Editing General position (section)

== General type ==
{{see|General type}}
General position is a property of configurations of points, or more generally other subvarieties (lines in general position, so no three concurrent, and the like). General position is an ''extrinsic'' notion, which depends on an embedding as a subvariety. Informally, subvarieties are in general position if they cannot be described more simply than others. An ''intrinsic'' analog of general position is [[general type]], and corresponds to a variety which cannot be described by simpler polynomial equations than others. This is formalized by the notion of [[Kodaira dimension]] of a variety, and by this measure projective spaces are the most special varieties, though there are other equally special ones, meaning having negative Kodaira dimension. For algebraic curves, the resulting classification is: projective line, torus, higher genus surfaces (<math>g \geq 2</math>), and similar classifications occur in higher dimensions, notably the [[Enriques–Kodaira classification]] of [[algebraic surface]]s.