General type General position

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general position property of configurations of points, or more other subvarieties (lines in general position, no 3 concurrent, , like). general position extrinsic notion, depends on embedding subvariety. informally, subvarieties in general position if cannot described more others. intrinsic analog of general position general type, , corresponds variety cannot described simpler polynomial equations others. formalized notion of kodaira dimension of variety, , measure projective spaces special varieties, though there other equally special ones, meaning having negative kodaira dimension. algebraic curves, resulting classification is: projective line, torus, higher genus surfaces (



g
≥
2


{\displaystyle g\geq 2}

), , similar classifications occur in higher dimensions, notably enriques–kodaira classification of algebraic surfaces.







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