Polytopes secondaires et discriminants

François Loeser

Séminaire Bourbaki (1990-1991)

  • Volume: 33, page 387-420
  • ISSN: 0303-1179

How to cite


Loeser, François. "Polytopes secondaires et discriminants." Séminaire Bourbaki 33 (1990-1991): 387-420. <http://eudml.org/doc/110144>.

author = {Loeser, François},
journal = {Séminaire Bourbaki},
keywords = {secondary polytopes; discriminants; Newton polytopes},
language = {fre},
pages = {387-420},
publisher = {Société Mathématique de France},
title = {Polytopes secondaires et discriminants},
url = {http://eudml.org/doc/110144},
volume = {33},
year = {1990-1991},

AU - Loeser, François
TI - Polytopes secondaires et discriminants
JO - Séminaire Bourbaki
PY - 1990-1991
PB - Société Mathématique de France
VL - 33
SP - 387
EP - 420
LA - fre
KW - secondary polytopes; discriminants; Newton polytopes
UR - http://eudml.org/doc/110144
ER -


  1. [B-F-S] L. Billera, P. Filliman, B. Sturmfels, Constructions and complexity of secondary polytopes, Advances in Mathematics83, 155- 179 (1990). Zbl0714.52004MR1074022
  2. [D] V.I. Danilov, Geometry of toric varieties, Russian Math. Surv.33, 97-154 (1978). Zbl0425.14013MR495499
  3. [G-K-Z 1] I.M. Gelfand, M.M. Kapranov, A.V. Zelevinsky, Hypergeometric functions and toric varieties, Funktsional. Anal. i Prilozhen23, 12-26 (1989) (en russe). Zbl0721.33006MR1011353
  4. [G-K-Z 2] I.M. Gelfand, M.M. Kapranov, A.V. Zelevinsky, Discriminants of polynomials in several variables and triangulations of Newton polytopes, Algebra i analiz2, 1-62 (1990) (en russe). Zbl0741.14033MR1052262
  5. [G-K-Z 3] I.M. Gelfand, M.M. Kapranov, A.V. Zelevinsky, Newton polytopes and the classical resultant and discriminant, Advances in Mathematics, 84, 237-254 (1990). Zbl0721.33002MR1080979
  6. [G-K-Z 4] I.M. Gelfand, M.M. Kapranov, A.V. Zelevinsky, Gener- alized Euler integrals and A-hypergeometric functions, Advances in Mathematics, 84, 255-271 (1990). Zbl0741.33011MR1080980
  7. [G-K-Z 5] I.M. Gelfand, M.M. Kapranov, A.V. Zelevinsky, Projec- tively dual varieties and hyperdeterminants, Doklady305, 1294-1298 (1989) (en russe). Zbl0715.14042
  8. [K-S-Z] M.M. Kapranov, B. Sturmfels, A.V. Zelevinsky, Chow polytopes and general resultants. Preprint (1990). Zbl0780.14027MR1174606
  9. [Kn-M] F. Knusden, D. Mumford, The projectivity of the moduli space of stable curves I : Preliminaries on "det" and "Div", Math. Scand.39, 19-55 (1976). Zbl0343.14008MR437541
  10. [K] A.G. Koushnirenko, Polyèdres de Newton et nombres de Mil- nor, Invent. Math.32, 1-31 (1976). Zbl0328.32007MR419433
  11. [S] B. Sturmfels, Gröbner bases of toric varieties, Tohoku Math. J. (à paraître). Zbl0714.14034
  12. [V] O. Viro, Gluing algebraic surfaces, removing singularities, and constructing curves, Proc. Leningrad Internat. Topology Conf. Nauka, 149-197 (1983). Zbl0605.14021

NotesEmbed ?


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.