Differential modules defined by systems of equations

Alan Adolphson; Steven Sperber

Rendiconti del Seminario Matematico della Università di Padova (1996)

  • Volume: 95, page 37-57
  • ISSN: 0041-8994

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Adolphson, Alan, and Sperber, Steven. "Differential modules defined by systems of equations." Rendiconti del Seminario Matematico della Università di Padova 95 (1996): 37-57. <http://eudml.org/doc/108397>.

@article{Adolphson1996,
author = {Adolphson, Alan, Sperber, Steven},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {hypergeometric differential equations; -module of hypergeometric type; Dwork cohomology spaces},
language = {eng},
pages = {37-57},
publisher = {Seminario Matematico of the University of Padua},
title = {Differential modules defined by systems of equations},
url = {http://eudml.org/doc/108397},
volume = {95},
year = {1996},
}

TY - JOUR
AU - Adolphson, Alan
AU - Sperber, Steven
TI - Differential modules defined by systems of equations
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1996
PB - Seminario Matematico of the University of Padua
VL - 95
SP - 37
EP - 57
LA - eng
KW - hypergeometric differential equations; -module of hypergeometric type; Dwork cohomology spaces
UR - http://eudml.org/doc/108397
ER -

References

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  1. [1] A. Adolphson, Hypergeometric functions and rings generated by monomials, Duke Math. J., 73 (1994), pp. 269-290. Zbl0804.33013MR1262208
  2. [2] A. Adolphson - S. Sperber, Exponential sums and Newton polyhedra: Cohomology and estimates, Ann. Math., 130 (1989), 367-406. Zbl0723.14017MR1014928
  3. [3] D.N. Bernstein, The number of roots of a system of equations, Func. Anal. Appl., 9 (1975), pp. 183-185 (English translation). Zbl0328.32001MR435072
  4. [4] B. Dwork - F. LOESER, Hypergeometric series, Japan. J. Math., 19 (1993), pp. 81-129. Zbl0796.12005MR1231511
  5. [5] N. Katz, Thesis, Princeton University (1966). 
  6. [6] N. Katz, On the differential equations satisfied by period matrices, Publ. Math. I.H.E.S., 35 (1968), pp. 223-258. Zbl0159.22502MR242841
  7. [7] A.G. Khovanskii, Newton polyhedra and toroidal varieties, Func. Anal. Appl., 11 (1977), pp. 289-296 (English translation). Zbl0445.14019MR476733
  8. [8] A.G. Khovanskii, Newton polyhedra and the genus of complete intersections, Func. Anal. Appl., 12 (1978), pp. 38-46 (English translation). Zbl0406.14035MR487230
  9. [9] A.G. Kouchnirenko, Polyèdres de Newton et nombres de Milnor, Invent. Math., 32 (1976), pp. 1-31. Zbl0328.32007MR419433
  10. [10] H. Matsumura, Commutative Ring Theory, Cambridge University Press, Cambridge (1986). Zbl0603.13001MR879273
  11. [11] E. Spanier, Algebraic Topology, McGraw-Hill, New York (1966). Zbl0145.43303MR210112

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