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- Foundations_of_Algebraic_Geometry abstract "Foundations of Algebraic Geometry is a book by André Weil (1946, 1962) that develops algebraic geometry over fields of any characteristic. In particular it gives a careful treatment of intersection theory by defining the local intersection multiplicity of two subvarieties. Weil was motivated by the need for a rigorous theory of correspondences on algebraic curves in positive characteristic, which he used in his proof of the Riemann hypothesis for curves over a finite field. Weil introduced abstract rather than projective varieties partly so that he could construct the Jacobian of a curve. (It was not known at the time that Jacobians are always projective varieties.) It was some time before anyone found any examples of complete abstract varieties that are not projective. In the 1950s Weil's work was one of several competing attempts to provide satisfactory foundations for algebraic geometry, all of which were superseded by Grothendieck's development of schemes.".
- Foundations_of_Algebraic_Geometry wikiPageExternalLink books?id=ML7u26rkEkIC.
- Foundations_of_Algebraic_Geometry wikiPageExternalLink fea-raynaud.pdf.
- Foundations_of_Algebraic_Geometry wikiPageExternalLink Weil_Algebraic_Geometry.html.
- Foundations_of_Algebraic_Geometry wikiPageID "26402563".
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- Foundations_of_Algebraic_Geometry wikiPageOutDegree "23".
- Foundations_of_Algebraic_Geometry wikiPageRevisionID "701838119".
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Alexander_Grothendieck.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Algebraic_curve.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Algebraic_geometry.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Algebraic_variety.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink American_Mathematical_Society.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Archive_for_History_of_Exact_Sciences.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Bulletin_of_the_American_Mathematical_Society.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Category:1946_books.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Category:Algebraic_geometry.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Category:History_of_mathematics.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Category:Mathematics_books.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Characteristic_(algebra).
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Complete_variety.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Field_(mathematics).
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Finite_field.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Intersection_theory.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Jacobian_variety.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Notices_of_the_American_Mathematical_Society.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Projective_variety.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Riemann_hypothesis.
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Scheme_(mathematics).
- Foundations_of_Algebraic_Geometry wikiPageWikiLink Subvariety.
- Foundations_of_Algebraic_Geometry wikiPageWikiLinkText "Foundations of Algebraic Geometry".
- Foundations_of_Algebraic_Geometry authorlink "André Weil".
- Foundations_of_Algebraic_Geometry first "André".
- Foundations_of_Algebraic_Geometry last "Weil".
- Foundations_of_Algebraic_Geometry wikiPageUsesTemplate Template:Citation.
- Foundations_of_Algebraic_Geometry wikiPageUsesTemplate Template:For.
- Foundations_of_Algebraic_Geometry wikiPageUsesTemplate Template:Harvs.
- Foundations_of_Algebraic_Geometry year "1946".
- Foundations_of_Algebraic_Geometry year "1962".
- Foundations_of_Algebraic_Geometry subject Category:1946_books.
- Foundations_of_Algebraic_Geometry subject Category:Algebraic_geometry.
- Foundations_of_Algebraic_Geometry subject Category:History_of_mathematics.
- Foundations_of_Algebraic_Geometry subject Category:Mathematics_books.
- Foundations_of_Algebraic_Geometry hypernym Book.
- Foundations_of_Algebraic_Geometry type Book.
- Foundations_of_Algebraic_Geometry type Book.
- Foundations_of_Algebraic_Geometry comment "Foundations of Algebraic Geometry is a book by André Weil (1946, 1962) that develops algebraic geometry over fields of any characteristic. In particular it gives a careful treatment of intersection theory by defining the local intersection multiplicity of two subvarieties. Weil was motivated by the need for a rigorous theory of correspondences on algebraic curves in positive characteristic, which he used in his proof of the Riemann hypothesis for curves over a finite field.".
- Foundations_of_Algebraic_Geometry label "Foundations of Algebraic Geometry".
- Foundations_of_Algebraic_Geometry sameAs Q5474572.
- Foundations_of_Algebraic_Geometry sameAs Foundations_of_Algebraic_Geometry.
- Foundations_of_Algebraic_Geometry sameAs m.06v4f1t.
- Foundations_of_Algebraic_Geometry sameAs Q5474572.
- Foundations_of_Algebraic_Geometry wasDerivedFrom Foundations_of_Algebraic_Geometry?oldid=701838119.
- Foundations_of_Algebraic_Geometry isPrimaryTopicOf Foundations_of_Algebraic_Geometry.