Algebraic Fermi curves

Chris Peters

Séminaire Bourbaki (1989-1990)

  • Volume: 32, page 239-258
  • ISSN: 0303-1179

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Peters, Chris. "Algebraic Fermi curves." Séminaire Bourbaki 32 (1989-1990): 239-258. <http://eudml.org/doc/110126>.

@article{Peters1989-1990,
author = {Peters, Chris},
journal = {Séminaire Bourbaki},
keywords = {algebraic Fermi curves; Bloch variety; density of states function},
language = {eng},
pages = {239-258},
publisher = {Société Mathématique de France},
title = {Algebraic Fermi curves},
url = {http://eudml.org/doc/110126},
volume = {32},
year = {1989-1990},
}

TY - JOUR
AU - Peters, Chris
TI - Algebraic Fermi curves
JO - Séminaire Bourbaki
PY - 1989-1990
PB - Société Mathématique de France
VL - 32
SP - 239
EP - 258
LA - eng
KW - algebraic Fermi curves; Bloch variety; density of states function
UR - http://eudml.org/doc/110126
ER -

References

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  1. [AM] Ashcroft, N. and N. Mermin : Solid State Physics. Holt,Rinehard and Winston1976. 
  2. [B1] Bättig, D.: A toroidal compactification of the two dimensional Bloch variety. Thesis, ETHZürich1988. 
  3. [B2] Bättig, D.: A toroidal compactification of the complex Fermi surface, preprint 1989. 
  4. [BKT] Bättig, D., H. Knörrer, E. Trubowitz: A directional compactification of the complex Fermi surface, preprint 1989. 
  5. [D] Deligne, P.: Théorie de Hodge 2, Publ. Math IHÉS40, 5-57 (1972). Zbl0219.14007MR498551
  6. [ERT] Eskin, G., J. Ralston, E. Trubowitz : On isospectral periodic potentials in Rn. Comm. Pure Appl. Math.37 (1984) 647-676. Zbl0574.35021MR752594
  7. [G] Gerard, G. : Resonance theory for periodic Schrödinger operators, preprint 1989. MR1046265
  8. [GH] Griffiths, P. and J. Harris: Principles of Algebraic Geometry, John Wiley & Sons1978. Zbl0836.14001MR507725
  9. [GKT1] Gieseker, D., H. Knörrer and E. Trubowitz: An overview of the geometry of Algebraic Fermi curves, Preprint UCLA1989. Zbl0751.14021MR1108630
  10. [GKT2] Gieseker, D., H. Knörrer and E. Trubowitz: The geometry of algebraic Fermi curves, manuscript 1989. Zbl0778.14011
  11. [K] Kappeler, T. : On isospectral potentials on a discrete lattice II, to apear in Adv. in Appl. Math. Zbl0675.35023MR968676
  12. [KT] Knörrer, H. and E. Trubowitz: A directional compactification of the complex Bloch variety, to appear in Comm. Math. Helv.1990. Zbl0723.32006MR1036133
  13. [M] Moerbeke, P. van: About isospectral deformations of discrete laplacians. In Global Analysis, Proc. Calgary 1978,SpringerLecture Notes in Math.755 (1978), 313-370. Zbl0464.58019MR564908
  14. [Mu] Mumford, D.: An algebro-geometric construction of commuting operators and of solutions of the Toda lattice equation, Korteweg de Vries equation and related non-linear equations.Proc. Int. Symp. Alg. Geometry, Kyoto1977, 115-153. Zbl0423.14007MR578857
  15. [MT] McKean, H., E. Trubowitz: Hills operator and hyperelliptic function theory in the presence of infinitely many branch points. Comm. Pure Appl. Math29, 143-226 (1976). Zbl0339.34024MR427731
  16. [PS] Peters, C. and J. Stienstra: A pencil of K3- surfaces related to Apéry's recurrence for ((3) and Fermi surfaces for potential zero. In : Arithmetic of Complex Manifolds, Proc. Erlangen 1988, SpringerLecture Notes in Mathematics1399 pp 110-127, 1989. Zbl0701.14037MR1034260
  17. [VKN] Veselov, A., I. Krichever, S. Novikov: Two-dimensional periodic Schrödinger operators and Prym's Θ-functions, In Geometry of Today, Roma 1984, Birkh. Verlag1985, 283-301. Zbl0575.35084

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