Arithmetic geometry (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Arithmetic geometry" in English language version.

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13ams.org

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11doi.org

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5worldcat.org

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3jstor.org

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3numdam.org

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3harvard.edu

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2mit.edu

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1quantamagazine.org

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1ncatlab.org

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1zbmath.org

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1archive.org

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1psu.edu

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1stanford.edu

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1mathunion.org

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1uni-bonn.de

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ams.org

mathscinet.ams.org

Grothendieck, Alexander (1960). "The cohomology theory of abstract algebraic varieties". Proc. Internat. Congress Math. (Edinburgh, 1958). Cambridge University Press. pp. 103–118. MR 0130879.
Zariski, Oscar (2004) [1935]. Abhyankar, Shreeram S.; Lipman, Joseph; Mumford, David (eds.). Algebraic surfaces. Classics in mathematics (second supplemented ed.). Berlin, New York: Springer-Verlag. ISBN 978-3-540-58658-6. MR 0469915.
Weil, André (1949). "Numbers of solutions of equations in finite fields". Bulletin of the American Mathematical Society. 55 (5): 497–508. doi:10.1090/S0002-9904-1949-09219-4. ISSN 0002-9904. MR 0029393. Reprinted in Oeuvres Scientifiques/Collected Papers by André Weil ISBN 0-387-90330-5
Dwork, Bernard (1960). "On the rationality of the zeta function of an algebraic variety". American Journal of Mathematics. 82 (3). American Journal of Mathematics, Vol. 82, No. 3: 631–648. doi:10.2307/2372974. ISSN 0002-9327. JSTOR 2372974. MR 0140494.
Grothendieck, Alexander (1995) [1965]. "Formule de Lefschetz et rationalité des fonctions L". Séminaire Bourbaki. Vol. 9. Paris: Société Mathématique de France. pp. 41–55. MR 1608788.
Deligne, Pierre (1974). "La conjecture de Weil. I". Publications Mathématiques de l'IHÉS. 43 (1): 273–307. doi:10.1007/BF02684373. ISSN 1618-1913. MR 0340258.
Shimura, Goro (1989). "Yutaka Taniyama and his time. Very personal recollections". The Bulletin of the London Mathematical Society. 21 (2): 186–196. doi:10.1112/blms/21.2.186. ISSN 0024-6093. MR 0976064.
Mazur, Barry (1977). "Modular curves and the Eisenstein ideal". Publications Mathématiques de l'IHÉS. 47 (1): 33–186. doi:10.1007/BF02684339. MR 0488287.
Mazur, Barry (1978). "Rational isogenies of prime degree". Inventiones Mathematicae. 44 (2). with appendix by Dorian Goldfeld: 129–162. Bibcode:1978InMat..44..129M. doi:10.1007/BF01390348. MR 0482230.
Merel, Loïc (1996). "Bornes pour la torsion des courbes elliptiques sur les corps de nombres" [Bounds for the torsion of elliptic curves over number fields]. Inventiones Mathematicae (in French). 124 (1): 437–449. Bibcode:1996InMat.124..437M. doi:10.1007/s002220050059. MR 1369424.
Faltings, Gerd (1983). "Endlichkeitssätze für abelsche Varietäten über Zahlkörpern" [Finiteness theorems for abelian varieties over number fields]. Inventiones Mathematicae (in German). 73 (3): 349–366. Bibcode:1983InMat..73..349F. doi:10.1007/BF01388432. MR 0718935.
Faltings, Gerd (1984). "Erratum: Endlichkeitssätze für abelsche Varietäten über Zahlkörpern". Inventiones Mathematicae (in German). 75 (2): 381. doi:10.1007/BF01388572. MR 0732554.
Harris, Michael; Taylor, Richard (2001). The geometry and cohomology of some simple Shimura varieties. Annals of Mathematics Studies. Vol. 151. Princeton University Press. ISBN 978-0-691-09090-0. MR 1876802.

archive.org

Gowers, Timothy; Barrow-Green, June; Leader, Imre (2008). The Princeton companion to mathematics. Princeton University Press. pp. 773–774. ISBN 978-0-691-11880-2.

books.google.com

Zariski, Oscar (2004) [1935]. Abhyankar, Shreeram S.; Lipman, Joseph; Mumford, David (eds.). Algebraic surfaces. Classics in mathematics (second supplemented ed.). Berlin, New York: Springer-Verlag. ISBN 978-3-540-58658-6. MR 0469915.
Harris, Michael; Taylor, Richard (2001). The geometry and cohomology of some simple Shimura varieties. Annals of Mathematics Studies. Vol. 151. Princeton University Press. ISBN 978-0-691-09090-0. MR 1876802.

doi.org

Weil, André (1949). "Numbers of solutions of equations in finite fields". Bulletin of the American Mathematical Society. 55 (5): 497–508. doi:10.1090/S0002-9904-1949-09219-4. ISSN 0002-9904. MR 0029393. Reprinted in Oeuvres Scientifiques/Collected Papers by André Weil ISBN 0-387-90330-5
Serre, Jean-Pierre (1955). "Faisceaux Algebriques Coherents". The Annals of Mathematics. 61 (2): 197–278. doi:10.2307/1969915. JSTOR 1969915.
Dwork, Bernard (1960). "On the rationality of the zeta function of an algebraic variety". American Journal of Mathematics. 82 (3). American Journal of Mathematics, Vol. 82, No. 3: 631–648. doi:10.2307/2372974. ISSN 0002-9327. JSTOR 2372974. MR 0140494.
Deligne, Pierre (1974). "La conjecture de Weil. I". Publications Mathématiques de l'IHÉS. 43 (1): 273–307. doi:10.1007/BF02684373. ISSN 1618-1913. MR 0340258.
Shimura, Goro (1989). "Yutaka Taniyama and his time. Very personal recollections". The Bulletin of the London Mathematical Society. 21 (2): 186–196. doi:10.1112/blms/21.2.186. ISSN 0024-6093. MR 0976064.
Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. CiteSeerX 10.1.1.169.9076. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived from the original (PDF) on 2011-05-10. Retrieved 2019-03-22.
Mazur, Barry (1977). "Modular curves and the Eisenstein ideal". Publications Mathématiques de l'IHÉS. 47 (1): 33–186. doi:10.1007/BF02684339. MR 0488287.
Mazur, Barry (1978). "Rational isogenies of prime degree". Inventiones Mathematicae. 44 (2). with appendix by Dorian Goldfeld: 129–162. Bibcode:1978InMat..44..129M. doi:10.1007/BF01390348. MR 0482230.
Merel, Loïc (1996). "Bornes pour la torsion des courbes elliptiques sur les corps de nombres" [Bounds for the torsion of elliptic curves over number fields]. Inventiones Mathematicae (in French). 124 (1): 437–449. Bibcode:1996InMat.124..437M. doi:10.1007/s002220050059. MR 1369424.
Faltings, Gerd (1983). "Endlichkeitssätze für abelsche Varietäten über Zahlkörpern" [Finiteness theorems for abelian varieties over number fields]. Inventiones Mathematicae (in German). 73 (3): 349–366. Bibcode:1983InMat..73..349F. doi:10.1007/BF01388432. MR 0718935.
Faltings, Gerd (1984). "Erratum: Endlichkeitssätze für abelsche Varietäten über Zahlkörpern". Inventiones Mathematicae (in German). 75 (2): 381. doi:10.1007/BF01388572. MR 0732554.

grothendieckcircle.org

Grothendieck, Alexander (1960). "The cohomology theory of abstract algebraic varieties". Proc. Internat. Congress Math. (Edinburgh, 1958). Cambridge University Press. pp. 103–118. MR 0130879.

harvard.edu

ui.adsabs.harvard.edu

Mazur, Barry (1978). "Rational isogenies of prime degree". Inventiones Mathematicae. 44 (2). with appendix by Dorian Goldfeld: 129–162. Bibcode:1978InMat..44..129M. doi:10.1007/BF01390348. MR 0482230.
Merel, Loïc (1996). "Bornes pour la torsion des courbes elliptiques sur les corps de nombres" [Bounds for the torsion of elliptic curves over number fields]. Inventiones Mathematicae (in French). 124 (1): 437–449. Bibcode:1996InMat.124..437M. doi:10.1007/s002220050059. MR 1369424.
Faltings, Gerd (1983). "Endlichkeitssätze für abelsche Varietäten über Zahlkörpern" [Finiteness theorems for abelian varieties over number fields]. Inventiones Mathematicae (in German). 73 (3): 349–366. Bibcode:1983InMat..73..349F. doi:10.1007/BF01388432. MR 0718935.

jstor.org

Serre, Jean-Pierre (1955). "Faisceaux Algebriques Coherents". The Annals of Mathematics. 61 (2): 197–278. doi:10.2307/1969915. JSTOR 1969915.
Dwork, Bernard (1960). "On the rationality of the zeta function of an algebraic variety". American Journal of Mathematics. 82 (3). American Journal of Mathematics, Vol. 82, No. 3: 631–648. doi:10.2307/2372974. ISSN 0002-9327. JSTOR 2372974. MR 0140494.
Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. CiteSeerX 10.1.1.169.9076. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived from the original (PDF) on 2011-05-10. Retrieved 2019-03-22.

mathunion.org

"Fields Medals 2018". International Mathematical Union. Retrieved 2 August 2018.

mit.edu

ocw.mit.edu

Sutherland, Andrew V. (September 5, 2013). "Introduction to Arithmetic Geometry" (PDF). Retrieved 22 March 2019.

math.mit.edu

Poonen, Bjorn (2009). "Introduction to Arithmetic Geometry" (PDF). Retrieved March 22, 2019.

ncatlab.org

Arithmetic geometry at the nLab

numdam.org

Grothendieck, Alexander (1995) [1965]. "Formule de Lefschetz et rationalité des fonctions L". Séminaire Bourbaki. Vol. 9. Paris: Société Mathématique de France. pp. 41–55. MR 1608788.
Deligne, Pierre (1974). "La conjecture de Weil. I". Publications Mathématiques de l'IHÉS. 43 (1): 273–307. doi:10.1007/BF02684373. ISSN 1618-1913. MR 0340258.
Mazur, Barry (1977). "Modular curves and the Eisenstein ideal". Publications Mathématiques de l'IHÉS. 47 (1): 33–186. doi:10.1007/BF02684339. MR 0488287.

psu.edu

citeseerx.ist.psu.edu

Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. CiteSeerX 10.1.1.169.9076. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived from the original (PDF) on 2011-05-10. Retrieved 2019-03-22.

quantamagazine.org

Klarreich, Erica (June 28, 2016). "Peter Scholze and the Future of Arithmetic Geometry". Retrieved March 22, 2019.

stanford.edu

math.stanford.edu

Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. CiteSeerX 10.1.1.169.9076. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived from the original (PDF) on 2011-05-10. Retrieved 2019-03-22.

ubc.ca

sunsite.ubc.ca

Langlands, Robert (1979). "Automorphic Representations, Shimura Varieties, and Motives. Ein Märchen" (PDF). In Borel, Armand; Casselman, William (eds.). Automorphic Forms, Representations, and L-Functions: Symposium in Pure Mathematics. Vol. XXXIII Part 1. Chelsea Publishing Company. pp. 205–246.

uni-bonn.de

math.uni-bonn.de

Scholze, Peter. "Perfectoid spaces: A survey" (PDF). University of Bonn. Retrieved 4 November 2018.

web.archive.org

Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. CiteSeerX 10.1.1.169.9076. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived from the original (PDF) on 2011-05-10. Retrieved 2019-03-22.

worldcat.org

search.worldcat.org

Weil, André (1949). "Numbers of solutions of equations in finite fields". Bulletin of the American Mathematical Society. 55 (5): 497–508. doi:10.1090/S0002-9904-1949-09219-4. ISSN 0002-9904. MR 0029393. Reprinted in Oeuvres Scientifiques/Collected Papers by André Weil ISBN 0-387-90330-5
Dwork, Bernard (1960). "On the rationality of the zeta function of an algebraic variety". American Journal of Mathematics. 82 (3). American Journal of Mathematics, Vol. 82, No. 3: 631–648. doi:10.2307/2372974. ISSN 0002-9327. JSTOR 2372974. MR 0140494.
Deligne, Pierre (1974). "La conjecture de Weil. I". Publications Mathématiques de l'IHÉS. 43 (1): 273–307. doi:10.1007/BF02684373. ISSN 1618-1913. MR 0340258.
Shimura, Goro (1989). "Yutaka Taniyama and his time. Very personal recollections". The Bulletin of the London Mathematical Society. 21 (2): 186–196. doi:10.1112/blms/21.2.186. ISSN 0024-6093. MR 0976064.
Wiles, Andrew (1995). "Modular elliptic curves and Fermat's Last Theorem" (PDF). Annals of Mathematics. 141 (3): 443–551. CiteSeerX 10.1.1.169.9076. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255. Archived from the original (PDF) on 2011-05-10. Retrieved 2019-03-22.

zbmath.org

Lang, Serge (1997). Survey of Diophantine Geometry. Springer-Verlag. pp. 43–67. ISBN 3-540-61223-8. Zbl 0869.11051.