عنوان
پدید آورنده
موضوع
رده
QA564 .S964 2007eb
QA564
.
S964
2007eb
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
1281934275
(Number (ISBN
6611934278
(Number (ISBN
9781281934277
(Number (ISBN
9786611934279
(Number (ISBN
9789812793430
(Number (ISBN
9812793437
Erroneous ISBN
9789812793423
Erroneous ISBN
9812793429
NATIONAL BIBLIOGRAPHY NUMBER
Number
b736866
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Algebraic geometry and its applications :
General Material Designation
[Book]
Other Title Information
dedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA Conference, Papeete, France, 7-11 May 2007 /
First Statement of Responsibility
editors, Jean Chaumine, James Hirschfeld, Robert Rolland.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Singapore, SG :
Name of Publisher, Distributor, etc.
World Scientific,
Date of Publication, Distribution, etc.
©2008.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xv, 513 pages) :
Other Physical Details
illustrations.
SERIES
Series Title
Series on number theory and its applications,
Volume Designation
v. 5
ISSN of Series
1793-3161 ;
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
""CONTENTS""; ""To Gilles Lachaud on the occasion of his 60th birthday R. Rolland, M. Tsfasman""; ""Preface J.-M. Goursaud""; ""Organizing Committees""; ""Fast addition on non-hyperelliptic genus 3 curves S. Flon, R. Oyono, C. Ritzenthaler""; ""Introduction""; ""1. Geometric description of the algorithm""; ""2. Rationality of the points on a canonical divisor""; ""2.1. Structure of the canonical divisor""; ""2.2. The general and tangent case""; ""2.3. The flex case""; ""2.4. The hyperflex case""; ""3. Algebraic description""; ""3.1. Mumford representation and typical divisors""
Text of Note
""2.2. Discriminant of a ternary form""""2.3. Product of elliptic curves""; ""2.4. The theory of Howe, Leprevost and Poonen revisited""; ""2.5. Relation with Serreâ€?s assertion""; ""3. Complex abelian varieties""; ""3.1. The symplectic group""; ""3.2. Abelian varieties""; ""3.3. Isotropy and quotients""; ""3.4. Theta functions""; ""3.5. The modular function Ï?""; ""4. Comparison of analytic and algebraic discriminants""; ""4.1. Expression of the algebraic discriminant""; ""4.2. The subgroup W""; ""4.3. Expression of Ï? ( ′) as a discriminant""; ""Appendix A.""; ""References""
Text of Note
""3.1. Canonical lifting conditions""""3.2. Canonical lifts as CM constructions""; ""4. Constructive CM algorithms""; ""4.1. Canonical 2-adic AGM algorithm""; ""4.2. Canonical .-adic Richelot lifting algorithm""; ""5. Conclusion""; ""References""; ""Two letters to Jaap Top J.-P. Serre""; ""On some questions of Serre on abelian threefolds G. Lachaud, C. Ritzenthaler""; ""1. Introduction""; ""1.1. Geometric Torelli�s theorem""; ""1.2. Arithmetic Torelli�s theorem""; ""1.3. Serre�s questions""; ""2. Ciani Quartics""; ""2.1. Definition of Ciani quartics""
Text of Note
""3.2. The tangent case""""3.3. Flex case""; ""3.4. Comments on implementation""; ""4. Examples""; ""4.1. AGM-method""; ""4.2. 3-dimensional factors of Jnew(X0(N))""; ""5. Conclusion""; ""6. Appendix""; ""Acknowledgment""; ""References""; ""Computing endomorphism rings of Jacobians of genus 2 curves over finite fields D. Freeman, K.Lauter""; ""1. Introduction""; ""2. Computing zeta functions and the Frobenius element""; ""3. Constructing a generating set for OK""; ""4. Determining fields of definition""; ""4.1. The brute force method""; ""4.2. The Gaudry-Harley-Schost method""
Text of Note
""4.3. A probabilistic method""""5. Computing the action of Frobenius""; ""5.1. The brute force method""; ""5.2. A probabilistic method""; ""5.3. The Couveignes method""; ""6. Bounding the field of definition of the .d-torsion points""; ""7. Computing Igusa class polynomials""; ""8. Implementation notes""; ""9. Examples""; ""References""; ""Complex multiplication and canonical lifts D. Kohel""; ""1. Introduction""; ""2. Complex multiplication""; ""2.1. Complex multiplication in genus 1""; ""2.2. Complex multiplication in higher dimension""; ""3. Canonical lifts""
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SUMMARY OR ABSTRACT
Text of Note
This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. It contains many new, theoretical and applicable results, as well as surveys that were presented by the top specialists in these areas. New results include an answer to one of Serre's questions, posted in a letter to Top; cryptographic applications of the discrete logarithm problem related to elliptic curves and hyperelliptic curves; construction of function field towers; construction of new classes of Boolean cryptographic functions; and algorithmic applicati.
OTHER EDITION IN ANOTHER MEDIUM
Title
Algebraic geometry and its applications.
International Standard Book Number
9789812793423
TOPICAL NAME USED AS SUBJECT
Geometry, Algebraic, Congresses.
Geometry, Algebraic.
MATHEMATICS-- Geometry-- Algebraic.
(SUBJECT CATEGORY (Provisional
MAT-- 012010
DEWEY DECIMAL CLASSIFICATION
Number
516
.
35
22
Edition
22
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA564
Book number
.
S964
2007eb
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Chaumine, Jean.
Hirschfeld, J. W. P., (James William Peter),1940-
Lachaud, Gilles.
Rolland, Robert.
CORPORATE BODY NAME - PRIMARY RESPONSIBILITY
Symposium on Algebraic Geometry and its Applications(1st :2007 :, Papeete, Tahiti)
ORIGINATING SOURCE
Date of Transaction
20201203210242.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
