Complex projective manifoldsEdit
- pa = hn,0 − hn − 1, 0 + ... + (−1)n − 1h1, 0.
When n = 1 we have[clarification needed] χ = 1 − g where g is the usual (topological) meaning of genus of a surface, so the definitions are compatible.
This definition therefore can be applied to some other locally ringed spaces.
- Hirzebruch, Friedrich (1995) . Topological methods in algebraic geometry. Classics in Mathematics. Translation from the German and appendix one by R. L. E. Schwarzenberger. Appendix two by A. Borel (Reprint of the 2nd, corr. print. of the 3rd ed.). Berlin: Springer-Verlag. ISBN 3-540-58663-6. Zbl 0843.14009.