Curves And Their Jacobians
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Curves And Their Jacobians
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Author : David Mumford
language : en
Publisher: Ann Arbor : University of Michigan Press, c1975, 1976 printing.
Release Date : 1975
Curves And Their Jacobians written by David Mumford and has been published by Ann Arbor : University of Michigan Press, c1975, 1976 printing. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.
Rigid Geometry Of Curves And Their Jacobians
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Author : Werner Lütkebohmert
language : en
Publisher: Springer
Release Date : 2016-01-26
Rigid Geometry Of Curves And Their Jacobians written by Werner Lütkebohmert and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-26 with Mathematics categories.
This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. In the case of curves with split rational reduction there is a complete analogue to the fascinating theory of Riemann surfaces. In the case of proper smooth group varieties the uniformization and the construction of abelian varieties are treated in detail. Rigid geometry was established by John Tate and was enriched by a formal algebraic approach launched by Michel Raynaud. It has proved as a means to illustrate the geometric ideas behind the abstract methods of formal algebraic geometry as used by Mumford and Faltings. This book should be of great use to students wishing to enter this field, as well as those already working in it.
Algebraic Geometry Iii
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Author : A.N. Parshin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Algebraic Geometry Iii written by A.N. Parshin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
This two-part EMS volume provides a succinct summary of complex algebraic geometry, coupled with a lucid introduction to the recent work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties. An excellent companion to the older classics on the subject.
Lectures On Algebraic Geometry Ii
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Author : Günter Harder
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-21
Lectures On Algebraic Geometry Ii written by Günter Harder and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-21 with Mathematics categories.
This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved. Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.
Algebraic Geometry Iii
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Author : A.N. Parshin
language : en
Publisher: Springer
Release Date : 2014-03-12
Algebraic Geometry Iii written by A.N. Parshin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-12 with Mathematics categories.
This two-part EMS volume provides a succinct summary of complex algebraic geometry, coupled with a lucid introduction to the recent work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties. An excellent companion to the older classics on the subject.
Algebraic Geometry Iii
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Author : A.N. Parshin
language : en
Publisher: Springer Verlag
Release Date : 1998
Algebraic Geometry Iii written by A.N. Parshin and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
This two-part EMS volume provides a succinct summary of complex algebraic geometry, coupled with a lucid introduction to the recent work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties. An excellent companion to the older classics on the subject.
The Red Book Of Varieties And Schemes
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Author : David Mumford
language : en
Publisher: Springer
Release Date : 2004-02-24
The Red Book Of Varieties And Schemes written by David Mumford and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-24 with Mathematics categories.
Mumford's famous "Red Book" gives a simple, readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduates or mathematicians in other fields wishing to quickly learn aboutalgebraic geometry. This new edition includes an appendix that gives an overview of the theory of curves, their moduli spaces and their Jacobians -- one of the most exciting fields within algebraic geometry.
The Red Book Of Varieties And Schemes
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Author : David Mumford
language : en
Publisher: Springer
Release Date : 2014-03-12
The Red Book Of Varieties And Schemes written by David Mumford and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-12 with Mathematics categories.
Mumford's famous "Red Book" gives a simple, readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduates or mathematicians in other fields wishing to quickly learn aboutalgebraic geometry. This new edition includes an appendix that gives an overview of the theory of curves, their moduli spaces and their Jacobians -- one of the most exciting fields within algebraic geometry.
Explicit Arithmetic Of Jacobians Of Generalized Legendre Curves Over Global Function Fields
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Author : Lisa Berger
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-09-28
Explicit Arithmetic Of Jacobians Of Generalized Legendre Curves Over Global Function Fields written by Lisa Berger and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-28 with Mathematics categories.
The authors study the Jacobian $J$ of the smooth projective curve $C$ of genus $r-1$ with affine model $y^r = x^r-1(x + 1)(x + t)$ over the function field $mathbb F_p(t)$, when $p$ is prime and $rge 2$ is an integer prime to $p$. When $q$ is a power of $p$ and $d$ is a positive integer, the authors compute the $L$-function of $J$ over $mathbb F_q(t^1/d)$ and show that the Birch and Swinnerton-Dyer conjecture holds for $J$ over $mathbb F_q(t^1/d)$.
Degenerating Curves And Their Jacobians
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Author : Dino Jacques Lorenzini
language : en
Publisher:
Release Date : 1988
Degenerating Curves And Their Jacobians written by Dino Jacques Lorenzini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.