This book contains an exposition of the theory of meromorphic
functions and linear series on a compact Riemann surface. Thus the
main subject matter consists of holomorphic maps from a compact
Riemann surface to complex projective space. Our emphasis is on
families of meromorphic functions and holomorphic curves. Our
approach is more geometric than algebraic along the lines of
[Griffiths-Harrisl]. AIso, we have relied on the books [Namba] and
[Arbarello-Cornalba-Griffiths-Harris] to agreat exten- nearly every
result in Chapters 1 through 4 can be found in the union of these
two books. Our primary motivation was to understand the totality of
meromorphic functions on an algebraic curve. Though this is a
classical subject and much is known about meromorphic functions, we
felt that an accessible exposition was lacking in the current
literature. Thus our book can be thought of as a modest effort to
expose parts of the known theory of meromorphic functions and
holomorphic curves with a geometric bent. We have tried to make the
book self-contained and concise which meant that several major
proofs not essential to further development of the theory had to be
omitted. The book is targeted at the non-expert who wishes to leam
enough about meromorphic functions and holomorphic curves so that
helshe will be able to apply the results in hislher own research.
For example, a differential geometer working in minimal surface
theory may want to tind out more about the distribution pattern of
poles and zeros of a meromorphic function.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
