Period Spaces for p-divisible Groups (AM-141), Volume 141 / / Michael Rapoport, Thomas Zink.
In 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...
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Rapoport, Michael, author. aut http://id.loc.gov/vocabulary/relators/aut Period Spaces for p-divisible Groups (AM-141), Volume 141 / Michael Rapoport, Thomas Zink. Princeton, NJ : Princeton University Press, [2016] ©1996 1 online resource (353 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 141 Frontmatter -- Contents -- Introduction -- 1. p-adic symmetric domains -- 2. Quasi-isogenies of p-divisible groups -- 3. Moduli spaces of p-divisible groups -- Appendix: Normal forms of lattice chains -- 4. The formal Hecke correspondences -- 5. The period morphism and the rigid-analytic coverings -- 6. The p-adic uniformization of Shimura varieties -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star In 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Moduli theory. p-adic groups. p-divisible groups. MATHEMATICS / Number Theory. bisacsh Abelian variety. Addition. Alexander Grothendieck. Algebraic closure. Algebraic number field. Algebraic space. Algebraically closed field. Artinian ring. Automorphism. Base change. Basis (linear algebra). Big O notation. Bilinear form. Canonical map. Cohomology. Cokernel. Commutative algebra. Commutative ring. Complex multiplication. Conjecture. Covering space. Degenerate bilinear form. Diagram (category theory). Dimension (vector space). Dimension. Duality (mathematics). Elementary function. Epimorphism. Equation. Existential quantification. Fiber bundle. Field of fractions. Finite field. Formal scheme. Functor. Galois group. General linear group. Geometric invariant theory. Hensel's lemma. Homomorphism. Initial and terminal objects. Inner automorphism. Integral domain. Irreducible component. Isogeny. Isomorphism class. Linear algebra. Linear algebraic group. Local ring. Local system. Mathematical induction. Maximal ideal. Maximal torus. Module (mathematics). Moduli space. Monomorphism. Morita equivalence. Morphism. Multiplicative group. Noetherian ring. Open set. Orthogonal basis. Orthogonal complement. Orthonormal basis. P-adic number. Parity (mathematics). Period mapping. Prime element. Prime number. Projective line. Projective space. Quaternion algebra. Reductive group. Residue field. Rigid analytic space. Semisimple algebra. Sheaf (mathematics). Shimura variety. Special case. Subalgebra. Subgroup. Subset. Summation. Supersingular elliptic curve. Support (mathematics). Surjective function. Symmetric bilinear form. Symmetric space. Tate module. Tensor algebra. Tensor product. Theorem. Topological ring. Topology. Torsor (algebraic geometry). Uniformization theorem. Uniformization. Unitary group. Weil group. Zariski topology. Zink, Thomas, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691027814 https://doi.org/10.1515/9781400882601 https://www.degruyter.com/isbn/9781400882601 Cover https://www.degruyter.com/document/cover/isbn/9781400882601/original |
language |
English |
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eBook |
author |
Rapoport, Michael, Rapoport, Michael, Zink, Thomas, |
spellingShingle |
Rapoport, Michael, Rapoport, Michael, Zink, Thomas, Period Spaces for p-divisible Groups (AM-141), Volume 141 / Annals of Mathematics Studies ; Frontmatter -- Contents -- Introduction -- 1. p-adic symmetric domains -- 2. Quasi-isogenies of p-divisible groups -- 3. Moduli spaces of p-divisible groups -- Appendix: Normal forms of lattice chains -- 4. The formal Hecke correspondences -- 5. The period morphism and the rigid-analytic coverings -- 6. The p-adic uniformization of Shimura varieties -- Bibliography -- Index |
author_facet |
Rapoport, Michael, Rapoport, Michael, Zink, Thomas, Zink, Thomas, Zink, Thomas, |
author_variant |
m r mr m r mr t z tz |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Zink, Thomas, Zink, Thomas, |
author2_variant |
t z tz |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Rapoport, Michael, |
title |
Period Spaces for p-divisible Groups (AM-141), Volume 141 / |
title_full |
Period Spaces for p-divisible Groups (AM-141), Volume 141 / Michael Rapoport, Thomas Zink. |
title_fullStr |
Period Spaces for p-divisible Groups (AM-141), Volume 141 / Michael Rapoport, Thomas Zink. |
title_full_unstemmed |
Period Spaces for p-divisible Groups (AM-141), Volume 141 / Michael Rapoport, Thomas Zink. |
title_auth |
Period Spaces for p-divisible Groups (AM-141), Volume 141 / |
title_alt |
Frontmatter -- Contents -- Introduction -- 1. p-adic symmetric domains -- 2. Quasi-isogenies of p-divisible groups -- 3. Moduli spaces of p-divisible groups -- Appendix: Normal forms of lattice chains -- 4. The formal Hecke correspondences -- 5. The period morphism and the rigid-analytic coverings -- 6. The p-adic uniformization of Shimura varieties -- Bibliography -- Index |
title_new |
Period Spaces for p-divisible Groups (AM-141), Volume 141 / |
title_sort |
period spaces for p-divisible groups (am-141), volume 141 / |
series |
Annals of Mathematics Studies ; |
series2 |
Annals of Mathematics Studies ; |
publisher |
Princeton University Press, |
publishDate |
2016 |
physical |
1 online resource (353 p.) Issued also in print. |
contents |
Frontmatter -- Contents -- Introduction -- 1. p-adic symmetric domains -- 2. Quasi-isogenies of p-divisible groups -- 3. Moduli spaces of p-divisible groups -- Appendix: Normal forms of lattice chains -- 4. The formal Hecke correspondences -- 5. The period morphism and the rigid-analytic coverings -- 6. The p-adic uniformization of Shimura varieties -- Bibliography -- Index |
isbn |
9781400882601 9783110494914 9783110442496 9780691027814 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA564 |
callnumber-sort |
QA 3564 |
url |
https://doi.org/10.1515/9781400882601 https://www.degruyter.com/isbn/9781400882601 https://www.degruyter.com/document/cover/isbn/9781400882601/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
512 - Algebra |
dewey-full |
512.2 |
dewey-sort |
3512.2 |
dewey-raw |
512.2 |
dewey-search |
512.2 |
doi_str_mv |
10.1515/9781400882601 |
oclc_num |
954123697 |
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AT rapoportmichael periodspacesforpdivisiblegroupsam141volume141 AT zinkthomas periodspacesforpdivisiblegroupsam141volume141 |
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Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
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Period Spaces for p-divisible Groups (AM-141), Volume 141 / |
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Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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