Advances in Moduli Theory (repost)
Advances in Moduli Theory (Translations of Mathematical Monographs) by Yuji Shimizu
English | November 14, 2001 | ISBN: 0821821563 | Pages: 300 | DJVU | 2,4 MB
English | November 14, 2001 | ISBN: 0821821563 | Pages: 300 | DJVU | 2,4 MB
The word "moduli" in the sense of this book first appeared in the epoch-making paper of B. Riemann, Theorie der Abel'schen Funktionen, published in 1857. Riemann defined a Riemann surface of an algebraic function field as a branched covering of a one-dimensional complex projective space, and found out that Riemann surfaces have parameters. This work gave birth to the theory of moduli.