|
|
|
|
| LEADER |
00000nam a22000005i 4500 |
| 001 |
b3196211 |
| 003 |
MWH |
| 005 |
20191026211721.0 |
| 007 |
cr nn 008mamaa |
| 008 |
121227s2004 xxu| s |||| 0|eng d |
| 020 |
|
|
|a 9781461200413
|
| 024 |
7 |
|
|a 10.1007/978-1-4612-0041-3
|2 doi
|
| 035 |
|
|
|a (DE-He213)978-1-4612-0041-3
|
| 050 |
|
4 |
|a E-Book
|
| 072 |
|
7 |
|a PBM
|2 bicssc
|
| 072 |
|
7 |
|a MAT012000
|2 bisacsh
|
| 072 |
|
7 |
|a PBM
|2 thema
|
| 100 |
1 |
|
|a Fresnel, Jean.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
|
| 245 |
1 |
0 |
|a Rigid Analytic Geometry and Its Applications
|h [electronic resource] /
|c by Jean Fresnel, Marius van der Put.
|
| 250 |
|
|
|a 1st ed. 2004.
|
| 264 |
|
1 |
|a Boston, MA :
|b Birkhäuser Boston :
|b Imprint: Birkhäuser,
|c 2004.
|
| 300 |
|
|
|a XI, 299 p.
|b online resource.
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a computer
|b c
|2 rdamedia
|
| 338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|
| 347 |
|
|
|a text file
|b PDF
|2 rda
|
| 490 |
1 |
|
|a Progress in Mathematics,
|x 0743-1643 ;
|v 218
|
| 490 |
1 |
|
|a Springer eBook Collection
|
| 505 |
0 |
|
|a 1 Valued Fields and Normed Spaces -- 1.1 Valued fields -- 1.2 Banach spaces and Banach algebras -- 2 The Projective Line -- 2.1 Some definitions -- 2.2 Holomorphic functions on an affinoid subset -- 2.3 The residue theorem -- 2.4 The Grothendieck topology on P -- 2.5 Some sheaves on P -- 2.6 Analytic subspaces of P -- 2.7 Cohomology on an analytic subspace of P -- 3 Affinoid Algebras -- 3.1 Definition of an affinoid algebra -- 3.2 Consequences of the Weierstrass theorem -- 3.3 Affinoid spaces, Examples -- 3.4 Properties of the spectral (semi-)norm -- 3.5 Integral extensions of affinoid algebras -- 3.6 The differential module ?A/kf -- 3.7 Products of affinoid spaces, Picard groups -- 4 Rigid Spaces -- 4.1 Rational subsets -- 4.2 The weak G-topology and Tate’s theorem -- 4.3 General rigid spaces -- 4.4 Sheaves on a rigid space -- 4.5 Coherent analytic sheaves -- 4.6 The sheaf of meromorphic functions -- 4.7 Rigid vector bundles -- 4.8 Analytic reductions and formal schemes -- 4.9 Analytic reductions of a subspace of Pk1, an -- 4.10 Separated and proper rigid spaces -- 5 Curves and Their Reductions -- 5.1 The Tate curve -- 5.2 Néron models for abelian varieties -- 5.3 The Néron model of an elliptic curve -- 5.4 Mumford curves and Schottky groups -- 5.5 Stable reduction of curves -- 5.6 A rigid proof of stable reduction for curves -- 5.7 The universal analytic covering of a curve -- 6 Abelian Varieties -- 6.1 The complex case -- 6.2 The non-archimedean case -- 6.3 The analytification of an algebraic torus -- 6.4 Lattices and analytic tori -- 6.5 Meromorphic functions on an analytic torus -- 6.6 Analytic tori and abelian varieties -- 6.7 Néron models and uniformization -- 7 Points of Rigid Spaces, Rigid Cohomology -- 7.1 Points and sheaves on an affinoid space -- 7.2 Explicit examples in dimension 1 -- 7.3 $$ mathcal{P} $$(X) and the reductions of X -- 7.4 Base change for overconvergent sheaves -- 7.5 Overconvergent affinoid spaces -- 7.6 Monsky-Washnitzer cohomology -- 7.7 Rigid cohomology -- 8 Etale Cohomology of Rigid Spaces -- 8.1 Etale morphisms -- 8.2 The étale site -- 8.3 Etale points, overconvergent étale sheaves -- 8.4 Etale cohomology in dimension 1 -- 8.5 Higher dimensional rigid spaces -- 9 Covers of Algebraic Curves -- 9.1 Introducing the problem -- 9.2 I. Serre’s result -- 9.3 II. Rigid construction of coverings -- 9.4 III. Reductions of curves modulo p -- References -- List of Notation.
|
| 590 |
|
|
|a Loaded electronically.
|
| 590 |
|
|
|a Electronic access restricted to members of the Holy Cross Community.
|
| 650 |
|
0 |
|a Geometry.
|
| 650 |
|
0 |
|a Algebraic geometry.
|
| 650 |
|
0 |
|a Functions of complex variables.
|
| 650 |
|
0 |
|a Number theory.
|
| 690 |
|
|
|a Electronic resources (E-books)
|
| 700 |
1 |
|
|a van der Put, Marius.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
|
| 710 |
2 |
|
|a SpringerLink (Online service)
|
| 773 |
0 |
|
|t Springer eBooks
|
| 830 |
|
0 |
|a Progress in Mathematics,
|x 0743-1643 ;
|v 218
|
| 830 |
|
0 |
|a Springer eBook Collection.
|
| 856 |
4 |
0 |
|u https://holycross.idm.oclc.org/login?auth=cas&url=https://doi.org/10.1007/978-1-4612-0041-3
|3 Click to view e-book
|t 0
|
| 907 |
|
|
|a .b31962117
|b 04-18-22
|c 02-26-20
|
| 998 |
|
|
|a he
|b 02-26-20
|c m
|d @
|e -
|f eng
|g xxu
|h 0
|i 1
|
| 912 |
|
|
|a ZDB-2-SMA
|
| 912 |
|
|
|a ZDB-2-BAE
|
| 950 |
|
|
|a Mathematics and Statistics (Springer-11649)
|
| 902 |
|
|
|a springer purchased ebooks
|
| 903 |
|
|
|a SEB-COLL
|
| 945 |
|
|
|f - -
|g 1
|h 0
|j - -
|k - -
|l he
|o -
|p $0.00
|q -
|r -
|s b
|t 38
|u 0
|v 0
|w 0
|x 0
|y .i2109374x
|z 02-26-20
|
| 999 |
f |
f |
|i 13d8a6c7-19ba-55f8-8270-4f308cef8ae9
|s 999c5bb4-af3d-58d1-b1cc-156a37376d0c
|t 0
|
| 952 |
f |
f |
|p Online
|a College of the Holy Cross
|b Main Campus
|c E-Resources
|d Online
|t 0
|e E-Book
|h Library of Congress classification
|i Elec File
|