@article{CM_1995__97_3_385_0, author = {Varchenko, A.}, title = {Critical points of the product of powers of linear functions and families of bases of singular vectors}, journal = {Compositio Mathematica}, pages = {385--401}, publisher = {Kluwer Academic Publishers}, volume = {97}, number = {3}, year = {1995}, mrnumber = {1353281}, zbl = {0842.17044}, language = {en}, url = {http://archive.numdam.org/item/CM_1995__97_3_385_0/} }
TY - JOUR AU - Varchenko, A. TI - Critical points of the product of powers of linear functions and families of bases of singular vectors JO - Compositio Mathematica PY - 1995 SP - 385 EP - 401 VL - 97 IS - 3 PB - Kluwer Academic Publishers UR - http://archive.numdam.org/item/CM_1995__97_3_385_0/ LA - en ID - CM_1995__97_3_385_0 ER -
%0 Journal Article %A Varchenko, A. %T Critical points of the product of powers of linear functions and families of bases of singular vectors %J Compositio Mathematica %D 1995 %P 385-401 %V 97 %N 3 %I Kluwer Academic Publishers %U http://archive.numdam.org/item/CM_1995__97_3_385_0/ %G en %F CM_1995__97_3_385_0
Varchenko, A. Critical points of the product of powers of linear functions and families of bases of singular vectors. Compositio Mathematica, Volume 97 (1995) no. 3, pp. 385-401. http://archive.numdam.org/item/CM_1995__97_3_385_0/
[A1] On the structure of integrals of power product of linear functions, Sc. Papers of the College of General Education. Tokyo Univ. 27 (1977) 49-61. | MR | Zbl
:[A2] On the complex Selberg integral, Q. J. Math. Oxford 38 (1987) 385-399. | MR | Zbl
:[As] Some basic hypergeometric extensions of integrals of Selberg and Andrews, SIAM J. Math. 11 (1980) 938-951. | MR | Zbl
:[BBR] Theory of Mobius functions, Uspehi Mat. Nauk. 41 (1986) no. 3, 113-157. | MR | Zbl
, and :[BBK] Newton polytopes, Uspehi Mat. Nauk. 31 (1976) no. 3, 201-202. | MR | Zbl
, and :[BV] Determinant formula for the bilinear form of a matroid (Preprint) 1993 will appear in Adv. in Math. | Zbl
and :[DF1] Conformal algebra and multipoint correlation functions in 2D statistical models, Nucl. Phys. B240 (1984) 312-348.
and :[DF2] Four-point correlation functions and the operator algebra in 2D conformal invariant theories with central charge c ≤ 1, Nucl. Phys. B251 (1985) 691-734.
and :[G] General theory of hypergeometric functions, Dokl. Akad. Nauk. SSSR 288 (1986) 573-576. | MR | Zbl
:[Ga] Diagonalization d'une classe d'hamiltoniens de spin, Journ. de Physique 37 (1976) no. 10, 1087-1098. | MR
:[K] Calculation of Norms of Bethe Wave Functions, Comm. Math. Phys. 86 (1982) 391-418. | MR | Zbl
:[L] Arrangements d'hyperplans et sommes de Gauss, Ann. Scient. Ec. Norm. Sup. 24 (1991) 379-400. | Numdam | MR | Zbl
:[LS] Equations aux differences finies et determinants d'integrales de fonctions multiformes, Comment. Math. Helv. 66 (1991) 345-361. | MR | Zbl
and :[M] Random Matrices, Acad. Press, 1991. | MR | Zbl
:[OS] Combinatorics and Topology of Complements of Hyperplanes, Invent. Math. 56 (1980) 167-189. | MR | Zbl
and :[RV] Quasiclassical Asymptotics of Solutions of the KZ Equations (Preprint) 1993.
and :[SV] Arrangements of hyperplanes and Lie algebra homology, Invent. Math. 106 (1991) 139-194. | MR | Zbl
and :[S] Bemerkninger om et multiplet integral, Norsk. Mat. Tidsskr. 26 (1994) 71-78. | MR | Zbl
:[Sz] Orthogonal Polynomials, AMS, 1939.
:[V1] The Euler beta-function, the Vandermonde determinant, the Legendre equation, and critical values of linear function on a configuration of hyperplanes, I, Math. USSR-Izv. 35 (1990) 543-571; II, Math. USSR-Izv. 36 (1991) 155-168. | MR | Zbl
:[V2] Determinant formula for Selberg type integrals, Funct. Analysis and its Appl. 25 (1991) no. 4, 88-89. | MR | Zbl
:[V3] Critical values and determinant of periods, Uspehi Mat. Nauk. 44 (1987) 235-236. | MR | Zbl
:[V4] Multidimensional hypergeometric functions and representation theory of Lie algebras and quantum groups Advanced Series in Math. Physics - Vol. 21, World Scientific Publ., 1995. | MR | Zbl
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