Duke Mathematical Journal

Local indices of $p$-adic differential operators corresponding to Artin-Schreier-Witt coverings

Shigeki Matsuda
Source: Duke Math. J. Volume 77, Number 3 (1995), 607-625.
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Primary Subjects: 14F30
Secondary Subjects: 12H25
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077286535
Mathematical Reviews number (MathSciNet): MR1324636
Zentralblatt MATH identifier: 0849.12013
Digital Object Identifier: doi:10.1215/S0012-7094-95-07719-9

References

[Ab] S. S. Abhyankar, Local Analytic Geometry, Pure and Applied Mathematics, Vol. XIV, Academic Press, New York, 1964.
Mathematical Reviews (MathSciNet): MR31:173
Zentralblatt MATH: 0205.50401
[Be] P. Berthelot, Cohomologie rigide et théorie des $\mathcal{D}$-modules, $p$-Adic Analysis (Trento, 1989), Lecture Notes in Math., vol. 1454, Springer-Verlag, Berlin, 1990, pp. 80–124.
Mathematical Reviews (MathSciNet): MR92h:14013
Zentralblatt MATH: 0722.14008
[Cr] R. Crew, $F$-isocrystals and $p$-adic representations, Algebraic Geometry, Bowdoin, 1985 (Brunswick, Maine, 1985), Proc. Sympos. Pure Math., vol. 46, Amer. Math. Soc., Providence, 1987, pp. 111–138.
Mathematical Reviews (MathSciNet): MR89c:14024
Zentralblatt MATH: 0639.14011
[Fo] J. M. Fontaine, Représentations $p$-adiques des corps locaux. I, The Grothendieck Festschrift, Vol. II, Progr. Math., vol. 87, Birkhäuser Boston, Boston, MA, 1990, pp. 249–309.
Mathematical Reviews (MathSciNet): MR92i:11125
Zentralblatt MATH: 0743.11066
[Ga] L. Garnier, Quelques propriétés des $\mathcal{D}^\dag$-modules holonomes sur une courbe, thèse, Université de Rennes, 1993.
[Ha] H. Hasse, Die Grupper der $P^{n}$-primären Zahlen für einen Primteiler $\mathfrak{p}$ von $p$, J. Reine Angew. Math. 176 (1936), 174–183.
Zentralblatt MATH: 0016.05204
[Ka] K. Kato, Swan conductors for characters of degree one in the imperfect residue field case, Algebraic $K$-theory and Algebraic Number Theory (Honolulu, HI, 1987), Contemp. Math., vol. 83, Amer. Math. Soc., Providence, 1989, pp. 101–131.
Mathematical Reviews (MathSciNet): MR90g:11164
Zentralblatt MATH: 0716.12006
[Ma] S. Matsuda, On the Swan conductor in positive characteristic, preprint.
Mathematical Reviews (MathSciNet): MR1465067
Zentralblatt MATH: 0928.14017
Digital Object Identifier: doi:10.1353/ajm.1997.0026
[Ra] M. Raynaud, Anneaux Locaux Henséliens, Lecture Notes in Math., vol. 169, Springer-Verlag, Berlin, 1970.
Mathematical Reviews (MathSciNet): MR43:3252
Zentralblatt MATH: 0203.05102
[Ro] P. Robba, Indice d'un opérateur différentiel $p$-adique. IV. Cas des systèmes. Mesure de l'irrégularité dans un disque, Ann. Inst. Fourier (Grenoble) 35 (1985), no. 2, 13–55.
Mathematical Reviews (MathSciNet): MR86j:12012
Zentralblatt MATH: 0548.12016
[SS] T. Sekiguchi and N. Suwa, Théorie de Kummer-Artin-Schreier-Witt, preprint.
Mathematical Reviews (MathSciNet): MR1288386
[Vo] S. V. Vostokov, Explicit form of the law of reciprocity, Math. USSR-Izv. 13 (1978), 557–588.
Zentralblatt MATH: 0467.12018
[Yo] P. T. Young, Radii of convergence and index for $p$-adic differential operators, Trans. Amer. Math. Soc. 333 (1992), no. 2, 769–785.
Mathematical Reviews (MathSciNet): MR92m:12015
Zentralblatt MATH: 0762.12005
Digital Object Identifier: doi:10.2307/2154061

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