Viro's theorem for complete intersections

Bernd Sturmfels

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1994)

  • Volume: 21, Issue: 3, page 377-386
  • ISSN: 0391-173X

How to cite

top

Sturmfels, Bernd. "Viro's theorem for complete intersections." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 21.3 (1994): 377-386. <http://eudml.org/doc/84183>.

@article{Sturmfels1994,
author = {Sturmfels, Bernd},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Viro's theorem; real algebraic set; complete intersections; mixed decompositions of Newton polytopes; number of real points},
language = {eng},
number = {3},
pages = {377-386},
publisher = {Scuola normale superiore},
title = {Viro's theorem for complete intersections},
url = {http://eudml.org/doc/84183},
volume = {21},
year = {1994},
}

TY - JOUR
AU - Sturmfels, Bernd
TI - Viro's theorem for complete intersections
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1994
PB - Scuola normale superiore
VL - 21
IS - 3
SP - 377
EP - 386
LA - eng
KW - Viro's theorem; real algebraic set; complete intersections; mixed decompositions of Newton polytopes; number of real points
UR - http://eudml.org/doc/84183
ER -

References

top
  1. [1] I.M. Gel'fand - M.M. Kapranov - A.V. Zelevinsky, Discriminants, Resultants, and Multidimensional Determinants. Birkhäuser, Bòston, 1994. Zbl0827.14036MR1264417
  2. [2] I.M. Gel'fand - M.M. Kapranov - A.V. Zelevinsky, Discriminants of polynomials in several variables and triangulations of Newton polytopes. Algebra i analiz (Leningrad Mathematical Journal) 2 (1990), 1-62. Zbl0741.14033MR1052262
  3. [3] C. Lee, Regular triangulations of convex polytopes. In: Applied Geometry and Discrete Mathematics The Victor Klee Festschrift, P. Gritzmann - B. Sturmfels eds., American Math. Soc., DIMACS Series 4, Providence, R.I., 1991, 443-456. Zbl0746.52015MR1116369
  4. [4] J.-J. Risler, Construction d'hypersurfaces reélles ayant une topologie donnée [d'aprés Viro], Séminaire N. Bourbaki, exposé no. 762, Masson, Paris, 1992- 93. 
  5. [5] B. Sturmfels, The asymptotic number of real zeros of a sparse polynomial system. To appear in: Proceedings of the Workshop on "Hamiltonian and Gradient Flows: Algorithms and Control", Fields Institute, Waterloo, Ontario, March 1992. 
  6. [6] B. Sturmfels, On the Newton polytope of the resultant, Journal of Algebraic Combinatorics3 (1994), 207-236. Zbl0798.05074MR1268576
  7. [7] O.Ya. Viro, Gluing of algebraic hypersurfaces, removing of singularities and constructions of curves. In: Proceedings of the International Topology Conference at Leningrad, 1983 (in Russian), 149-197. Zbl0605.14021
  8. [8] O.Ya. Viro, Gluing of plane real algebraic curves and construction of curves of degrees 6 and 7. In "Topology", (L.D. Faddeev - A.A. Mal'cev eds.), Springer Lectures Notes in Mathematics1060, 1984, pp. 187-200. Zbl0576.14031MR770238
  9. [9] O.Ya. Viro, Real algebraic plane curves: constructions with controlled topology, Leningrad Mathematical Journal1 (1990), 1059-1134. Zbl0732.14026MR1036837
  10. [10] V.I. Danilov - A.G. Khovanskii, Newton polyhedra and an algorithm for computing Hodge-Deligne numbers, Math. USSR-Izv.29 (1987), 279-298. Zbl0669.14012

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.