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100   $a20190708d2016      fg 
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt
182   $cc
183   $acr
200 10$aPeriod Spaces for p-divisible Groups (AM-141), Volume 141 /$fThomas Zink, Michael Rapoport
210  1$aPrinceton, NJ : $cPrinceton University Press, $d[2016]
210  4$dİ2016
215   $a1 online resource (347 pages)
225 0 $aAnnals of Mathematics Studies ;$v152
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a0-691-02782-X 
311   $a0-691-02781-1 
320   $aIncludes bibliographical references and index.
327   $tFrontmatter -- $tContents -- $tIntroduction -- $t1. p-adic symmetric domains -- $t2. Quasi-isogenies of p-divisible groups -- $t3. Moduli spaces of p-divisible groups -- $tAppendix: Normal forms of lattice chains -- $t4. The formal Hecke correspondences -- $t5. The period morphism and the rigid-analytic coverings -- $t6. The p-adic uniformization of Shimura varieties -- $tBibliography -- $tIndex
330   $aIn this monograph p-adic period domains are associated to arbitrary reductive groups. Using the concept of rigid-analytic period maps the relation of p-adic period domains to moduli space of p-divisible groups is investigated. In addition, non-archimedean uniformization theorems for general Shimura varieties are established. The exposition includes background material on Grothendieck's "mysterious functor" (Fontaine theory), on moduli problems of p-divisible groups, on rigid analytic spaces, and on the theory of Shimura varieties, as well as an exposition of some aspects of Drinfelds' original construction. In addition, the material is illustrated throughout the book with numerous examples.
410  0$aAnnals of mathematics studies ;$vno. 141.
606   $ap-divisible groups
606   $aModuli theory
606   $ap-adic groups
610   $aAbelian variety.
610   $aAddition.
610   $aAlexander Grothendieck.
610   $aAlgebraic closure.
610   $aAlgebraic number field.
610   $aAlgebraic space.
610   $aAlgebraically closed field.
610   $aArtinian ring.
610   $aAutomorphism.
610   $aBase change.
610   $aBasis (linear algebra).
610   $aBig O notation.
610   $aBilinear form.
610   $aCanonical map.
610   $aCohomology.
610   $aCokernel.
610   $aCommutative algebra.
610   $aCommutative ring.
610   $aComplex multiplication.
610   $aConjecture.
610   $aCovering space.
610   $aDegenerate bilinear form.
610   $aDiagram (category theory).
610   $aDimension (vector space).
610   $aDimension.
610   $aDuality (mathematics).
610   $aElementary function.
610   $aEpimorphism.
610   $aEquation.
610   $aExistential quantification.
610   $aFiber bundle.
610   $aField of fractions.
610   $aFinite field.
610   $aFormal scheme.
610   $aFunctor.
610   $aGalois group.
610   $aGeneral linear group.
610   $aGeometric invariant theory.
610   $aHensel's lemma.
610   $aHomomorphism.
610   $aInitial and terminal objects.
610   $aInner automorphism.
610   $aIntegral domain.
610   $aIrreducible component.
610   $aIsogeny.
610   $aIsomorphism class.
610   $aLinear algebra.
610   $aLinear algebraic group.
610   $aLocal ring.
610   $aLocal system.
610   $aMathematical induction.
610   $aMaximal ideal.
610   $aMaximal torus.
610   $aModule (mathematics).
610   $aModuli space.
610   $aMonomorphism.
610   $aMorita equivalence.
610   $aMorphism.
610   $aMultiplicative group.
610   $aNoetherian ring.
610   $aOpen set.
610   $aOrthogonal basis.
610   $aOrthogonal complement.
610   $aOrthonormal basis.
610   $aP-adic number.
610   $aParity (mathematics).
610   $aPeriod mapping.
610   $aPrime element.
610   $aPrime number.
610   $aProjective line.
610   $aProjective space.
610   $aQuaternion algebra.
610   $aReductive group.
610   $aResidue field.
610   $aRigid analytic space.
610   $aSemisimple algebra.
610   $aSheaf (mathematics).
610   $aShimura variety.
610   $aSpecial case.
610   $aSubalgebra.
610   $aSubgroup.
610   $aSubset.
610   $aSummation.
610   $aSupersingular elliptic curve.
610   $aSupport (mathematics).
610   $aSurjective function.
610   $aSymmetric bilinear form.
610   $aSymmetric space.
610   $aTate module.
610   $aTensor algebra.
610   $aTensor product.
610   $aTheorem.
610   $aTopological ring.
610   $aTopology.
610   $aTorsor (algebraic geometry).
610   $aUniformization theorem.
610   $aUniformization.
610   $aUnitary group.
610   $aWeil group.
610   $aZariski topology.
615  0$ap-divisible groups.
615  0$aModuli theory.
615  0$ap-adic groups.
676   $a512.2
686   $aSI 830$2rvk
700   $aRapoport$b Michael, $048820
702   $aZink$b Thomas, 
801  0$bDE-B1597
801  1$bDE-B1597
906   $aBOOK
912   $a9910154754603321
996   $aPeriod Spaces for p-divisible Groups (AM-141), Volume 141$92788531
997   $aUNINA