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Tata Lectures on Theta II

Overview of attention for book
Tata Lectures on Theta II
Birkhäuser, Boston, MA

Table of Contents

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    Book Overview
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    Chapter 1 Review of background in algebraic geometry
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    Chapter 2 Divisors on hyperelliptic curves
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    Chapter 3 Algebraic construction of the Jacobian of a hyperelliptic curve
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    Chapter 4 The translation-invariant vector fields
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    Chapter 5 Neumann’s dynamical system
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    Chapter 6 Tying together the analytic Jacobian and algebraic Jacobian
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    Chapter 7 Theta characteristics and the fundamental Vanishing Property
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    Chapter 8 Frobenius’ theta formula
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    Chapter 9 Thomae’s formula and moduli of hyperelliptic curves
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    Chapter 10 Characterization of hyperelliptic period matrices
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    Chapter 11 The hyperelliptic p-function
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    Chapter 12 The Korteweg-deVries dynamical system
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    Chapter 13 The Prime Form E(x,y).
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    Chapter 14 Fay’s Trisecant Identity
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    Chapter 15 Corollaries of the identity
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    Chapter 16 Applications to solutions of differential equations
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    Chapter 17 The Generalized Jacobian of a Singular Curve and its Theta Function
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    Chapter 18 Resolution of algebraic equations by theta constants
Overall attention for this book and its chapters
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Mentioned by

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6 X users
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5 Wikipedia pages
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1 YouTube creator

Citations

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186 Dimensions

Readers on

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59 Mendeley
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Title
Tata Lectures on Theta II
Published by
Birkhäuser, Boston, MA, April 2012
DOI 10.1007/978-0-8176-4578-6
ISBNs
978-0-8176-4569-4, 978-0-8176-4578-6
Authors

David Mumford, Mumford, David

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X Demographics

X Demographics

The data shown below were collected from the profiles of 6 X users who shared this research output. Click here to find out more about how the information was compiled.
As of 1 July 2024, you may notice a temporary increase in the numbers of X profiles with Unknown location. Click here to learn more.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 59 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Iran, Islamic Republic of 1 2%
Japan 1 2%
Germany 1 2%
Unknown 56 95%

Demographic breakdown

Readers by professional status Count As %
Researcher 11 19%
Student > Ph. D. Student 10 17%
Professor 8 14%
Professor > Associate Professor 8 14%
Student > Doctoral Student 2 3%
Other 8 14%
Unknown 12 20%
Readers by discipline Count As %
Mathematics 25 42%
Physics and Astronomy 17 29%
Biochemistry, Genetics and Molecular Biology 1 2%
Agricultural and Biological Sciences 1 2%
Materials Science 1 2%
Other 0 0%
Unknown 14 24%

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