Арифметична геометрія (Ukrainian Wikipedia)

Analysis of information sources in references of the Wikipedia article "Арифметична геометрія" in Ukrainian language version.

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13ams.org

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3harvard.edu

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2mit.edu

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1quantamagazine.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. с. 103—118. MR 0130879.
Zariski, Oscar (2004). Abhyankar, Shreeram S.; Lipman, Joseph; Mumford, David (ред.). Algebraic surfaces. Classics in mathematics (вид. second supplemented). 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. American Journal of Mathematics, Vol. 82, No. 3. 82 (3): 631—648. doi:10.2307/2372974. ISSN 0002-9327. JSTOR 2372974. MR 0140494.
Grothendieck, Alexander (1995). Formule de Lefschetz et rationalité des fonctions L. Séminaire Bourbaki. Т. 9. Paris: Société Mathématique de France. с. 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). with appendix by Dorian Goldfeld. Rational isogenies of prime degree. Inventiones Mathematicae. 44 (2): 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 (фр.). 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 (нім.). 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 (нім.). 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. Т. 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. с. 773—774. ISBN 978-0-691-11880-2.
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. American Journal of Mathematics, Vol. 82, No. 3. 82 (3): 631—648. doi:10.2307/2372974. ISSN 0002-9327. JSTOR 2372974. MR 0140494.
Faltings, Gerd (1983). Endlichkeitssätze für abelsche Varietäten über Zahlkörpern [Finiteness theorems for abelian varieties over number fields]. Inventiones Mathematicae (нім.). 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 (нім.). 75 (2): 381. doi:10.1007/BF01388572. MR 0732554.

books.google.com

Zariski, Oscar (2004). Abhyankar, Shreeram S.; Lipman, Joseph; Mumford, David (ред.). Algebraic surfaces. Classics in mathematics (вид. second supplemented). 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. Т. 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. American Journal of Mathematics, Vol. 82, No. 3. 82 (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. Архів оригіналу (PDF) за 10 травня 2011. Процитовано 22 березня 2019. [Архівовано 2011-05-10 у Wayback Machine.]
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). with appendix by Dorian Goldfeld. Rational isogenies of prime degree. Inventiones Mathematicae. 44 (2): 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 (фр.). 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 (нім.). 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 (нім.). 75 (2): 381. doi:10.1007/BF01388572. MR 0732554.

harvard.edu

ui.adsabs.harvard.edu

Mazur, Barry (1978). with appendix by Dorian Goldfeld. Rational isogenies of prime degree. Inventiones Mathematicae. 44 (2): 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 (фр.). 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 (нім.). 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. American Journal of Mathematics, Vol. 82, No. 3. 82 (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. Архів оригіналу (PDF) за 10 травня 2011. Процитовано 22 березня 2019. [Архівовано 2011-05-10 у Wayback Machine.]

mathunion.org

Fields Medals 2018. International Mathematical Union. Процитовано 2 серпня 2018.

mit.edu

ocw.mit.edu

Sutherland, Andrew V. (5 вересня 2013). Introduction to Arithmetic Geometry (PDF). Процитовано 22 березня 2019.

math.mit.edu

Poonen, Bjorn (2009). Introduction to Arithmetic Geometry (PDF). Процитовано 22 березня 2019.

numdam.org

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. Архів оригіналу (PDF) за 10 травня 2011. Процитовано 22 березня 2019. [Архівовано 2011-05-10 у Wayback Machine.]

quantamagazine.org

Klarreich, Erica (28 червня 2016). Peter Scholze and the Future of Arithmetic Geometry. Процитовано 22 березня 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. Архів оригіналу (PDF) за 10 травня 2011. Процитовано 22 березня 2019. [Архівовано 2011-05-10 у Wayback Machine.]

uni-bonn.de

math.uni-bonn.de

Scholze, Peter. Perfectoid spaces: A survey (PDF). University of Bonn. Процитовано 4 листопада 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. Архів оригіналу (PDF) за 10 травня 2011. Процитовано 22 березня 2019. [Архівовано 2011-05-10 у Wayback Machine.]

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. American Journal of Mathematics, Vol. 82, No. 3. 82 (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. Архів оригіналу (PDF) за 10 травня 2011. Процитовано 22 березня 2019. [Архівовано 2011-05-10 у Wayback Machine.]

zbmath.org

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