Temperate holomorphic solutions and regularity of holonomic D-modules on curves

Ana Rita Martins

Rendiconti del Seminario Matematico della Università di Padova (2007)

  • Volume: 118, page 35-48
  • ISSN: 0041-8994

How to cite

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Martins, Ana Rita. "Temperate holomorphic solutions and regularity of holonomic D-modules on curves." Rendiconti del Seminario Matematico della Università di Padova 118 (2007): 35-48. <http://eudml.org/doc/108728>.

@article{Martins2007,
author = {Martins, Ana Rita},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {35-48},
publisher = {Seminario Matematico of the University of Padua},
title = {Temperate holomorphic solutions and regularity of holonomic D-modules on curves},
url = {http://eudml.org/doc/108728},
volume = {118},
year = {2007},
}

TY - JOUR
AU - Martins, Ana Rita
TI - Temperate holomorphic solutions and regularity of holonomic D-modules on curves
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2007
PB - Seminario Matematico of the University of Padua
VL - 118
SP - 35
EP - 48
LA - eng
UR - http://eudml.org/doc/108728
ER -

References

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  1. [1] L. PRELLI, Sheaves on subanalytic sites, arXiv:math.AG/0505498 (2005) Zbl1171.32002MR2492657
  2. [2] G. MORANDO, An existence theorem for tempered holomorphic solutions of D-modules on complex curves, arXiv:math.AG/0605507 (2006) 
  3. [3] N. HONDA, On the solvability of ordinary differential equations in the space of distributions, Jour. Fac. Sci. Univ. Tokyo IA, Vol. 39, no. 2 (1992), pp. 207-232. Zbl0761.34011MR1179767
  4. [4] M. KASHIWARA, Algebraic study of systems of partial differential equations, (Thesis, Tokyo 1970) translated and published in Memoires Soc. Math. Fr. 63, chapter 4 (1995). Zbl0877.35003MR1384226
  5. [5] M. KASHIWARA, D-modules and microlocal calculus, Translations of Mathematical monographs, Vol. 217 (2000). Zbl1017.32012MR1943036
  6. [6] M. KASHIWARA, The Riemann-Hilbert problem for holonomic systems, Publ. RIMS, Kyoto Univ., Vol. 20, no. 2 (1984), pp. 319-365. Zbl0566.32023MR743382
  7. [7] M. KASHIWARA - P. SCHAPIRA, Ind-sheaves, Astérisque, Soc. Math. France, 271 (2001). Zbl0993.32009MR1827714
  8. [8] M. KASHIWARA - P. SCHAPIRA, Microlocal study of Ind-sheaves I: microsupport and regularity, Astérisque, Soc. Math. France, 284 (2003), pp. 143-164. Zbl1053.35009MR2003419
  9. [9] M. KASHIWARA - P. SCHAPIRA, Sheaves on manifolds, Grundlehren der Math. Wiss., Springer Verlag, 292 (1990). Zbl0709.18001MR1074006
  10. [10] M. KASHIWARA - T. KAWAI, On holonomic systems of microdifferential equations III - Systems with regular singularities, Publications of the research institute for mathematical sciences, Kyoto University, Vol. 17, no. 3 (1981), pp. 813-979. Zbl0505.58033MR650216
  11. [11] S. LOJASIEWICZ, Sur le probléme de la division, Studia Mathematica, 18 (1959), pp. 87-136. Zbl0115.10203MR107168
  12. [12] W. WASOW, Asymptotic expansions of ordinary differential equations, Pure and Applied Mathematics, Vol. XIV, Interscience Publishers John Wiley & Sons, Inc., New York-London-Sydney (1965). Zbl0133.35301MR203188

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