Fetching the paper…
Reading the bibliography…
We present a characterization, in terms of projective biduality, for the hypersurfaces appearing in the boundary of the convex hull of a compact real algebraic variety.
G. Salmon: Treatise on the Analytic Geometry of Three Dimensions
1965
Earlier work this paper cites.
R. Piene: Some formulas for a surface in ℙ 3 \mathbb{P}^{3} , in Algebraic Geometry
1978
Earlier work this paper cites.
I. Vainsencher: Counting divisors with prescribed singularities, Transactions AMS
1981
Earlier work this paper cites.
V.D. Sedykh, Singularities of convex hulls, Sibirsk. Mat. Zh
1983
Earlier work this paper cites.
J. Bochnak, M. Coste, M.-F. Roy: Géométrie Algébrique Réelle
1987
Earlier work this paper cites.
F. Morgan: Area-minimizing surfaces, faces of Grassmannians, and calibrations, Amer. Math. Monthly
1988
Cited alongside, same era.
V.D. Sedykh, Stabilization of the singularities of convex hulls, Mat. Sb.(N.S.)
1989
Cited alongside, same era.
I.M. Gel’fand, M.M. Kapranov and A.V. Zelevinsky: Discriminants, Resultants, and Multidimensional Determinants
1994
Cited alongside, same era.
V.D. Sedykh and B. Shapiro: On Young hulls of convex curves in ℝ 2 n \mathbb{R}^{2n} , Journal of Geometry
1998
Cited alongside, same era.
D. Bouziane and M. El Kahoui: Computation of the dual of a plane projective curve, J. Symbolic Comput
2002
Cited alongside, same era.
R. Abuaf: Singularities of the projective dual variety, arXiv:0901.1821
Cited in the paper.
D. Grayson and M. Stillman: Macaulay2, a software system for research in algebraic geometry, Available at http://www.math.uiuc.edu/Macaulay2/
Cited in the paper.
D. Henrion: Semidefinite representation of convex hulls of rational varieties, arXiv:0901.1821
Cited in the paper.
K. Ranestad and B. Sturmfels: On the convex hull of a space curve, Advances in Geometry
Cited in the paper.
P. Rostalski and B. Sturmfels: Dualities in convex algebraic geometry, arXiv:1006.4894
Cited in the paper.
R. Sanyal, F. Sottile and B. Sturmfels: Orbitopes, arXiv:0911.5436
Cited in the paper.
C. Scheiderer: Convex hulls of curves of genus one, arXiv:1003.4605
Cited in the paper.
A. Barvinok and G. Blekherman: Convex geometry of orbits. Combinatorial and Computational Geometry
2005
Later among the works it cites.
P. Gruber: Convex and Discrete Geometry
2007
Later among the works it cites.
D. Bates, J. Hauenstein, A. Sommese, and C. Wampler: Software for numerical algebraic geometry: a paradigm and progress towards its implementation, in Software for Algebraic Geometry
2008
Later among the works it cites.
A. Barvinok and I. Novik: A centrally symmetric version of the cyclic polytope, Discrete Comput. Geom
2008
Later among the works it cites.
G.-M. Greuel and A.D. Matt (eds.): Imaginary - Mit den Augen der Mathematik. Through the Eyes of Mathematics
2008
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…