© 2007

An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces


Part of the Theoretical and Mathematical Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages I-5
  2. Martin Schlichenmaier
    Pages 7-15
  3. Martin Schlichenmaier
    Pages 17-30
  4. Martin Schlichenmaier
    Pages 33-41
  5. Martin Schlichenmaier
    Pages 43-52
  6. Martin Schlichenmaier
    Pages 53-60
  7. Martin Schlichenmaier
    Pages 61-70
  8. Martin Schlichenmaier
    Pages 71-86
  9. Martin Schlichenmaier
    Pages 87-101
  10. Martin Schlichenmaier
    Pages 103-118
  11. Martin Schlichenmaier
    Pages 119-132
  12. Martin Schlichenmaier
    Pages 133-154
  13. Martin Schlichenmaier
    Pages 155-168
  14. Martin Schlichenmaier
    Pages 169-182
  15. Martin Schlichenmaier
    Pages 183-202
  16. Back Matter
    Pages 203-220

About this book


Algebraic Geometry Applications of Geometry in String Theory Hodge decomposition Mirror Symmetry Moduli Spaces Riemann Surfaces Theoretical physics cohomology homology manifold mathematical physics vector bundle

Authors and affiliations

  1. 1.Institute of MathematicsUniversity of Luxembourg1511 Luxembourg City

About the authors

Martin Schlichenmaier is full professor for mathematics at the University of  Luxemburg. He has held several teaching and research positions in the mathematics department of the University of Mannheim.

Bibliographic information

Industry Sectors
IT & Software


From the reviews of the second edition:

"As the title suggests, this book is an introduction to Riemann surfaces, with the target audience being students of string theory. … an excellent book to use to become familiar with these concepts, and as a result the book is able to touch on a wide variety of concepts which are not broached by more traditional treatments of the subject. … I would certainly recommend the book for anyone who wants an enjoyable conceptual introduction to what can be a highly technical subject." (Mark Gross, Mathematical Reviews, Issue 2008 k)

"This book is an introduction to the language of modern algebraic geometry, designed mainly for Physics students who are interested in string theory. … Overall the book is very readable and it fulfills its goal remarkably well … that are useful to physicists interested in string theory, with all the necessary references for further reading. This book will be an excellent addition to the bookshelf of any physics student or researcher who wants to learn about the mathematical aspects of string theory." (Valentino Tosatti, Zentrablatt MATH, Vol. 1153, 2009)