Compact Riemann Surfaces
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The lecture notes forming a course given by the author at the Eidgenossische Technische Hochschule, Zurich, from November 1984 to February 1985. Presents the basic theorems about the Jacobian from Riemann's own point of view. Annotation copyrighted by Book News, Inc., Portland, OR
Copyright year: 1992
Publisher: Birkhauser Boston
Publication date: 9/1/1992
Size: 7.00" wide x 9.75" long x 0.50" tall
|The sheaf of germs of holomorphic functions|
|The Riemann surface of an algebraic function|
|Vector bundles, line bundles and divisors|
|The Dolbeault isomorphism|
|Weyl's lemma and the Serre duality theorem|
|The Riemann-Roch theorem and some applications|
|Further properties of compact Riemann surfaces|
|Hyperelliptic curves and the canonical map|
|Some geometry of curves in projective space|
|The Jacobian and Abel's theorem|
|The Riemann theta function|
|The theta divisor|
|Riemann's theorem on the singularities of [Theta]|