Scheme (mathematics) (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Scheme (mathematics)" in English language version.

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Dieudonné 1985, Chapters IV and V. Dieudonné, Jean (1985), History of Algebraic Geometry, Wadsworth, ISBN 978-0-534-03723-9, MR 0780183
Dieudonné 1985, sections VII.2 and VII.5. Dieudonné, Jean (1985), History of Algebraic Geometry, Wadsworth, ISBN 978-0-534-03723-9, MR 0780183
Dieudonné 1985, section VII.4. Dieudonné, Jean (1985), History of Algebraic Geometry, Wadsworth, ISBN 978-0-534-03723-9, MR 0780183
Cartier 2001, note 29. Cartier, Pierre (2001), "A mad day's work: from Grothendieck to Connes and Kontsevich. The evolution of concepts of space and symmetry", Bulletin of the American Mathematical Society, 38 (4): 389–408, doi:10.1090/S0273-0979-01-00913-2, MR 1848254
Dieudonné 1985, sections VII.4, VIII.2, VIII.3. Dieudonné, Jean (1985), History of Algebraic Geometry, Wadsworth, ISBN 978-0-534-03723-9, MR 0780183
Hartshorne 1997, section II.2. Hartshorne, Robin (1997) [1977]. Algebraic Geometry. Springer-Verlag. ISBN 978-0-387-90244-9. MR 0463157.
Mumford 1999, Chapter II. Mumford, David (1999). The Red Book of Varieties and Schemes: Includes the Michigan Lectures (1974) on Curves and Their Jacobians. Lecture Notes in Mathematics. Vol. 1358 (2nd ed.). Springer-Verlag. doi:10.1007/b62130. ISBN 978-3-540-63293-1. MR 1748380.
Hartshorne 1997, Proposition II.2.3. Hartshorne, Robin (1997) [1977]. Algebraic Geometry. Springer-Verlag. ISBN 978-0-387-90244-9. MR 0463157.
Eisenbud & Harris 1998, Proposition VI-2. Eisenbud, David; Harris, Joe (1998). The Geometry of Schemes. Springer-Verlag. ISBN 978-0-387-98637-1. MR 1730819.
Hartshorne 1997, Example II.4.0.1. Hartshorne, Robin (1997) [1977]. Algebraic Geometry. Springer-Verlag. ISBN 978-0-387-90244-9. MR 0463157.
Hartshorne 1997, Exercises I.3.6 and III.4.3. Hartshorne, Robin (1997) [1977]. Algebraic Geometry. Springer-Verlag. ISBN 978-0-387-90244-9. MR 0463157.
Arapura 2011, section 1. Arapura, Donu (2011), "Frobenius amplitude, ultraproducts, and vanishing on singular spaces", Illinois Journal of Mathematics, 55 (4): 1367–1384, arXiv:0806.1033, doi:10.1215/ijm/1373636688, MR 3082873
Eisenbud & Harris 1998, Example II-10. Eisenbud, David; Harris, Joe (1998). The Geometry of Schemes. Springer-Verlag. ISBN 978-0-387-98637-1. MR 1730819.
Dieudonné 1985, sections VIII.2 and VIII.3. Dieudonné, Jean (1985), History of Algebraic Geometry, Wadsworth, ISBN 978-0-534-03723-9, MR 0780183
Hartshorne 1997, Chapter III. Hartshorne, Robin (1997) [1977]. Algebraic Geometry. Springer-Verlag. ISBN 978-0-387-90244-9. MR 0463157.
Vistoli 2005, Definition 4.6. Vistoli, Angelo (2005), "Grothendieck topologies, fibered categories and descent theory", Fundamental Algebraic Geometry, Providence, RI: American Mathematical Society, pp. 1–104, arXiv:math/0412512, Bibcode:2004math.....12512V, MR 2223406

archive.org

Dieudonné 1985, Chapters IV and V. Dieudonné, Jean (1985), History of Algebraic Geometry, Wadsworth, ISBN 978-0-534-03723-9, MR 0780183
Dieudonné 1985, sections VII.2 and VII.5. Dieudonné, Jean (1985), History of Algebraic Geometry, Wadsworth, ISBN 978-0-534-03723-9, MR 0780183
Dieudonné 1985, section VII.4. Dieudonné, Jean (1985), History of Algebraic Geometry, Wadsworth, ISBN 978-0-534-03723-9, MR 0780183
Dieudonné 1985, sections VII.4, VIII.2, VIII.3. Dieudonné, Jean (1985), History of Algebraic Geometry, Wadsworth, ISBN 978-0-534-03723-9, MR 0780183
Eisenbud & Harris 1998, Proposition VI-2. Eisenbud, David; Harris, Joe (1998). The Geometry of Schemes. Springer-Verlag. ISBN 978-0-387-98637-1. MR 1730819.
Eisenbud & Harris 1998, Example II-10. Eisenbud, David; Harris, Joe (1998). The Geometry of Schemes. Springer-Verlag. ISBN 978-0-387-98637-1. MR 1730819.
Dieudonné 1985, sections VIII.2 and VIII.3. Dieudonné, Jean (1985), History of Algebraic Geometry, Wadsworth, ISBN 978-0-534-03723-9, MR 0780183

arxiv.org

Arapura 2011, section 1. Arapura, Donu (2011), "Frobenius amplitude, ultraproducts, and vanishing on singular spaces", Illinois Journal of Mathematics, 55 (4): 1367–1384, arXiv:0806.1033, doi:10.1215/ijm/1373636688, MR 3082873
Vistoli 2005, Definition 4.6. Vistoli, Angelo (2005), "Grothendieck topologies, fibered categories and descent theory", Fundamental Algebraic Geometry, Providence, RI: American Mathematical Society, pp. 1–104, arXiv:math/0412512, Bibcode:2004math.....12512V, MR 2223406

columbia.edu

stacks.math.columbia.edu

doi.org

Cartier 2001, note 29. Cartier, Pierre (2001), "A mad day's work: from Grothendieck to Connes and Kontsevich. The evolution of concepts of space and symmetry", Bulletin of the American Mathematical Society, 38 (4): 389–408, doi:10.1090/S0273-0979-01-00913-2, MR 1848254
Mumford 1999, Chapter II. Mumford, David (1999). The Red Book of Varieties and Schemes: Includes the Michigan Lectures (1974) on Curves and Their Jacobians. Lecture Notes in Mathematics. Vol. 1358 (2nd ed.). Springer-Verlag. doi:10.1007/b62130. ISBN 978-3-540-63293-1. MR 1748380.
Arapura 2011, section 1. Arapura, Donu (2011), "Frobenius amplitude, ultraproducts, and vanishing on singular spaces", Illinois Journal of Mathematics, 55 (4): 1367–1384, arXiv:0806.1033, doi:10.1215/ijm/1373636688, MR 3082873

harvard.edu

ui.adsabs.harvard.edu

Vistoli 2005, Definition 4.6. Vistoli, Angelo (2005), "Grothendieck topologies, fibered categories and descent theory", Fundamental Algebraic Geometry, Providence, RI: American Mathematical Society, pp. 1–104, arXiv:math/0412512, Bibcode:2004math.....12512V, MR 2223406

numdam.org

Chevalley, C. (1955–1956), Les schémas, Séminaire Henri Cartan, vol. 8, pp. 1–6

warwick.ac.uk

homepages.warwick.ac.uk

"Elliptic curves" (PDF). p. 20.