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Limits of tangents of quasi-ordinary hypersurfaces
Authors:
António Araújo and Orlando Neto
Journal:
Proc. Amer. Math. Soc. 141 (2013), 1-11
MSC (2010):
Primary 14B05, 32S05
Posted:
September 10, 2012
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Abstract: We compute explicitly the limits of tangents of a quasi-ordinary singularity in terms of its special monomials. We show that the set of limits of tangents of  is essentially a topological invariant of  .
- 1.
Chunsheng
Ban, Auréole of a quasi-ordinary
singularity, Proc. Amer. Math. Soc.
120 (1994), no. 2,
393–404. MR 1186128
(94i:32055), http://dx.doi.org/10.1090/S0002-9939-1994-1186128-7
- 2.
Joseph
Lipman, QUASI-ORDINARY SINGULARITIES OF EMBEDDED SURFACES,
ProQuest LLC, Ann Arbor, MI, 1965. Thesis (Ph.D.)–Harvard University.
MR
2939573
- 3.
Joseph
Lipman, Topological invariants of quasi-ordinary
singularities, Mem. Amer. Math. Soc. 74 (1988),
no. 388, 1–107. MR 954947
(89m:14001)
- 4.
Lê
Dũng Tráng and Bernard
Teissier, Limites d’espaces tangents en
géométrie analytique, Comment. Math. Helv.
63 (1988), no. 4, 540–578 (French). MR 966949
(89m:32025), http://dx.doi.org/10.1007/BF02566778
- 5.
O.
Neto, A microlocal Riemann-Hilbert correspondence, Compositio
Math. 127 (2001), no. 3, 229–241. MR 1845036
(2002k:32012), http://dx.doi.org/10.1023/A:1017575902563
- 6.
Masaki
Kashiwara and Takahiro
Kawai, On holonomic systems of microdifferential equations. III.
Systems with regular singularities, Publ. Res. Inst. Math. Sci.
17 (1981), no. 3, 813–979. MR 650216
(83e:58085), http://dx.doi.org/10.2977/prims/1195184396
- 1.
- C. Ban, ``Auréole of a quasi-ordinary singularity'', Proc. Amer. Math. Soc., 120 (1994), 393-404. MR 1186128 (94i:32055)
- 2.
- J. Lipman, ``Quasi-ordinary singularities of embedded surfaces'', Ph.D. thesis, Harvard University, 1965. MR 2939573
- 3.
- J. Lipman, ``Topological invariants of quasi-ordinary singularities'', Mem. Amer. Math. Soc., No. 74, Amer. Math. Soc., Providence, RI, 1988, pp. 1-107. MR 954947 (89m:14001)
- 4.
- Lê Dũng Tráng and B. Teissier, ``Limites d'espaces tangents en géométrie analytique'', Comment. Math. Helv., 63 (1988), 540-578. MR 966949 (89m:32025)
- 5.
- O. Neto, ``A microlocal Riemann-Hilbert correspondence'', Compositio Math., 127 (2001), No. 3, 229-241. MR 1845036 (2002k:32012)
- 6.
- M. Kashiwara and T. Kawai, ``On holonomic systems of microdifferential equations. III. Systems with regular singularities'', Publ. Res. Inst. Math. Sci., Vol. 17, No. 3 (1981), 813-979. MR 650216 (83e:58085)
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Additional Information
António Araújo
Affiliation:
DCeT, Universidade Aberta, R. Escola Politecnica 141-147, 1269-001 Lisboa, Portugal – and – CMAF, Universidade de Lisboa, Av. Gama Pinto, 2, 1699-003 Lisboa, Portugal
Email:
ant.arj@gmail.com
Orlando Neto
Affiliation:
Departamento de Matemática and CMAF, Faculdade de Ciências da Universidade de Lisboa, Av. Gama Pinto, 2, 1699-003 Lisboa, Portugal
Email:
orlando60@gmail.com
DOI:
http://dx.doi.org/10.1090/S0002-9939-2012-11126-8
PII:
S 0002-9939(2012)11126-8
Received by editor(s):
March 23, 2010
Received by editor(s) in revised form:
March 7, 2011
Posted:
September 10, 2012
Additional Notes:
This research was partially supported by FEDER and FCT-Plurianual 2010.
Communicated by:
Lev Borisov
Article copyright:
© Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
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