Parshin, A. N. The Mellin transform and the Plancherel theorem for the discrete Heisenberg group. (English. Russian original) Zbl 1436.20009 Proc. Steklov Inst. Math. 307, 174-192 (2019); translation from Tr. Mat. Inst. Steklova 307, 193-211 (2019). MSC: 20C15 20F18 PDFBibTeX XMLCite \textit{A. N. Parshin}, Proc. Steklov Inst. Math. 307, 174--192 (2019; Zbl 1436.20009); translation from Tr. Mat. Inst. Steklova 307, 193--211 (2019) Full Text: DOI
Parshin, A. N. On the direct image conjecture in the relative Langlands programme. (English. Russian original) Zbl 1371.14019 Russ. Math. Surv. 70, No. 5, 961-963 (2015); translation from Usp. Mat. Nauk 70, No. 5, 181-182 (2015). Reviewer: Paul Vojta (Berkeley) MSC: 14D24 22E57 11R39 PDFBibTeX XMLCite \textit{A. N. Parshin}, Russ. Math. Surv. 70, No. 5, 961--963 (2015; Zbl 1371.14019); translation from Usp. Mat. Nauk 70, No. 5, 181--182 (2015) Full Text: DOI
Parshin, A. N. A holomorphic version of the Tate-Iwasawa method for unramified \(L\)-functions. I. (English. Russian original) Zbl 1318.11149 Sb. Math. 205, No. 10, 1473-1491 (2014); translation from Mat. Sb. 205, No. 10, 107-124 (2014). Reviewer: Stelian Mihalas (Timişoara) MSC: 11R56 11R54 11M41 PDFBibTeX XMLCite \textit{A. N. Parshin}, Sb. Math. 205, No. 10, 1473--1491 (2014; Zbl 1318.11149); translation from Mat. Sb. 205, No. 10, 107--124 (2014) Full Text: DOI
Parshin, A. N. Mathematics in Moscow: we had a great epoque once. (English) Zbl 1278.01028 Eur. Math. Soc. Newsl. 88, 42-49 (2013). MSC: 01A74 PDFBibTeX XMLCite \textit{A. N. Parshin}, Eur. Math. Soc. Newsl. 88, 42--49 (2013; Zbl 1278.01028)
Parshin, A. N. Questions and remarks to the Langlands programme. (English. Russian original) Zbl 1318.22010 Russ. Math. Surv. 67, No. 3, 509-539 (2012); translation from Usp. Mat. Nauk 67, No. 3, 115-146 (2012). Reviewer: Zongbin Chen (Lausanne) MSC: 22E57 11R39 11S37 11R70 14D24 PDFBibTeX XMLCite \textit{A. N. Parshin}, Russ. Math. Surv. 67, No. 3, 509--539 (2012; Zbl 1318.22010); translation from Usp. Mat. Nauk 67, No. 3, 115--146 (2012) Full Text: DOI arXiv
Parshin, A. N. Mathematics in Moscow: we had a great epoch. (Russian) Zbl 1238.01117 Istor.-Mat. Issled. (2) 14(49), 11-25, 357 (2011). MSC: 01A72 PDFBibTeX XMLCite \textit{A. N. Parshin}, Istor.-Mat. Issled. (2) 14(49), 11--25, 357 (2011; Zbl 1238.01117)
Parshin, A. N. Representations of higher adelic groups and arithmetic. (English) Zbl 1266.11118 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. I: Plenary lectures and ceremonies. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-30-4/set; 978-81-85931-08-3/hbk; 978-981-4324-31-1/hbk; 978-981-4324-35-9/ebook). 362-392 (2011). Reviewer: V. Popa (Chişinău) MSC: 11R56 11S31 PDFBibTeX XMLCite \textit{A. N. Parshin}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. I: Plenary lectures and ceremonies. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 362--392 (2011; Zbl 1266.11118) Full Text: arXiv Link
Parshin, A. N. On holomorphic representations of discrete Heisenberg groups. (English. Russian original) Zbl 1232.43005 Funct. Anal. Appl. 44, No. 2, 156-159 (2010); translation from Funkts. Anal. Prilozh. 44, No. 2, 92-96 (2010). Reviewer: Maciej Borodzik (Warszawa) MSC: 43A65 PDFBibTeX XMLCite \textit{A. N. Parshin}, Funct. Anal. Appl. 44, No. 2, 156--159 (2010; Zbl 1232.43005); translation from Funkts. Anal. Prilozh. 44, No. 2, 92--96 (2010) Full Text: DOI
Parshin, Aleksej N. Mathematics in Moscow: it has been a great era. (Mathematik in Moskau – es war eine große Epoche.) (German) Zbl 1204.01042 Mitt. Dtsch. Math.-Ver. 18, No. 1, 43-48 (2010). Reviewer: Victor V. Pambuccian (Phoenix) MSC: 01A72 01A60 01A61 01A80 00A30 PDFBibTeX XMLCite \textit{A. N. Parshin}, Mitt. Dtsch. Math.-Ver. 18, No. 1, 43--48 (2010; Zbl 1204.01042) Full Text: DOI
Parshin, A. N. Notes on the Poisson formula. arXiv:1011.3392 Preprint, arXiv:1011.3392 [math.NT] (2010). MSC: 11Gxx 11Sxx 14Gxx 14Kxx BibTeX Cite \textit{A. N. Parshin}, ``Notes on the Poisson formula'', Preprint, arXiv:1011.3392 [math.NT] (2010) Full Text: arXiv OA License
Parshin, A. N. Local constructions in algebraic geometry. (English) Zbl 1239.14034 Tsfasman, M. A. (ed.) et al., Глобус. Обще математическии семинар. Выпуск 3. Moscow: Nepreryvnogo Matematicheskogo Obrazovaniya (ISBN 5-94057-259-6). 60-82 (2006). MSC: 14J99 PDFBibTeX XMLCite \textit{A. N. Parshin}, in: Глобус. Обще математическии семинар. Выпуск 3. Moscow: Nepreryvnogo Matematicheskogo Obrazovaniya. 60--82 (2006; Zbl 1239.14034)
Parshin, A. N. Numbers as functions: the development of an idea in the Moscow school of algebraic geometry. (English) Zbl 1119.01018 Bolibruch, A.A. (ed.) et al., Mathematical events of the twentieth century. Transl. from the Russian. Berlin: Springer; Moscow: PHASIS (ISBN 3-540-23235-4/hbk). 297-329 (2006). Reviewer: V. N. Saliĭ (Saratov) MSC: 01A60 01A72 14-03 PDFBibTeX XMLCite \textit{A. N. Parshin}, in: Mathematical events of the twentieth century. Transl. from the Russian. Berlin: Springer; Moscow: PHASIS. 297--329 (2006; Zbl 1119.01018) Full Text: arXiv
Parshin, A. N. Vector bundles and arithmetic groups. II. (English. Russian original) Zbl 1077.14055 Proc. Steklov Inst. Math. 241, 164-176 (2003); translation from Tr. Mat. Inst. Im. V. A. Steklova 241, 179-191 (2003). Reviewer: Usha N. Bhosle (Mumbai) MSC: 14J60 14G20 20E42 20G25 PDFBibTeX XMLCite \textit{A. N. Parshin}, in: Number theory, algebra, and algebraic geometry. Collected papers dedicated to the 80th birthday of Academician Igor' Rostislavovich Shafarevich. Transl. from the Russian. Moskva: Maik Nauka/Interperiodika. 164--176 (2003; Zbl 1077.14055); translation from Tr. Mat. Inst. Im. V. A. Steklova 241, 179--191 (2003)
Parshin, A. N. “Is it a coincidence?” (Publication and notes by S. Faddeev). (Russian. English summary) Zbl 1033.01500 Istor.-Mat. Issled., II. Ser. 7(42), 357-359, 369 (2002). MSC: 01A70 PDFBibTeX XMLCite \textit{A. N. Parshin}, Istor.-Mat. Issled. (2) 7(42), 357--359, 369 (2002; Zbl 1033.01500)
Parshin, A. N. Note on the Siegel formula. (English. Russian original) Zbl 0999.20040 J. Math. Sci., New York 106, No. 5, 3336-3339 (2001); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 70, VINITI, Moscow 159-164 (2001). Reviewer: Samuel James Patterson (Göttingen) MSC: 20G35 22E40 PDFBibTeX XMLCite \textit{A. N. Parshin}, J. Math. Sci., New York 106, No. 5, 3336--3339 (2001; Zbl 0999.20040); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 70, VINITI, Moscow 159--164 (2001) Full Text: DOI
Parshin, A. N. Integrable systems and local fields. (English) Zbl 1014.14015 Commun. Algebra 29, No. 9, 4157-4181 (2001). Reviewer: Werner Kleinert (Berlin) MSC: 14H70 37K20 13N10 14G20 PDFBibTeX XMLCite \textit{A. N. Parshin}, Commun. Algebra 29, No. 9, 4157--4181 (2001; Zbl 1014.14015) Full Text: DOI arXiv
Parshin, A. N. The Krichever correspondence for algebraic surfaces. (English. Russian original) Zbl 1078.14525 Funct. Anal. Appl. 35, No. 1, 74-76 (2001); translation from Funkts. Anal. Prilozh. 35, No. 1, 88-90 (2001). MSC: 14H70 14J99 37K20 PDFBibTeX XMLCite \textit{A. N. Parshin}, Funct. Anal. Appl. 35, No. 1, 74--76 (2001; Zbl 1078.14525); translation from Funkts. Anal. Prilozh. 35, No. 1, 88--90 (2001) Full Text: DOI arXiv
Parshin, A. N. Reflections on Gödel’s theorem. (English) Zbl 1074.01521 Istor.-Mat. Issled., II. Ser. 5(40), 26-55, 381 (2000). MSC: 01A60 03A05 03F30 PDFBibTeX XMLCite \textit{A. N. Parshin}, Istor.-Mat. Issled. (2) 5(40), 26--55, 381 (2000; Zbl 1074.01521)
Parshin, A. N. The Bruhat-Tits buildings over higher dimensional local fields. (English) Zbl 1008.20018 Fesenko, Ivan (ed.) et al., Invitation to higher local fields. Extended version of talks given at the conference on higher local fields, Münster, Germany, August 29-September 5, 1999. Coventry: Geometry and Topology Publications, Geom. Topol. Monogr. 3, 223-237 (2000). MSC: 20E42 20G25 14J70 14F05 PDFBibTeX XMLCite \textit{A. N. Parshin}, Geom. Topol. Monogr. 3, 223--237 (2000; Zbl 1008.20018) Full Text: EMIS
Parshin, A. N. Higher dimensional local fields and \(L\)-functions. (English) Zbl 1008.11060 Fesenko, Ivan (ed.) et al., Invitation to higher local fields. Extended version of talks given at the conference on higher local fields, Münster, Germany, August 29-September 5, 1999. Coventry: Geometry and Topology Publications, Geom. Topol. Monogr. 3, 199-213 (2000). MSC: 11S40 11R56 11S80 PDFBibTeX XMLCite \textit{A. N. Parshin}, Geom. Topol. Monogr. 3, 199--213 (2000; Zbl 1008.11060) Full Text: EMIS
Parshin, A. N. Invitation to higher local fields, Part II, section 3: The Bruhat-Tits buildings over higher dimensional local fields. arXiv:math/0012153 Preprint, arXiv:math/0012153 [math.NT] (2000). MSC: 20G35 20G99 BibTeX Cite \textit{A. N. Parshin}, ``Invitation to higher local fields, Part II, section 3: The Bruhat-Tits buildings over higher dimensional local fields'', Preprint, arXiv:math/0012153 [math.NT] (2000) Full Text: arXiv
Parshin, A. N. Invitation to higher local fields, Part II, section 1: Higher dimensional local fields and L-functions. arXiv:math/0012151 Preprint, arXiv:math/0012151 [math.NT] (2000). MSC: 14G99 14G45 11M99 BibTeX Cite \textit{A. N. Parshin}, ``Invitation to higher local fields, Part II, section 1: Higher dimensional local fields and L-functions'', Preprint, arXiv:math/0012151 [math.NT] (2000) Full Text: arXiv
Parshin, A. N. On a ring of formal pseudodifferential operators. (English. Russian original) Zbl 1008.37042 Proc. Steklov Inst. Math. 224, 266-280 (1999); translation from Tr. Mat. Inst. Steklova 224, 291-305 (1999). Reviewer: Iskander A.Taimanov (Novosibirsk) MSC: 37K10 16S32 PDFBibTeX XMLCite \textit{A. N. Parshin}, in: Алгебра. Топология. Дифференциальные уравнения и их приложения. Сборник статей. К 90-летию со дня рождения академика Льва Семеновича Понтрягина. Moskva: Nauka, Maik Nauka/ Interperiodika. 291--305 (1999; Zbl 1008.37042); translation from Tr. Mat. Inst. Steklova 224, 291--305 (1999) Full Text: arXiv
Parshin, A. N. Vector Bundles and Arithmetical Groups I. The higher Bruhat-Tits tree. arXiv:alg-geom/9605001 Preprint, arXiv:alg-geom/9605001 [alg-geom] (1996). BibTeX Cite \textit{A. N. Parshin}, ``Vector Bundles and Arithmetical Groups I. The higher Bruhat-Tits tree'', Preprint, arXiv:alg-geom/9605001 [alg-geom] (1996) Full Text: arXiv
Parshin, A. N. Vector bundles and arithmetical groups. I. (English. Russian original) Zbl 0880.20022 Proc. Steklov Inst. Math. 208, 212-233 (1995); translation from Tr. Mat. Inst. Steklova 208, 240-265 (1995). Reviewer: U.N.Bhosle (Bombay) MSC: 20E42 20G25 51E24 14F05 20E08 PDFBibTeX XMLCite \textit{A. N. Parshin}, in: Number theory, algebra and algebraic geometry. Collected papers. In honor of the seventieth birthday of Academician Igor Rostislavovich Shafarevich. Moscow: Maik Nauka/Interperiodica Publishing. 212--233 (1995; Zbl 0880.20022); translation from Tr. Mat. Inst. Steklova 208, 240--265 (1995)
Parshin, A. N. Higher Bruhat-Tits buildings and vector bundles on an algebraic surface. (English) Zbl 0832.14032 Frey, Gerhard (ed.) et al., Algebra and number theory. Proceedings of a conference held at the Institute of Experimental Mathematics, University of Essen, Germany, December 2-4, 1992. Berlin: de Gruyter. 165-192 (1994). Reviewer: U.N.Bhosle (Bombay) MSC: 14J70 14F05 20E42 PDFBibTeX XMLCite \textit{A. N. Parshin}, in: Algebra and number theory. Proceedings of a conference held at the Institute of Experimental Mathematics, University of Essen, Germany, December 2-4, 1992. Berlin: de Gruyter. 165--192 (1994; Zbl 0832.14032)
Parshin, A. N. Galois cohomology and the Brauer group of local fields. (English. Russian original) Zbl 0731.11064 Proc. Steklov Inst. Math. 183, 191-201 (1991); translation from Tr. Mat. Inst. Steklova 183, 159-169 (1990). Reviewer: K.Szymiczek (Tychy) MSC: 11S31 12G05 12G10 11S70 14F22 11S25 11S15 PDFBibTeX XMLCite \textit{A. N. Parshin}, Proc. Steklov Inst. Math. 183, 191--201 (1991; Zbl 0731.11064); translation from Tr. Mat. Inst. Steklova 183, 159--169 (1990)
Parshin, A. N. Letter to Don Zagier. (English) Zbl 0728.14009 Arithmetic algebraic geometry, Proc. Conf., Texel/Neth. 1989, Prog. Math. 89, 285-292 (1991). Reviewer: J.H.de Boer (Nijmegen) MSC: 14D10 14G10 14J20 14H25 PDFBibTeX XML
Parshin, A. N. On the application of ramified coverings in the theory of diophantine equations. (English. Russian original) Zbl 0702.14017 Math. USSR, Sb. 66, No. 1, 249-264 (1990); translation from Mat. Sb. 180, No. 2, 244-259 (1989). Reviewer: S.Kotov MSC: 14G40 14E20 14H25 14G05 11D41 PDFBibTeX XMLCite \textit{A. N. Parshin}, Math. USSR, Sb. 66, No. 1, 249--264 (1990; Zbl 0702.14017); translation from Mat. Sb. 180, No. 2, 244--259 (1989) Full Text: DOI
Parshin, A. N. Finiteness theorems and hyperbolic manifolds. (English) Zbl 0742.14018 The Grothendieck Festschrift, Collect. Artic. in Honor of the 60th Birthday of A. Grothendieck. Vol. III, Prog. Math. 88, 163-178 (1990). Reviewer: R.-P. Holzapfel (Berlin) MSC: 14G05 14H10 32Q45 14K10 32J15 PDFBibTeX XMLCite \textit{A. N. Parshin}, Prog. Math. None, 163--178 (1990; Zbl 0742.14018)
Parshin, A. N. The Bogomolov-Miyaoka-Yau inequality for the arithmetical surfaces and its applications. (English) Zbl 0706.14015 Sémin. Théor. Nombres, Paris 1986-87, Prog. Math. 75, 299-312 (1988). Reviewer: R.-P.Holzapfel MSC: 14G40 14H52 14J20 11D25 PDFBibTeX XML
Parshin, A. N. The Bogomolov-Miyaoka-Yau inequality for the arithmetical surfaces and its applications. (English) Zbl 0705.14022 Sémin. Théor. Nombres, Paris 1986-87, Prog. Math. 75, 299-312 (1988). Reviewer: U.Persson MSC: 14F45 14G05 14J25 PDFBibTeX XML
Parshin, A. N. Local class field theory. (English) Zbl 0579.12012 Proc. Steklov Inst. Math. 165, 157-185 (1985). MSC: 11S31 11S70 18F25 11T99 14F22 14G20 PDFBibTeX XMLCite \textit{A. N. Parshin}, Proc. Steklov Inst. Math. 165, 157--185 (1985; Zbl 0579.12012)
Parshin, A. N. Local class field theory. (Russian) Zbl 0535.12013 Tr. Mat. Inst. Steklova 165, 143-170 (1984). MSC: 11S31 11S70 14G20 18F25 11T99 14F22 PDFBibTeX XMLCite \textit{A. N. Parshin}, Tr. Mat. Inst. Steklova 165, 143--170 (1984; Zbl 0535.12013)
Parshin, A. N. Chern classes, adeles and L-functions. (English) Zbl 0518.14013 J. Reine Angew. Math. 341, 174-192 (1983). MSC: 14G10 14J20 57R20 11R56 PDFBibTeX XMLCite \textit{A. N. Parshin}, J. Reine Angew. Math. 341, 174--192 (1983; Zbl 0518.14013) Full Text: DOI Crelle EuDML
Parshin, A. N. Abelian coverings of arithmetic schemes. (English. Russian original) Zbl 0443.12006 Sov. Math., Dokl. 19, 1438-1442 (1978); translation from Dokl. Akad. Nauk SSSR 243, 855-858 (1978). MSC: 11S31 11S15 14A15 12G05 PDFBibTeX XMLCite \textit{A. N. Parshin}, Sov. Math., Dokl. 19, 1438--1442 (1978; Zbl 0443.12006); translation from Dokl. Akad. Nauk SSSR 243, 855--858 (1978)
Parshin, A. N. On the arithmetic of two-dimensional schemes. I: Distributions and residues. (English) Zbl 0366.14003 Math. USSR, Izv. 10(1976), 695-729 (1977). MSC: 14G99 14F10 14J20 PDFBibTeX XMLCite \textit{A. N. Parshin}, Math. USSR, Izv. 10, 695--729 (1977; Zbl 0366.14003) Full Text: DOI
Parshin, A. N. Residues and duality on algebraic surfaces. (Residuen und eine Dualität auf algebraischen Flächen.) (Russian) Zbl 0358.14013 Usp. Mat. Nauk 32, No. 2(194), 225-226 (1977). MSC: 14G99 14C35 14J20 PDFBibTeX XMLCite \textit{A. N. Parshin}, Usp. Mat. Nauk 32, No. 2(194), 225--226 (1977; Zbl 0358.14013)
Parshin, A. N. On the arithmetics of two-dimensional schemes. I: Distributions and residues. (Zur Arithmetik zweidimensionaler Schemata. I: Verteilungen und Residuen.) (Russian) Zbl 0358.14012 Izv. Akad. Nauk SSSR, Ser. Mat. 40, 736-773 (1976). Reviewer: Lucian Bădescu (Genova) MSC: 14G99 14C35 14J20 PDFBibTeX XMLCite \textit{A. N. Parshin}, Izv. Akad. Nauk SSSR, Ser. Mat. 40, 736--773 (1976; Zbl 0358.14012)
Parshin, A. N. David Hilbert und die Invariantentheorie. (Russian) Zbl 0372.01003 Istor.-Mat. Issled. 20, 171-197 (1975). MSC: 01A60 01A55 15-03 01A70 PDFBibTeX XMLCite \textit{A. N. Parshin}, Istor.-Mat. Issled. 20, 171--197 (1975; Zbl 0372.01003)
Parshin, A. N. Modular correspondences, heights and isogenies of Abelian varieties. (English) Zbl 0305.14015 Proc. Steklov Inst. Math. 132(1973), 243-270 (1975). MSC: 14K15 14D20 14G25 14E05 PDFBibTeX XMLCite \textit{A. N. Parshin}, Proc. Steklov Inst. Math. 132, 243--270 (1975; Zbl 0305.14015)
Parshin, A. N. Klassenkörper und algebraische K-Theorie. (Russian) Zbl 0302.14005 Usp. Mat. Nauk 30, No. 1(181), 253-254 (1975). MSC: 14C35 14E20 11R37 11S31 18F25 PDFBibTeX XMLCite \textit{A. N. Parshin}, Usp. Mat. Nauk 30, No. 1(181), 253--254 (1975; Zbl 0302.14005)
Parshin, A. N. Algebraic curves over functional fields with a finite field of constants. (English) Zbl 0299.14016 Math. Notes 15, 330-335 (1974). MSC: 14H25 14G15 14H05 PDFBibTeX XMLCite \textit{A. N. Parshin}, Math. Notes 15, 330--335 (1974; Zbl 0299.14016) Full Text: DOI
Parshin, A. N. Algebraische Kurven über Funktionenkörpern mit endlichem Konstantenkörper. (Russian) Zbl 0295.14015 Mat. Zametki 15, 561-570 (1974). MSC: 14H25 14H05 14G15 PDFBibTeX XMLCite \textit{A. N. Parshin}, Mat. Zametki 15, 561--570 (1974; Zbl 0295.14015)
Parshin, A. N. Modulare Korrespondenzen, Höhen und Isogenien algebraischer Mannigfaltigkeiten. (Russian) Zbl 0286.14011 Tr. Mat. Inst. Steklova 132 (Trudy mezhdunarod. Konf. Teor. Chisel, Moskva 1971), 211-236 (1973). MSC: 14K15 14D20 14G25 14E05 PDFBibTeX XML
Parshin, A. N. Arithmetic on algebraic varieties. (English) Zbl 0284.14004 J. Sov. Math. 1, 594-620 (1973). MSC: 14-03 14Gxx 12Exx 14Kxx 14L05 14H25 PDFBibTeX XMLCite \textit{A. N. Parshin}, J. Sov. Math. 1, 594--620 (1973; Zbl 0284.14004) Full Text: DOI
Parshin, A. N. Minimal models of curves of genus 2 and homomorphisms of Abelian varieties defined over a field of finite characteristic. (English) Zbl 0249.14003 Math. USSR, Izv. 6 (1972), 65-108 (1973). MSC: 14K15 14H05 14E30 PDFBibTeX XMLCite \textit{A. N. Parshin}, Math. USSR, Izv. 6, 65--108 (1973; Zbl 0249.14003) Full Text: DOI
Parshin, A. N. Minimale Modelle der Kurven vom Geschlecht 2 und Homomorphismen Abelscher Mannigfaltigkeiten, die über einem Körper endlicher Charakteristik definiert sind. (Russian) Zbl 0246.14007 Izv. Akad. Nauk SSSR, Ser. Mat. 36, 67-109 (1972). MSC: 14E30 14K15 14H05 PDFBibTeX XMLCite \textit{A. N. Parshin}, Izv. Akad. Nauk SSSR, Ser. Mat. 36, 67--109 (1972; Zbl 0246.14007)
Parshin, A. N. Die Arithmetik der algebraischen Mannigfaltigkeiten. (Russian) Zbl 0237.14001 Itogi Nauki, Ser. Mat., Algebra Topol. Geom. 1970, 111-151 (1971). MSC: 14G99 14K99 14H99 14L99 14-02 PDFBibTeX XML
Paršin, A. N. Quelques conjectures de finitude en géométrie diophantienne. (Some conjectures of finiteness in Diophantine geometry.). (French) Zbl 0224.14009 Actes Congr. internat. Math. 1970, 1, 467-471 (1971). MSC: 14G40 14G25 PDFBibTeX XML
Parshin, A. N. Isogenies and torsion of elliptic curves. (English) Zbl 0216.05901 Math. USSR, Izv. 4(1970), 415-430 (1971). MSC: 14H52 PDFBibTeX XMLCite \textit{A. N. Parshin}, Math. USSR, Izv. 4, 415--430 (1971; Zbl 0216.05901) Full Text: DOI
Parshin, A. N. Isogenien und Drehung elliptischer Kurven. (Russian) Zbl 0211.53301 Izv. Akad. Nauk SSSR, Ser. Mat. 34, 409-424 (1970). MSC: 14H52 PDFBibTeX XMLCite \textit{A. N. Parshin}, Izv. Akad. Nauk SSSR, Ser. Mat. 34, 409--424 (1970; Zbl 0211.53301)
Parshin, A. N. Algebraic curves over function fields. I. (English) Zbl 0188.53003 Math. USSR, Izv. 2(1968), 1145-1170 (1970). MSC: 14G25 14H25 14H05 PDFBibTeX XMLCite \textit{A. N. Parshin}, Math. USSR, Izv. 2, 1145--1170 (1970; Zbl 0188.53003) Full Text: DOI
Parshin, A. N. A generalization of the Jacobian variety. (English) Zbl 0189.21501 Am. Math. Soc., Transl., II. Ser. 84, 187-196 (1969). PDFBibTeX XMLCite \textit{A. N. Parshin}, Transl., Ser. 2, Am. Math. Soc. 84, 187--196 (1969; Zbl 0189.21501) Full Text: DOI
Parshin, A. N. Algebraic curves over function fields. I. (Russian) Zbl 0181.23902 Izv. Akad. Nauk SSSR, Ser. Mat. 32, 1191-1219 (1968). MSC: 14G25 14H25 14H05 PDFBibTeX XMLCite \textit{A. N. Parshin}, Izv. Akad. Nauk SSSR, Ser. Mat. 32, 1191--1219 (1968; Zbl 0181.23902)
Parshin, A. N. Algebraic curves over function fields. (English. Russian original) Zbl 0176.50903 Sov. Math., Dokl. 9, 1419-1422 (1968); translation from Dokl. Akad. Nauk SSSR 183, 524-526 (1968). PDFBibTeX XMLCite \textit{A. N. Parshin}, Sov. Math., Dokl. 9, 1419--1422 (1968; Zbl 0176.50903); translation from Dokl. Akad. Nauk SSSR 183, 524--526 (1968)
Parshin, A. N. On a certain generalization of Jacobian manifold. (Über eine Verallgemeinerung der Jacobischen Mannigfaltigkeit.) (Russian) Zbl 0163.15303 Izv. Akad. Nauk SSSR, Ser. Mat. 30, No. 1, 175-182 (1966). Reviewer: Herbert Kurke (Berlin) MSC: 14-XX PDFBibTeX XMLCite \textit{A. N. Parshin}, Izv. Akad. Nauk SSSR, Ser. Mat. 30, 175--182 (1966; Zbl 0163.15303) Full Text: MNR