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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration finite foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeNov 6th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Emil Artin]], §II in: *[[Geometric Algebra]]*, Wiley 1957 (1988) &lbrack;[ISBN:978-1-118-16454-9](https://www.wiley.com/en-ae/Geometric+Algebra-p-9781118164549), <a href="https://en.wikipedia.org/wiki/Geometric_Algebra_(book)">Wikipedia entry</a>, [ark:/13960/t4nk37034](https://archive.org/details/geometricalgebra033556mbp/page/n5/mode/2upa)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/projective+geometry/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/projective+geometry/5">v5</a>, <a href="https://ncatlab.org/nlab/show/projective+geometry">current</a>

   added pointer to:

   • Emil Artin, §II in: Geometric Algebra, Wiley 1957 (1988) [ISBN:978-1-118-16454-9, Wikipedia entry, ark:/13960/t4nk37034]

   diff, v5, current

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeApr 15th 2025
   • PermaLink
   Author: zskoda
   Format: MarkdownItexIdea section. Open to discussion. Projective geometry is the study of the geometrical properties of projective spaces which are invariant under projective maps (transformations). By extension, it also studies the geometry of closed subvarieties of projective spaces (projective varieties). There is also an analogue in differential geometry, [[projective differential geometry]], which includes the differential geometry of properties of a projective spaces invariant under the [[projective group]] but also more generally the study of smooth manifolds equipped with a [[projective connection]] (a special case of a [[Cartan connection]] expressing pointwise projective geometry). <a href="https://ncatlab.org/nlab/revision/diff/projective+geometry/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/projective+geometry/7">v7</a>, <a href="https://ncatlab.org/nlab/show/projective+geometry">current</a>

   Idea section. Open to discussion.

   Projective geometry is the study of the geometrical properties of projective spaces which are invariant under projective maps (transformations). By extension, it also studies the geometry of closed subvarieties of projective spaces (projective varieties).

   There is also an analogue in differential geometry, projective differential geometry, which includes the differential geometry of properties of a projective spaces invariant under the projective group but also more generally the study of smooth manifolds equipped with a projective connection (a special case of a Cartan connection expressing pointwise projective geometry).

   diff, v7, current