Polytopes secondaires et discriminants

François Loeser

Séminaire Bourbaki (1990-1991)

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

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

@article{Loeser1990-1991,
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},
}

TY - JOUR
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 -

References

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  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

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