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\centerline{{\sectitlefont SERRE-TATE THEORY FOR MODULI SPACES OF PEL TYPE}}
\Askip

\centerline{{\it by}\quad{\namefont Ben Moonen\footnote{*}{{\eightrm Research 
made possible by a fellowship of the Royal Netherlands Academy of Arts and 
Sciences}}\phantom{\quad{\it by}}}}
\Askip

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\Askip\noindent
{\sectitlefont References}\writetocentry{nnsect}{References}
\nobreak\bigskip\nobreak
{\eightpoint
\item{SGA 3}
M.~Demazure et al., {\it Sch\'emas en groupes, \Romno1, \Romno2, \Romno3\/}, 
Lect.\ Notes in Math.\ {\bf 151}, {\bf 152}, {\bf 153}, 
Springer-Verlag, Berlin, 1970. 

\item{SGA 7}
A.~Grothendieck et al., {\it Groupes de monodromie en g\'eom\'etrie 
alg\'ebrique\/}, Lect.\ Notes in Math.\ {\bf 288}, {\bf 340},
Springer-Verlag, Berlin, 1972.
\smallskip

\item{[\BlaRog]}
D.~Blasius and J.D.~Rogawski, {\it Zeta functions of Shimura varieties\/}, in: 
Motives (U.~Jannsen, S.~Kleiman, J-P.~Serre, eds.), Proc.\ Symp.\ Pure Math.\ 
{\bf 55}, part~2, AMS, Providence, 1994, pp.~525--571.  

\item{[\ColFon]}
P.~Colmez, J.-M.~Fontaine, {\it Construction des repr\'esentations $p$-adiques
semi-stables\/}, Invent.\ math.\ {\bf 140} (2000), 1--43.

\item{[\Conr]}
B.~Conrad, {\it Background notes on $p$-divisible groups over local fields\/}, 
unpublished manuscript, available at 
{\tt www-math.mit.edu/\kern-1pt\lower 2pt\hbox{\~{\ }}\kern-4pt dejong}~.

\item{[\DelCoord]}
P.~Deligne, {\it Cristaux ordinaires et coordonn\'ees canoniques\/}; with the 
collaboration of L.~Illusie; with an appendix by N.M.~Katz; in: Surfaces 
Alg\'ebriques (J.~Giraud, L.~Illusie, M.~Raynaud, eds.), Lect.\ Notes in Math.\ 
{\bf 868}, Springer-Verlag, Berlin, 
1981, pp.~80--137.

\item{[\Falt]}
G.~Faltings, {\it Integral crystalline cohomology over very ramified valuation 
rings\/}, J.A.M.S.\ {\bf 12} (1999), 117--144.

\item{[\FaCh]}
G.~Faltings and C.-L.~Chai, {\it Degeneration of abelian varieties\/}, Ergebnisse 
der Math., 3.~Folge, {\bf 22}, Springer-Verlag, Berlin, 1990.

\item{[\Font]}
J.-M.~Fontaine, {\it Groupes $p$-divisibles sur les corps locaux\/}, 
Ast\'erisque {\bf 47--48} (1977).  

\item{[\GorOo]}
E.Z.~Goren and F.~Oort, {\it Stratifications of Hilbert modular varieties\/}, J.\ 
Alg.\ Geom.\ {\bf 9} (2000), 111--154.

\item{[\Illus]}
L.~Illusie, {\it D\'eformations de groupes de Barsotti-Tate (d'apr\`es 
A.~Grothendieck)\/}, in: S\'emi\-naire sur les pinceaux arithm\'etiques: la 
conjecture de Mordell (L.~Szpiro, ed.), Ast\'erisque {\bf 127} (1985), 151--198.

\item{[\Katz]}
N.M.~Katz, {\it Slope filtration of $F$-crystals\/}, Ast\'erisque {\bf 63}
(1979), 113--163.

\item{[\KatzST]}
N.M.~Katz, {\it Serre-Tate local moduli\/}, in: Surfaces Alg\'ebriques 
(J.~Giraud, L.~Illusie, M.~Raynaud, eds.), Lect.\ Notes in Math.\ {\bf 868}, 
Springer-Verlag, Berlin, 1981, pp.~138--202.

\item{[\Knus]}
M.-A.~Knus, {\it Quadratic and hermitian forms over rings\/}, Grundlehren der 
math.\ Wiss.\ {\bf 294}, Springer-Verlag, Berlin, 1991.

\item{[\KottTOI]}
R.E.~Kottwitz, {\it Shimura varieties and twisted orbital integrals\/}, Math.\ 
Ann.\ {\bf 269} (1984), 287--300. 

\item{[\KottIsoc]}
R.E.~Kottwitz, {\it Isocrystals with additional structure\/}, Compos.\ Math.\ 
{\bf 56} (1985), 201--220; {\it ---~\Romno 2\/}, Compos.\ Math.\ {\bf 109} 
(1997), 
255--339.

\item{[\Kott]}
R.E.~Kottwitz, {\it Points on some Shimura varieties over finite fields\/}, 
J.A.M.S.\ {\bf 5} (1992), 373--444.

\item{[\Kraft]}
H.~Kraft, {\it Kommutative algebraische $p$-Gruppen (mit Anwendungen auf 
$p$-divisible Gruppen und abelsche Variet\"aten)\/}, manuscript, Univ.\ Bonn, 
Sept.\ 1975, 86 pp. (Unpublished)

\item{[\LST]}
J.~Lubin, J-P.~Serre and J.~Tate, {\it Elliptic curves and formal groups\/}, 
Woods Hole Summer Institute, 1964. (Mimeographed notes.) Available at 
{\tt www.ma.utexas.edu/users/voloch/lst.html}~.

\item{[\Manin]}
Yu.I.~Manin, {\it The theory of commutative formal groups over fields of finite 
characteristic\/}, Uspehi Mat.\ Nauk.\ {\bf 18} (1963), 3--90; English 
translation: Russian Math.\ Surv.\ {\bf 18} (1963), 1--83.

\item{[\Mess]}
W.~Messing, {\it The crystals associated to Barsotti-Tate groups: with 
applications to abe\-lian sche\-mes\/}, Lect.\ Notes in Math.\ {\bf 264}, 
Springer-Verlag, Berlin, 1972.

\item{[\Milne]}
J.S.~Milne, {\it Shimura varieties and motives\/}, in: Motives (U.~Jannsen, 
S.~Kleiman, J-P.~Serre, eds.), Proc.\ Symp.\ Pure Math.\ {\bf 55}, part~2, AMS, 
Providence, 1994, pp.~447--523. 

\item{[\Durh]}
B.J.J.~Moonen, {\it Models of Shimura varieties in mixed characteristics\/}, in: 
Galois Representations in Arithmetic Algebraic Geometry (A.J.~Scholl, R.~Taylor, 
eds.), London Math. Soc., Lecture Notes Series {\bf 254}, Cambridge Univ. Press, 
Cambridge, 1998, pp.\ 271--354.

\item{[\GSAS]}
B.J.J.~Moonen, {\it Group schemes with additional structures and Weyl group 
cosets\/}, in: Moduli of Abelian Varieties (C.~Faber, G.~van der Geer, F.~Oort, 
eds.), Progr.\ Math.\ {\bf 195}, Birkh\"auser, Basel, 2001, pp.\ 255--298.

\item{[\DFEO]}
B.J.J.~Moonen, {\it A dimension formula for Ekedahl-Oort strata\/}, math.AG/0208161.

\item{[\MAV]}
D.~Mumford, {\it Abelian varieties\/}, Oxford Univ.\ Press, Oxford, 1970.

\item{[\Noot]}
R.~Noot, {\it Models of Shimura varieties in mixed characteristic\/}, J.\ Alg.\ 
Geom.\ {\bf 5} (1996), 187--207.

\item{[\FOTexel]}
F.~Oort, {\it A stratificiation of a moduli space of abelian varieties\/}, in:
Moduli of Abelian Varieties (C.~Faber, G.~van der Geer, F.~Oort, eds.), Progr.\ 
Math.\ {\bf 195}, Birkh\"auser, Basel, 2001, pp.\ 345--416.

\item{[\FOTexelB]}
F.~Oort, {\it Newton polygon strata in the moduli space of abelian varieties\/}, 
in:
Moduli of Abelian Varieties (C.~Faber, G.~van der Geer, F.~Oort, eds.), Progr.\ 
Math.\ {\bf 195}, Birkh\"auser, Basel, 2001, pp.\ 417--440.

\item{[\RapBourb]}
M.~Rapoport, {\it On the Newton stratification\/}, S\'em.\ Bourbaki, Mars 2002.

\item{[\RR]}
M.~Rapoport and M.~Richartz, {\it On the classification and specialization of 
$F$-isocrystals with additional structure\/}, Compos.\ Math.\ {\bf 103} (1996), 
153--181.

\item{[\Rayn]}
M.~Raynaud, {\it Sch\'emas en groupes de type $(p,\ldots,p)$\/}, Bull.\ Soc.\ 
math.\ France {\bf 102} (1974), 241--280.

\item{[\ReimZink]}
H.~Reimann und Th.~Zink, {\it Der Dieudonn\'emodul einer polarisierten abelschen
Mannigfaltigkeit vom CM-Typ\/}, Ann.\ Math.\ {\bf 128} (1988), 461--482.

\item{[\Saav]}
N.~Saavedra Rivano, {\it Cat\'egories Tannakiennes\/}, Lect.\ Notes in Math.\ 
{\bf 265}, Springer-Verlag, Berlin, 1972.

\item{[\Stamm]}
H.~Stamm, {\it On the reduction of the Hilbert-Blumenthal-moduli scheme with 
$\Gamma_0(p)$-level structure\/}, Forum Math.\ {\bf 9} (1997), 405--455. 

\item{[\WedhOrd]}
T.~Wedhorn, {\it Ordinariness in good reductions of Shimura varieties of 
PEL-type\/}, Ann.\ scient.\ \'Ec.\ Norm.\ Sup.\ (4) {\bf 32} (1999), 575--618.

\item{[\WedhCong]}
T.~Wedhorn, {\it Congruence relations on some Shimura varieties\/}, J.\ reine 
angew.\ Math.\ {\bf 524} (2000), 43--71. 

\item{[\Wedh]}
T.~Wedhorn, {\it The dimension of Oort strata of Shimura varieties of PEL-type\/}, 
in: Moduli of Abelian Varieties (C.~Faber, G.~van der Geer, F.~Oort, eds.), 
Progr.\ Math.\ {\bf 195}, Birkh\"auser, Basel, 2001, pp.\ 441--471.
\Bskip 

\noindent
Ben Moonen, University of Amsterdam, Korteweg-de Vries Institute for 
Mathematics, Plantage Muidergracht~24, 1018~TV Amsterdam, The Netherlands. 
Email: {\tt bmoonen@science.uva.nl}\par}
\bye  

      

 
