Bibliography

Arun Ram
Department of Mathematics and Statistics
University of Melbourne
Parkville, VIC 3010 Australia
aram@unimelb.edu.au

Last update: 21 June 2013

Since there are hardly any references to the literature in the text, the following indications (which are of course incomplete) may be of use.

For sheaf theory and homological algebra:

R. Godement, Théorie des Faisceaux, Hermann, Paris, 1958;
A. Grothendieck, Sur quelques points d'algèbre Homologique, Tokoku Math. J., 9, 119-221 (1957).

For cohomological methods in algebraic geometry:

F. Hirzebruch, Topological Methods in Algebraic Geometry, 3rd edition, Springer, Berlin, 1966;
J.-P. Serre, Faisceaux algèbriques cohérents, Ann. Math., 61, 197-278 (1955).

The theory of schemes is expounded in

A. Grothendieck and J. Dreudonné, Éléments de Géometrie Algébrique, 0, I, II, III, IV, ..., Publ. Math. de l'Institut des Hautes-Études Scientifiques,, nos. 4, 7, 11, 17, 20, 24, 28, 32, ....

For the Hirzebruch-Riemann-Roch theorem, see Hirzebruch's book cited above; for Grothendieck's version, see

A. Borel and J.-P. Serre: Le théorème de Riemann-Roch (d'après Grothendieck), Bull. Soc. Math. France, 86, 97-136 (1958),

and the references given there.

Notes and References

This is a typed excerpt of the book "Algebraic Geometry: Introduction to Schemes - I.G. Macdonald".