About: Algebraic geometry of projective spaces

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Projective space plays a central role in algebraic geometry. The aim of this article is to define the notion in terms of abstract algebraic geometry and to describe some basic uses of projective space.

Attributes	Values
rdfs:label	Algebraic geometry of projective spaces (en)
rdfs:comment	Projective space plays a central role in algebraic geometry. The aim of this article is to define the notion in terms of abstract algebraic geometry and to describe some basic uses of projective space. (en)
sameAs	Algebraic geometry of projective spaces Algebraic geometry of projective spaces
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Dead_link dbt:Reflist
Subject	Algebraic geometry Algebraic varieties Projective geometry Geometry of divisors
Link from a Wikipage to an external page	https://web.archive.org/web/20101213103332/http:/www.math.u-psud.fr/~laszlo/ http://www.math.u-psud.fr/~laszlo/M2/2010-2011/TD2.pdf https://mathoverflow.net/q/60324
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Algebraic_geometry_of_projective_spaces?oldid=1027690217&ns=0
Wikipage page ID	31453337 (xsd:integer)
page length (characters) of wiki page	9607 (xsd:nonNegativeInteger)
Wikipage revision ID	1027690217 (xsd:integer)
Link from a Wikipage to another Wikipage	Localization (commutative algebra) Proj construction Projective geometry Projective space Projective variety Unique factorization domain Affine variety Algebraic Geometry (book) Algebraic geometry Algebraic variety Algebraically closed field Ample line bundle Base (topology) Birkhoff–Grothendieck theorem Blowing up Radical of an ideal Tautological bundle Bézout's theorem Canonical bundle Algebraic geometry Algebraic varieties Projective geometry Glossary of algebraic geometry Dimension (vector space) Divisor (algebraic geometry) Dual space Divisor (algebraic geometry) Chern class Hypersurface Line bundle Linear form Linear system of divisors Prime ideal Principal ideal Ruled variety Sheaf (mathematics) Springer Science+Business Media Cover (topology) Hilbert's Nullstellensatz Homogeneous polynomial Spectrum of a ring Graded ring Morphism of schemes Symmetric algebra Exceptional divisor Fano variety Field (mathematics) Invertible sheaf Irreducible component Irrelevant ideal Krull dimension Vector space Euler sequence MathOverflow Polynomial ring Singular point of an algebraic variety Geometry of divisors dbr:Morphism_(algebraic_geometry)
has abstract	Projective space plays a central role in algebraic geometry. The aim of this article is to define the notion in terms of abstract algebraic geometry and to describe some basic uses of projective space. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Algebraic_geometry_of_projective_spaces
is rdfs:seeAlso of	Projective space
is Link from a Wikipage to another Wikipage of	Algebraic variety Ample line bundle Birkhoff–Grothendieck theorem Geometric genus Fano variety Euler sequence
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Algebraic_geometry_of_projective_spaces

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