1 “...Exploring several of the evolutionary branches of the mathematical notion of genus, this book...”

2

3 Table of Contents: “...) -- Differentials -- The canonical system on a variety V -- Trace of a differential -- The arithemetic genus...”

4 Table of Contents: “... or genus -- Affine geometry or filtered domains...”

5 Table of Contents: “... Higher Genus. - A Virtual Proof. - Intermission. - A.Weil. - Appendix. - References. - Index...”

6 Table of Contents: “.... The Genus of an Algebraic Curve -- 5. Miscellany. Part II -- 6. Constructive Algebra -- 7. The Algorithmic...”

7 “...'s work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic forms. The book...”

8 Table of Contents: “... -- The genus of an H — space -- Bockstein spectral sequences, modified bockstein spectral sequences, and hopf...”

9 Table of Contents: “... decomposition of lie groups -- Self-maps of classifying spaces -- Genus and cancellation for h-spaces -- p...”

10 Table of Contents: “... of free central extensions of some groups -- Groups of genus zero and certain rational functions...”

11 Table of Contents: “... genus 2 curve -- Graded rings and special K3 surfaces -- Constructing the split octonions -- Support...”

12 Table of Contents: “... -- Generalizations of product isomorphisms -- On the genus of products of graphs...”

13 Table of Contents: “... -- 8.Book Reviews: Riemann Surfaces of Infinite Genus by J. Feldman, H. Knörrer, and E. Trubowitz -- 9...”

14 “... surfaces and from the fact that the fundamental group of a surface of genus greater than one is represented...”

15 Table of Contents: “...4.4 A study of Ho spaces4.5 Mod P1 H-spaces; 4.6 The genus of an H-space; 4.7 Mixing homotopy types...”

16 Table of Contents: “... of Planar Graphs -- VIIC The Imbedding Index -- VIID The Euler Characteristic and Genus of a Graph -- VIIE...”