nLab
GAGA

GAGA refers to the paper Géometrie Algébrique et Géométrie Analytique by Serre, and in general to results relating complex algebraic geometry and complex analytic geometry.

For example, often one can computes sheaf cohomology either in the algebraic category or in the analytic category, obtaining the same result. This can be useful because one has more tools in the analytic category, such as Dolbeault resolutions. Typically GAGA-type theorems hold for proper (compact) varieties, but not for non-proper varieties.

catgeory: reference

Revised on June 8, 2013 14:29:54 by Urs Schreiber (66.46.90.198)