Picture 1 of 1
Rigid Analytic Geometry and Its Applications by Jean Fresnel (English) Paperback
Condition:
3 available
Postage:
Located in: Fairfield, Ohio, United States
Delivery:
Estimated between Tue, 9 Jul and Fri, 19 Jul to 43230
Returns:
Payments:
Shop with confidence
Seller information
- 98.3% positive Feedback
Registered as a business seller
Seller assumes all responsibility for this listing.
eBay item number:395156984369
Item specifics
- Condition
- ISBN-13
- 9781461265856
- Book Title
- Rigid Analytic Geometry and Its Applications
- ISBN
- 9781461265856
- Subject Area
- Mathematics
- Publication Name
- Rigid Analytic Geometry and Its Applications
- Publisher
- Birkhäuser Boston
- Item Length
- 9.3 in
- Subject
- Geometry / General, Geometry / Algebraic, Mathematical Analysis
- Publication Year
- 2012
- Series
- Progress in Mathematics Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Weight
- 17.1 Oz
- Item Width
- 6.1 in
- Number of Pages
- Xi, 299 Pages
About this product
Product Information
Rigid (analytic) spaces were invented to describe degenerations, reductions, and moduli of algebraic curves and abelian varieties. This work, a revised and greatly expanded new English edition of an earlier French text by the same authors, presents important new developments and applications of the theory of rigid analytic spaces to abelian varieties, "points of rigid spaces," étale cohomology, Drinfeld modular curves, and Monsky-Washnitzer cohomology. The exposition is concise, self-contained, rich in examples and exercises, and will serve as an excellent graduate-level text for the classroom or for self-study.
Product Identifiers
Publisher
Birkhäuser Boston
ISBN-10
1461265851
ISBN-13
9781461265856
eBay Product ID (ePID)
202472902
Product Key Features
Number of Pages
Xi, 299 Pages
Language
English
Publication Name
Rigid Analytic Geometry and Its Applications
Publication Year
2012
Subject
Geometry / General, Geometry / Algebraic, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics
Series
Progress in Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Weight
17.1 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
Dewey Edition
21
Reviews
"... beginners will appreciate the numerous exercises and the gentle progression of the first four chapters, from the one-variable calculus on the projective line, through the algebraic study of general affinoid algebras, to the definition of general rigid varieties and their analytic reductions. And each of the last five chapters can be used as the basis for a student workshop at the advanced graduate level." --Mathematical Reviews "When I was a graduate student, we used the original (French) version of this book in an informal seminar on rigid geometry. It was quite helpful then, and it is much better now. The authors have updated the material, added quite a bit on new applications and new results, and changed languages. Despite the competition it now has, this is still one of the best places in which to start learning this theory." --MAA Reviews "The book under review gives a very complete and careful introduction into the technical foundations of the theory and also treats in detail the rigid analytic part of some of the important applications which the theory has found in recent years in number theory and geometry. The exposition is self contained, the authors only assume some familarity with basic algebraic geometry. . . Many of the subjects treated in this book are not easily available from the literature. The book which contains an extensive bibliography is a very valuable source for everyone wishing to learn about rigid geometry or its applications." ---Monatshefte für Mathematik, "... beginners will appreciate the numerous exercises and the gentle progression of the first four chapters, from the one-variable calculus on the projective line, through the algebraic study of general affinoid algebras, to the definition of general rigid varieties and their analytic reductions. And each of the last five chapters can be used as the basis for a student workshop at the advanced graduate level." --Mathematical Reviews "When I was a graduate student, we used the original (French) version of this book in an informal seminar on rigid geometry. It was quite helpful then, and it is much better now. The authors have updated the material, added quite a bit on new applications and new results, and changed languages. Despite the competition it now has, this is still one of the best places in which to start learning this theory." --MAA Reviews "The book under review gives a very complete and careful introduction into the technical foundations of the theory and also treats in detail the rigid analytic part of some of the important applications which the theory has found in recent years in number theory and geometry. The exposition is self contained, the authors only assume some familarity with basic algebraic geometry. . . Many of the subjects treated in this book are not easily available from the literature. The book which contains an extensive bibliography is a very valuable source for everyone wishing to learn about rigid geometry or its applications." ---Monatshefte fr Mathematik
Series Volume Number
218
Number of Volumes
1 Vol.
Illustrated
Yes
Dewey Decimal
516.3
Lc Classification Number
Qa440-699
Table of Content
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.
Copyright Date
2004
Item description from the seller
Business seller information
Premier Books LLC
David Taylor
26C Trolley Sq
19806-3356 Wilmington, DE
United States
I certify that all my selling activities will comply with all EU laws and regulations.
Seller assumes all responsibility for this listing.
eBay item number:395156984369
Postage and packaging
Item location:
Fairfield, Ohio, United States
Posts to:
Afghanistan, Albania, Algeria, Andorra, Angola, Anguilla, Antigua and Barbuda, Argentina, Armenia, Aruba, Australia, Austria, Azerbaijan Republic, Bahamas, Bahrain, Bangladesh, Belgium, Belize, Benin, Bermuda, Bhutan, Bolivia, Bosnia and Herzegovina, Botswana, Brazil, British Virgin Islands, Brunei Darussalam, Bulgaria, Burkina Faso, Burundi, Cambodia, Cameroon, Canada, Cape Verde Islands, Cayman Islands, Central African Republic, Chad, Chile, China, Colombia, Comoros, Cook Islands, Costa Rica, Cyprus, Czech Republic, Côte d'Ivoire (Ivory Coast), Democratic Republic of the Congo, Denmark, Djibouti, Dominica, Dominican Republic, Ecuador, Egypt, El Salvador, Equatorial Guinea, Eritrea, Estonia, Ethiopia, Falkland Islands (Islas Malvinas), Fiji, Finland, France, Gabon Republic, Gambia, Georgia, Germany, Ghana, Gibraltar, Greece, Greenland, Grenada, Guatemala, Guernsey, Guinea, Guinea-Bissau, Guyana, Haiti, Honduras, Hong Kong, Hungary, Iceland, India, Indonesia, Iraq, Ireland, Israel, Italy, Jamaica, Japan, Jersey, Jordan, Kazakhstan, Kenya, Kiribati, Kuwait, Kyrgyzstan, Laos, Latvia, Lebanon, Lesotho, Liberia, Liechtenstein, Lithuania, Luxembourg, Macau, Macedonia, Madagascar, Malawi, Malaysia, Maldives, Mali, Malta, Mauritania, Mauritius, Mayotte, Mexico, Moldova, Monaco, Mongolia, Montenegro, Montserrat, Morocco, Mozambique, Namibia, Nauru, Nepal, Netherlands, Netherlands Antilles, New Zealand, Nicaragua, Niger, Nigeria, Niue, Norway, Oman, Pakistan, Paraguay, Peru, Philippines, Poland, Portugal, Qatar, Republic of Croatia, Republic of the Congo, Romania, Rwanda, Saint Helena, Saint Kitts-Nevis, Saint Lucia, Saint Pierre and Miquelon, Saint Vincent and the Grenadines, San Marino, Saudi Arabia, Senegal, Serbia, Seychelles, Sierra Leone, Singapore, Slovakia, Slovenia, Solomon Islands, Somalia, South Africa, South Korea, Spain, Sri Lanka, Suriname, Svalbard and Jan Mayen, Swaziland, Sweden, Switzerland, Taiwan, Tajikistan, Tanzania, Thailand, Togo, Tonga, Trinidad and Tobago, Tunisia, Turkey, Turkmenistan, Turks and Caicos Islands, Tuvalu, Uganda, United Arab Emirates, United Kingdom, Uruguay, Uzbekistan, Vanuatu, Vatican City State, Vietnam, Wallis and Futuna, Western Sahara, Worldwide, Yemen, Zambia, Zimbabwe
Excludes:
APO/FPO, Alaska/Hawaii, Barbados, Belarus, French Guiana, French Polynesia, Guadeloupe, Libya, Martinique, New Caledonia, Panama, Papua New Guinea, Reunion, Russian Federation, US Protectorates, Ukraine, Venezuela, Western Samoa
Postage and packaging | Each additional item | To | Service | Delivery*See Delivery notes |
---|---|---|---|---|
Free postage | Free | United States | Economy Shipping | Estimated between Tue, 9 Jul and Fri, 19 Jul to 43230 |
Dispatch time |
---|
Will usually dispatch within 10 working days of receiving cleared payment. |
Taxes |
---|
Taxes may be applicable at checkout. Learn moreLearn more about paying tax on eBay purchases. |
Sales tax for an item #395156984369
Sales tax for an item #395156984369
Seller collects sales tax/VAT for items dispatched to the following states:
County | VAT rate |
---|
Returns policy
After receiving the item, cancel the purchase within | Refund will be given as | Return postage |
---|---|---|
30 days | Money back | Buyer pays for return postage |
The buyer is responsible for return postage costs.
Return policy details |
---|
Returns accepted |
Most Buy It Now purchases are protected by the Consumer Rights Directive, which allow you to cancel the purchase within seven working days from the day you receive the item. Find out more about your rights as a buyer and exceptions.
Payment details
Payment methods
Popular categories from this shop
Registered as a business seller
Seller Feedback (1,025,458)
m***e (1886)- Feedback left by buyer.
Past month
Verified purchase
The book arrived quickly and in wonderful condition. Thank you.
h***c (110)- Feedback left by buyer.
Past month
Verified purchase
Arrived quickly and packaged very well
s***j (1)- Feedback left by buyer.
Past month
Verified purchase
Thank you very much for arriving at my address in Indonesia with good quality diecast.
More to explore:
- Geometry Paperback Adult Learning & University Books,
- Geometry Adult Learning & University Books in English,
- Paperbacks Books in English,
- Paperback Fiction Books in English,
- Geometry Adult Learning & University Books,
- Paperback Fiction & Non-Fiction Books in English,
- Paperback Antiquarian & Collectable Books in English,
- Jean Plaidy Fiction Paperback Fiction & Books,
- France Paperback Maps & Atlases in English,
- Paperback Original Antiquarian & Collectable Books in English