Abelian Varieties by J.S. Milne

MathSchoolinternational.com contain houndreds of Free Math e-Books. Which cover almost all topics of mathematics. To see an extisive list of Algebraic Geometry eBooks . We hope mathematician or person who’s interested in mathematics like these books.

Abelian Varieties written by J.S. Milne . This is an other book of mathematics cover the following topics.

Introduction

Abelian Varieties
Geometry, Definitions; Basic Properties, Abelian Varieties over the Complex Numbers, Rational Maps Into Abelian Varieties, Review of cohomology, The Theorem of the Cube, Abelian Varieties are Projective, Isogenies, The Dual Abelian Variety, The Dual Exact Sequence, Endomorphisms, Polarizations and Invertible Sheaves, The Etale Cohomology of an Abelian Variety, Weil Pairings, The Rosati Involution, Geometric Finiteness Theorems, Families of Abelian Varieties, Neron models; Semistable Reduction, Abel and Jacobi

Abelian Varieties: Arithmetic
The Zeta Function of an Abelian Variety, Abelian Varieties over Finite Fields, Abelian varieties with complex multiplication

Jacobian Varieties
Overview and definitions, The canonical maps from C to its Jacobian variety, The symmetric powers of a curve, The construction of the Jacobian variety, The canonical maps from the symmetric powers of C to its Jacobian variety, The Jacobian variety as Albanese variety; autoduality, Weil’s construction of the Jacobian variety, Generalizations, Obtaining coverings of a curve from its Jacobian, Abelian varieties are quotients of Jacobian varieties, The zeta function of a curve, Torelli’s theorem: statement and applications, Torelli’s theorem: the proof, Bibliographic notes

Finiteness Theorems
Introduction, The Tate Conjecture; Semisimplicity, Finiteness I implies Finiteness II, Finiteness II implies the Shafarevich Conjecture, Shafarevich’s Conjecture implies Mordell’s Conjecture, The Faltings Height, The Modular Height, The Completion of the Proof of Finiteness I.

Bibliography

Index

Download free PDF Abelian Varieties by J.S. Milne
Download Similar Books

Math Books ALGEBRAIC GEOMETRY

Math Free eBooks

• Math Grade 4
• Math Grade 5


• Basics Algebra
• Abstract Algebra
• Algebraic Geometry
• Complex Analysis
• Calculus
• Differential Euqation
• Functional Analysis
• Numerical Analysis

SHORTCUT TRICKS (Division)

Divisible by 2 Shortcut trick

Divisible by 3 Shortcut trick

Divisible by 4 Shortcut trick

Divisible by 5 Shortcut trick

Divisible by 6 Shortcut trick

Divisible by 7 Shortcut trick

Divisible by 8 Shortcut trick

Divisible by 9 Shortcut trick

Divisible by 10 Shortcut trick

SHORTCUT TRICKS (Prime Number)

Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?

Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?

Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?

Worksheets (Solved)

Matrix Logarithm

Trigonometric Identities

Application of Trigonometry

Integration