positive Curvature 2012 Fuquan Fang
Karsten Grove
Gudlaugur Thorbergsson
+ Quatroids and Rational Plane Cubics 2023 Taylor Brysiewicz
Fulvio Gesmundo
Avi Steiner
+ PDF Chat Toric principal bundles, piecewise linear maps and Tits buildings 2022 Kiumars Kaveh
Christopher Manon
+ PDF Chat Toric principal bundles, piecewise linear maps and Tits buildings 2018 Kiumars Kaveh
Christopher Manon
+ Integral points on symmetric affine cubic surfaces 2022 H. Uppal
+ PDF Chat Orthogonal Tits Quadrangles 2021 Bernhard Mühlherr
Richard M. Weiss
+ An Octanomial Model for Cubic Surfaces 2019 Marta Panizzut
Emre Can Sertöz
Bernd Sturmfels
+ An octanomial model for cubic surfaces 2020 Marta Panizzut
Emre Can Sertöz
Bernd Sturmfels
+ Topological Classification of Nonsingular Tropical Affine Cubic Curves 2013 真輔 小田切
孝文 木原
正典 小林
Shinsuke Odagiri
Takafumi Kihara
Masanori Kobayashi
+ Extremal varieties 3-rationally connected by cubics, quadro-quadric Cremona transformations and rank 3 Jordan algebras 2011 Luc Pirio
Francesco Russo
+ Curve complexes versus Tits buildings: structures and applications 2014 Lizhen Ji
+ Exceptional Tits quadrangles 2019 Richard G. Weiss
+ Combinatorial aspects of toric varieties 2007 Christine von Renesse
+ PDF Chat Lines, Twisted Cubics on Cubic Fourfolds, and the Monodromy of the Voisin Map 2024 Franco Giovenzana
Luca Giovenzana
+ PDF Chat The Exceptional Tits Quadrangles Revisited 2022 Bernhard Mühlherr
Richard M. Weiss
+ Conics in Kummer quartics 2021 Alex Degtyarev
+ PDF Chat Curve Complexes Versus Tits Buildings: Structures and Applications 2011 Lizhen Ji
+ PDF Chat Classification of strict wonderful varieties 2010 Paolo Bravi
Stéphanie Cupit-Foutou
+ Tropical approach to legendrian curves in $\mathbb{C}P^3$ 2016 Nikita Kalinin
+ Cubic Fourfolds with an Involution 2022 Lisa Marquand

Works That Cite This (1)

Action Title Year Authors
+ Supersolvable simplicial arrangements 2019 Michael Cuntz
Paul Mücksch