Master of Science
C. C. Hsiung
The purpose of this thesis is to present a proof of basic theorem by using the well know Hodge's harmonic decomposition theorem. One of the basic theorems on compact Riemann surface is the Riemann-Roch theorem, which has received important developments through the recent works of Hirzebruch, Grothendieck, Atiyah and Singer.
Mugridge, Larry R., "The Riemann-Roch theorem for compact Riemann surfaces" (1965). Theses and Dissertations. 3318.