Edit Profile (opens in new tab) Pukhlikov, Aleksandr Valentinovich Co-Author Distance Author ID: pukhlikov.aleksandr-v Published as: Pukhlikov, A. V.; Pukhlikov, Aleksandr V.; Pukhlikov, Aleksandr; Pukhlikov, Alexander V. more...less Homepage: http://www.liv.ac.uk/mathematical-sciences/staff/aleksandr-pukhlikov/ External Links: ResearchGate · Math-Net.Ru Documents Indexed: 128 Publications since 1986, including 3 Books and 7 Additional arXiv Preprints Co-Authors: 19 Co-Authors with 17 Joint Publications 711 Co-Co-Authors all top 5 Co-Authors 108 single-authored 4 Khovanskiĭ, Askold Georgievich 4 Propoi, Anatoli I. 3 Reid, Miles 2 Campana, Frédéric 2 Evans, Daniel J. 2 Iskovskikh, Vasiliĭ Alekseevich 2 Kulikov, Viktor Stepanovich 2 Manin, Yuriĭ Ivanovich 2 Nikulin, Vyacheslav Valentinovich 2 Parshin, Alekseĭ Nikolaevich 2 Peternell, Thomas Martin 2 Prokhorov, Yuriĭ Gennad’evich 2 Shafarevich, Igor’ Rostislavovich 2 Shokurov, Vyacheslav Vladimirovich 1 Bogomolov, Fedor Alekseivich 1 Corti, Alessio 1 Kostrikin, Alekseĭ Ivanovich 1 Orlov, Dmitri O. 1 Tyurin, Andreĭ Nikolaevich all top 5 Serials 11 Izvestiya: Mathematics 10 Doklady Mathematics 9 Sbornik: Mathematics 8 Russian Mathematical Surveys 7 Automation and Remote Control 6 Mathematical Notes 6 Differential Equations 6 Proceedings of the Steklov Institute of Mathematics 5 Journal of Mathematical Sciences (New York) 3 Moscow University Mathematics Bulletin 3 Computational Mathematics and Modeling 3 Arnold Mathematical Journal 3 European Journal of Mathematics 2 Functional Analysis and its Applications 2 Inventiones Mathematicae 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 St. Petersburg Mathematical Journal 2 Integral Transforms and Special Functions 2 Differential Equations 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematische Annalen 1 Mathematics of the USSR. Izvestiya 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Bulletin of the Korean Mathematical Society 1 Algebra i Analiz 1 Mathematics of the USSR, Sbornik 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Doklady Akademii Nauk 1 Physics-Doklady 1 Documenta Mathematica 1 Fundamental’naya i Prikladnaya Matematika 1 Journal of Dynamical and Control Systems 1 Moscow Mathematical Journal 1 Pure and Applied Mathematics Quarterly 1 Mathematical Surveys and Monographs 1 Épijournal de Géométrie Algébrique. EPIGA all top 5 Fields 94 Algebraic geometry (14-XX) 18 Systems theory; control (93-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Ordinary differential equations (34-XX) 4 Convex and discrete geometry (52-XX) 3 Mechanics of particles and systems (70-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Integral transforms, operational calculus (44-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Operations research, mathematical programming (90-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 84 Publications have been cited 698 times in 251 Documents Cited by ▼ Year ▼ A Riemann-Roch theorem for integrals and sums of quasipolynomials over virtual polytopes. Zbl 0798.52010 Pukhlikov, A. V.; Khovanskii, A. G. 59 1992 Birational automorphisms of Fano hypersurfaces. Zbl 0964.14011 Pukhlikov, Aleksandr V. 48 1998 Fano 3-fold hypersurfaces. Zbl 0960.14020 Corti, Alessio; Pukhlikov, Aleksandr; Reid, Miles 39 2000 Birationally rigid varieties. Zbl 1297.14001 Pukhlikov, Aleksandr 39 2013 Birational geometry of Fano direct products. Zbl 1119.14011 Pukhlikov, A. V. 31 2005 Birational automorphisms of multidimensional algebraic manifolds. Zbl 0917.14007 Iskovskikh, V. A.; Pukhlikov, A. V. 28 1996 Birationally rigid Fano complete intersections. Zbl 1037.14004 Pukhlikov, A. V. 27 2001 Birationally rigid Fano hypersurfaces. Zbl 1083.14012 Pukhlikov, A. V. 25 2002 Finitely additive measures of virtual polytopes. Zbl 0791.52010 Pukhlikov, A. V.; Khovanskij, A. G. 23 1992 Birational isomorphisms of four-dimensional quintics. Zbl 0613.14011 Pukhlikov, A. V. 21 1987 Finitely additive measures of virtual polytopes. Zbl 0778.52006 Pukhlikov, A. V.; Khovanskij, A. G. 19 1992 Birational automorphisms of algebraic threefolds with a pencil of Del Pezzo surfaces. Zbl 0948.14008 Pukhlikov, A. V. 18 1998 Birationally rigid Fano fibre spaces. II. Zbl 1335.14004 Pukhlikov, A. V. 16 2015 Essentials of the method of maximal singularities. Zbl 0961.14008 Pukhlikov, Aleksandr V. 14 2000 Birationally rigid varieties. I: Fano varieties. Zbl 1174.14013 Pukhlikov, A. V. 13 2007 Birational geometry of algebraic varieties with a pencil of Fano complete intersections. Zbl 1135.14032 Pukhlikov, Aleksandr V. 13 2006 On the locus of nonrigid hypersurfaces. Zbl 1327.14191 Eckl, Thomas; Pukhlikov, Aleksandr 12 2014 Birational geometry of Fano hypersurfaces of index two. Zbl 1387.14112 Pukhlikov, Aleksandr V. 12 2016 Birationally rigid Fano hypersurfaces with isolated singularities. Zbl 1024.14005 Pukhlikov, A. V. 11 2002 Birationally rigid Fano double hypersurfaces. Zbl 1004.14009 Pukhlikov, A. V. 10 2000 Birationally rigid Fano iterated double coverings. Zbl 1084.14014 Pukhlikov, A. V. 10 2003 Birational automorphisms of a three-dimensional quartic with a quadratic singularity. Zbl 0668.14007 Pukhlikov, A. V. 9 1989 Birational automorphisms of a double space and double quadric. Zbl 0704.14008 Pukhlikov, A. V. 9 1989 Birational geometry of algebraic varieties with a pencil of Fano cyclic covers. Zbl 1185.14009 Pukhlikov, A. V. 9 2009 The \(4n^2\)-inequality for complete intersection singularities. Zbl 1390.14108 Pukhlikov, Aleksandr V. 8 2017 Birationally rigid complete intersections of quadrics and cubics. Zbl 1405.14039 Pukhlikov, A. V. 8 2013 Birational geometry of Fano double spaces of index two. Zbl 1220.14014 Pukhlikov, A. V. 8 2010 Birationally rigid Fano fibrations. Zbl 1005.14005 Pukhlikov, A. V. 6 2000 Birational geometry of algebraic varieties fibred into Fano double spaces. Zbl 1452.14044 Pukhlikov, Aleksandr V. 6 2017 Birational geometry of singular Fano varieties. Zbl 1312.14097 Pukhlikov, A. V. 6 2009 Birational geometry of singular Fano hypersurfaces of index two. Zbl 1504.14024 Pukhlikov, A. V. 6 2020 Birationally rigid Fano complete intersections. II. Zbl 1304.14016 Pukhlikov, Aleksandr V. 6 2014 Birationally rigid complete intersections of codimension two. Zbl 1401.14073 Evans, Daniel; Pukhlikov, Aleksandr 6 2017 Birational automorphisms of a three-dimensional quartic with an elementary singularity. Zbl 0655.14006 Pukhlikov, A. V. 5 1988 Birationally rigid varieties with a pencil of Fano double covers. II. Zbl 1092.14021 Pukhlikov, A. V. 5 2004 Integral transforms based on Euler characteristic and their applications. Zbl 0824.57017 Khovanskij, Askol’d G.; Pukhlikov, Alexander V. 5 1993 Canonical and log canonical thresholds of Fano complete intersections. Zbl 1390.14047 Pukhlikov, Aleksandr V. 5 2018 Birational automorphisms of double spaces with singularities. Zbl 0931.14006 Pukhlikov, A. V. 5 1997 Birationally rigid singular Fano hypersurfaces. Zbl 1071.14042 Pukhlikov, A. V. 5 2003 Birationally rigid complete intersections with a singular point of high multiplicity. Zbl 1421.14005 Pukhlikov, A. V. 5 2019 Birationally rigid Fano varieties. Zbl 1072.14050 Pukhlikov, Aleksandr V. 4 2004 On the global log canonical threshold of Fano complete intersections. Zbl 1362.14041 Eckl, Thomas; Pukhlikov, Aleksandr 4 2016 Canonical and log canonical thresholds of multiple projective spaces. Zbl 1473.14022 Pukhlikov, Aleksandr V. 4 2021 Birationally rigid finite covers of the projective space. Zbl 1442.14044 Pukhlikov, A. V. 4 2019 Birational automorphisms of Fano varieties. Zbl 0939.14023 Iskovskikh, V. A.; Pukhlikov, A. V. 3 1993 Birational automorphisms of higher-dimensional algebraic varieties. Zbl 0919.14007 Pukhlikov, Aleksandr V. 3 1998 Fiber-wise birational correspondences. Zbl 1042.14003 Pukhlikov, A. V. 3 2000 Hamiltonian structures in optimal control theory. Zbl 0997.37026 Pukhlikov, A. V. 3 1995 Fredholm’s determinants and the Newton method in distribution control problems. Zbl 0932.93091 Pukhlikov, A. V. 3 1996 Generalized Tsen theorem and rationally connected Fano fibrations. Zbl 1080.14535 Campana, F.; Peternell, T.; Pukhlikov, A. V. 3 2002 Maximal singularities on the Fano variety \(V^ 3_ 6\). Zbl 0724.14027 Pukhlikov, A. V. 3 1989 On the multiplicity of solutions of a system of algebraic equations. Zbl 1310.14016 Pukhlikov, A. V. 3 2012 Rationally connected rational double covers of primitive Fano varieties. (Revêtements rationnels doubles rationnellement connexes des variétés de Fano primitives.) Zbl 1455.14025 Pukhlikov, Aleksandr V. 3 2020 Birationally rigid varieties with a pencil of Fano double covers. III. Zbl 1134.14301 Pukhlikov, A. V. 2 2006 Existence of the Kähler-Einstein metric on certain Fano complete intersections. Zbl 1244.14029 Pukhlikov, A. V. 2 2010 A remark on the theorem on a three-dimensional quartic. Zbl 0880.14020 Pukhlikov, A. V. 2 1995 Rational curves with prescribed branches. Zbl 0885.14014 Pukhlikov, A. V. 2 1995 The Liouville theorem in optimal control problems. Zbl 0861.70017 Pukhlikov, A. V. 2 1994 Birational geometry of higher-dimensional Fano varieties. Zbl 1371.14049 Pukhlikov, A. V. 2 2015 \(K\)-trivial structures on Fano complete intersections. Zbl 1297.14048 Pukhlikov, A. V. 2 2012 Effective birational rigidity of Fano double hypersurfaces. Zbl 1436.14030 Eckl, Thomas; Pukhlikov, Aleksandr 2 2018 Singularities of algebraic subvarieties and problems of birational geometry. Zbl 1223.14015 Pukhlikov, A. V. 2 2009 Remarks on Galois rational coverings. Zbl 1468.14028 Pukhlikov, A. V. 2 2021 Birational geometry of Fano double covers. Zbl 1259.14044 Pukhlikov, A. V. 2 2008 Automorphisms of certain affine complements in projective space. Zbl 1439.14052 Pukhlikov, Aleksandr V. 2 2018 Birational geometry of singular Fano double spaces of index two. Zbl 1473.14023 Pukhlikov, Aleksandr V. 2 2021 Birationally rigid complete intersections of high codimension. Zbl 1427.14033 Evans, Daniel; Pukhlikov, A. V. 2 2019 Birationally rigid varieties. II. Fano fibre spaces. Zbl 1218.14009 Pukhlikov, A. V. 1 2010 Optimal bilinear systems on the plane. Zbl 0984.34050 Pukhlikov, A. V. 1 1998 The Poisson theorem in optimal control problems. Zbl 0815.49002 Pukhlikov, A. V. 1 1993 A Gauss-Ostrogradskii theorem for integral transforms over the Euler characteristic. Zbl 1050.58013 Pukhlikov, Aleksandr V. 1 2000 Discrete maximum principle. Zbl 0965.49019 Pukhlikov, A. V. 1 1998 Integral representations in the theory of discrete controllable systems. Zbl 1050.93502 Pukhlikov, A. V. 1 1997 Integral transformations in the theory of controllable dynamic systems. Zbl 1050.93503 Pukhlikov, A. V. 1 1997 Certain examples of birationally rigid varieties with a pencil of double quadrics. Zbl 0972.14009 Pukhlikov, A. V. 1 1999 Birational automorphisms of Fano hypersurfaces with singularities. Zbl 1060.14019 Pukhlikov, A. V. 1 2002 Optimal control of distributions. Zbl 1087.49021 Pukhlikov, A. V. 1 2004 Birational geometry of higher-dimensional Fano hypersurfaces. Zbl 1170.14301 Pukhlikov, A. V. 1 2002 Birational automorphisms of the four-dimensional quintic. Zbl 0604.14026 Pukhlikov, A. V. 1 1986 Birationally rigid varieties with a pencil of Fano double covers. I. Zbl 1072.14016 Pukhlikov, A. V. 1 2004 Birational automorphisms of algebraic varieties with a pencil of Fano double covers. Zbl 1064.14042 Pukhlikov, A. V. 1 2002 Discontinuous dynamical systems in optimal control theory. Zbl 1070.49015 Pukhlikov, A. V. 1 2001 Birational geometry of varieties fibred into complete intersections of codimension two. Zbl 1502.14035 Pukhlikov, A. V. 1 2022 On the self-intersection of a movable linear system. Zbl 1288.14010 Pukhlikov, A. V. 1 2010 Birational geometry of varieties fibred into complete intersections of codimension two. Zbl 1502.14035 Pukhlikov, A. V. 1 2022 Canonical and log canonical thresholds of multiple projective spaces. Zbl 1473.14022 Pukhlikov, Aleksandr V. 4 2021 Remarks on Galois rational coverings. Zbl 1468.14028 Pukhlikov, A. V. 2 2021 Birational geometry of singular Fano double spaces of index two. Zbl 1473.14023 Pukhlikov, Aleksandr V. 2 2021 Birational geometry of singular Fano hypersurfaces of index two. Zbl 1504.14024 Pukhlikov, A. V. 6 2020 Rationally connected rational double covers of primitive Fano varieties. (Revêtements rationnels doubles rationnellement connexes des variétés de Fano primitives.) Zbl 1455.14025 Pukhlikov, Aleksandr V. 3 2020 Birationally rigid complete intersections with a singular point of high multiplicity. Zbl 1421.14005 Pukhlikov, A. V. 5 2019 Birationally rigid finite covers of the projective space. Zbl 1442.14044 Pukhlikov, A. V. 4 2019 Birationally rigid complete intersections of high codimension. Zbl 1427.14033 Evans, Daniel; Pukhlikov, A. V. 2 2019 Canonical and log canonical thresholds of Fano complete intersections. Zbl 1390.14047 Pukhlikov, Aleksandr V. 5 2018 Effective birational rigidity of Fano double hypersurfaces. Zbl 1436.14030 Eckl, Thomas; Pukhlikov, Aleksandr 2 2018 Automorphisms of certain affine complements in projective space. Zbl 1439.14052 Pukhlikov, Aleksandr V. 2 2018 The \(4n^2\)-inequality for complete intersection singularities. Zbl 1390.14108 Pukhlikov, Aleksandr V. 8 2017 Birational geometry of algebraic varieties fibred into Fano double spaces. Zbl 1452.14044 Pukhlikov, Aleksandr V. 6 2017 Birationally rigid complete intersections of codimension two. Zbl 1401.14073 Evans, Daniel; Pukhlikov, Aleksandr 6 2017 Birational geometry of Fano hypersurfaces of index two. Zbl 1387.14112 Pukhlikov, Aleksandr V. 12 2016 On the global log canonical threshold of Fano complete intersections. Zbl 1362.14041 Eckl, Thomas; Pukhlikov, Aleksandr 4 2016 Birationally rigid Fano fibre spaces. II. Zbl 1335.14004 Pukhlikov, A. V. 16 2015 Birational geometry of higher-dimensional Fano varieties. Zbl 1371.14049 Pukhlikov, A. V. 2 2015 On the locus of nonrigid hypersurfaces. Zbl 1327.14191 Eckl, Thomas; Pukhlikov, Aleksandr 12 2014 Birationally rigid Fano complete intersections. II. Zbl 1304.14016 Pukhlikov, Aleksandr V. 6 2014 Birationally rigid varieties. Zbl 1297.14001 Pukhlikov, Aleksandr 39 2013 Birationally rigid complete intersections of quadrics and cubics. Zbl 1405.14039 Pukhlikov, A. V. 8 2013 On the multiplicity of solutions of a system of algebraic equations. Zbl 1310.14016 Pukhlikov, A. V. 3 2012 \(K\)-trivial structures on Fano complete intersections. Zbl 1297.14048 Pukhlikov, A. V. 2 2012 Birational geometry of Fano double spaces of index two. Zbl 1220.14014 Pukhlikov, A. V. 8 2010 Existence of the Kähler-Einstein metric on certain Fano complete intersections. Zbl 1244.14029 Pukhlikov, A. V. 2 2010 Birationally rigid varieties. II. Fano fibre spaces. Zbl 1218.14009 Pukhlikov, A. V. 1 2010 On the self-intersection of a movable linear system. Zbl 1288.14010 Pukhlikov, A. V. 1 2010 Birational geometry of algebraic varieties with a pencil of Fano cyclic covers. Zbl 1185.14009 Pukhlikov, A. V. 9 2009 Birational geometry of singular Fano varieties. Zbl 1312.14097 Pukhlikov, A. V. 6 2009 Singularities of algebraic subvarieties and problems of birational geometry. Zbl 1223.14015 Pukhlikov, A. V. 2 2009 Birational geometry of Fano double covers. Zbl 1259.14044 Pukhlikov, A. V. 2 2008 Birationally rigid varieties. I: Fano varieties. Zbl 1174.14013 Pukhlikov, A. V. 13 2007 Birational geometry of algebraic varieties with a pencil of Fano complete intersections. Zbl 1135.14032 Pukhlikov, Aleksandr V. 13 2006 Birationally rigid varieties with a pencil of Fano double covers. III. Zbl 1134.14301 Pukhlikov, A. V. 2 2006 Birational geometry of Fano direct products. Zbl 1119.14011 Pukhlikov, A. V. 31 2005 Birationally rigid varieties with a pencil of Fano double covers. II. Zbl 1092.14021 Pukhlikov, A. V. 5 2004 Birationally rigid Fano varieties. Zbl 1072.14050 Pukhlikov, Aleksandr V. 4 2004 Optimal control of distributions. Zbl 1087.49021 Pukhlikov, A. V. 1 2004 Birationally rigid varieties with a pencil of Fano double covers. I. Zbl 1072.14016 Pukhlikov, A. V. 1 2004 Birationally rigid Fano iterated double coverings. Zbl 1084.14014 Pukhlikov, A. V. 10 2003 Birationally rigid singular Fano hypersurfaces. Zbl 1071.14042 Pukhlikov, A. V. 5 2003 Birationally rigid Fano hypersurfaces. Zbl 1083.14012 Pukhlikov, A. V. 25 2002 Birationally rigid Fano hypersurfaces with isolated singularities. Zbl 1024.14005 Pukhlikov, A. V. 11 2002 Generalized Tsen theorem and rationally connected Fano fibrations. Zbl 1080.14535 Campana, F.; Peternell, T.; Pukhlikov, A. V. 3 2002 Birational automorphisms of Fano hypersurfaces with singularities. Zbl 1060.14019 Pukhlikov, A. V. 1 2002 Birational geometry of higher-dimensional Fano hypersurfaces. Zbl 1170.14301 Pukhlikov, A. V. 1 2002 Birational automorphisms of algebraic varieties with a pencil of Fano double covers. Zbl 1064.14042 Pukhlikov, A. V. 1 2002 Birationally rigid Fano complete intersections. Zbl 1037.14004 Pukhlikov, A. V. 27 2001 Discontinuous dynamical systems in optimal control theory. Zbl 1070.49015 Pukhlikov, A. V. 1 2001 Fano 3-fold hypersurfaces. Zbl 0960.14020 Corti, Alessio; Pukhlikov, Aleksandr; Reid, Miles 39 2000 Essentials of the method of maximal singularities. Zbl 0961.14008 Pukhlikov, Aleksandr V. 14 2000 Birationally rigid Fano double hypersurfaces. Zbl 1004.14009 Pukhlikov, A. V. 10 2000 Birationally rigid Fano fibrations. Zbl 1005.14005 Pukhlikov, A. V. 6 2000 Fiber-wise birational correspondences. Zbl 1042.14003 Pukhlikov, A. V. 3 2000 A Gauss-Ostrogradskii theorem for integral transforms over the Euler characteristic. Zbl 1050.58013 Pukhlikov, Aleksandr V. 1 2000 Certain examples of birationally rigid varieties with a pencil of double quadrics. Zbl 0972.14009 Pukhlikov, A. V. 1 1999 Birational automorphisms of Fano hypersurfaces. Zbl 0964.14011 Pukhlikov, Aleksandr V. 48 1998 Birational automorphisms of algebraic threefolds with a pencil of Del Pezzo surfaces. Zbl 0948.14008 Pukhlikov, A. V. 18 1998 Birational automorphisms of higher-dimensional algebraic varieties. Zbl 0919.14007 Pukhlikov, Aleksandr V. 3 1998 Optimal bilinear systems on the plane. Zbl 0984.34050 Pukhlikov, A. V. 1 1998 Discrete maximum principle. Zbl 0965.49019 Pukhlikov, A. V. 1 1998 Birational automorphisms of double spaces with singularities. Zbl 0931.14006 Pukhlikov, A. V. 5 1997 Integral representations in the theory of discrete controllable systems. Zbl 1050.93502 Pukhlikov, A. V. 1 1997 Integral transformations in the theory of controllable dynamic systems. Zbl 1050.93503 Pukhlikov, A. V. 1 1997 Birational automorphisms of multidimensional algebraic manifolds. Zbl 0917.14007 Iskovskikh, V. A.; Pukhlikov, A. V. 28 1996 Fredholm’s determinants and the Newton method in distribution control problems. Zbl 0932.93091 Pukhlikov, A. V. 3 1996 Hamiltonian structures in optimal control theory. Zbl 0997.37026 Pukhlikov, A. V. 3 1995 A remark on the theorem on a three-dimensional quartic. Zbl 0880.14020 Pukhlikov, A. V. 2 1995 Rational curves with prescribed branches. Zbl 0885.14014 Pukhlikov, A. V. 2 1995 The Liouville theorem in optimal control problems. Zbl 0861.70017 Pukhlikov, A. V. 2 1994 Integral transforms based on Euler characteristic and their applications. Zbl 0824.57017 Khovanskij, Askol’d G.; Pukhlikov, Alexander V. 5 1993 Birational automorphisms of Fano varieties. Zbl 0939.14023 Iskovskikh, V. A.; Pukhlikov, A. V. 3 1993 The Poisson theorem in optimal control problems. Zbl 0815.49002 Pukhlikov, A. V. 1 1993 A Riemann-Roch theorem for integrals and sums of quasipolynomials over virtual polytopes. Zbl 0798.52010 Pukhlikov, A. V.; Khovanskii, A. G. 59 1992 Finitely additive measures of virtual polytopes. Zbl 0791.52010 Pukhlikov, A. V.; Khovanskij, A. G. 23 1992 Finitely additive measures of virtual polytopes. Zbl 0778.52006 Pukhlikov, A. V.; Khovanskij, A. G. 19 1992 Birational automorphisms of a three-dimensional quartic with a quadratic singularity. Zbl 0668.14007 Pukhlikov, A. V. 9 1989 Birational automorphisms of a double space and double quadric. Zbl 0704.14008 Pukhlikov, A. V. 9 1989 Maximal singularities on the Fano variety \(V^ 3_ 6\). Zbl 0724.14027 Pukhlikov, A. V. 3 1989 Birational automorphisms of a three-dimensional quartic with an elementary singularity. Zbl 0655.14006 Pukhlikov, A. V. 5 1988 Birational isomorphisms of four-dimensional quintics. Zbl 0613.14011 Pukhlikov, A. V. 21 1987 Birational automorphisms of the four-dimensional quintic. Zbl 0604.14026 Pukhlikov, A. V. 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 216 Authors 40 Pukhlikov, Aleksandr Valentinovich 24 Cheltsov, Ivan Anatol’evich 13 Okada, Takuzo 10 Park, Jihun 8 Prokhorov, Yuriĭ Gennad’evich 7 Shramov, Konstantin Aleksandrovich 6 Abban, Hamid 6 Khovanskiĭ, Askold Georgievich 6 Won, Joonyeong 5 Dubouloz, Adrien 5 Kishimoto, Takashi 5 Papadakis, Stavros Argyrios 4 Alesker, Semyon 4 Brown, Gavin Dennis 4 de Fernex, Tommaso 4 Panina, Gaiane Yu. 4 Zhuang, Ziquan 3 Auel, Asher Natan 3 Beck, Matthias 3 Karshon, Yael 3 Kaveh, Kiumars 3 Krylov, Igor 3 Lasserre, Jean-Bernard 3 Leĭnartas, Evgeniĭ Konstantinovich 3 Lenz, Matthias 3 Robins, Sinai 3 Shishkina, Ol’ga Andreevna 3 Sternberg, Shlomo 3 Zucconi, Francesco 2 Aĭzenberg, Anton Andreevich 2 Bernardara, Marcello 2 Campo, Livia 2 Chandragiri, Sreelatha 2 Chen, Nathan 2 Evans, Daniel J. 2 Fatighenti, Enrico 2 Feĭgin, Boris L’vovich 2 Gravin, Nick 2 Grinenko, Mikhail M. 2 Iskovskikh, Vasiliĭ Alekseevich 2 Jochemko, Katharina Victoria 2 Kaloghiros, Anne-Sophie 2 Kim, In-Kyun 2 Kollár, János 2 Lyapin, Alexander Petrovich 2 Makhlin, Igor 2 Monin, Leonid V. 2 Pasechnik, Dmitrii V. 2 Schneider, Rolf G. 2 Silverstein, Laura 2 Stapleton, David P. 2 Suzuki, Fumiaki 2 Vergne, Michèle 2 Weitsman, Jonathan 2 Zaidenberg, Mikhail G. 1 Agapito, José 1 Akopyan, Arseniy V. 1 Alexandrov, Victor A. 1 Altmann, Klaus 1 Asgari, Mahdi 1 Bárány, Imre 1 Batyrev, Victor V. 1 Beauville, Arnaud 1 Berg, Sören Lennart 1 Bershteĭn, Mikhaĭl Aleksandrovich 1 Blanc, Jérémy 1 Böhning, Christian 1 Bolognesi, Michele 1 Boukraa, Salah 1 Boysal, Arzu 1 Brandolini, Luca 1 Bukhshtaber, Viktor Matveevich 1 Cano, Leonardo 1 Castravet, Ana-Maria 1 Chen, Jheng-Jie 1 Chen, Jungkai Alfred 1 Chen, Meng 1 Chen, Yifei 1 Chernyshev, Vsevolod L. 1 Cho, Mi Ju 1 Choi, Sung Rak 1 Colzani, Leonardo 1 Cutrone, Joseph W. 1 Demailly, Jean-Pierre 1 Dhillon, Gurbir 1 Diaz, Rafael E. 1 Diaz, Ricardo L. 1 Dinu, Rodica 1 Duarte Guerreiro, Tiago 1 Dukkipati, Ambedkar 1 Duncan, Alexander 1 Ein, Lawrence Man Hon 1 Engel, Konrad 1 Eur, Christopher 1 Fedorchuk, Maksym 1 Fillastre, François 1 Fink, Alex 1 Fischer, Benjamin P. 1 Fontanari, Claudio 1 Foord, Dominic ...and 116 more Authors all top 5 Cited in 101 Serials 15 Proceedings of the Steklov Institute of Mathematics 11 Advances in Mathematics 10 Mathematical Notes 10 European Journal of Mathematics 9 Journal of Algebraic Geometry 9 Journal of Mathematical Sciences (New York) 9 Selecta Mathematica. New Series 7 Duke Mathematical Journal 5 Compositio Mathematica 5 Nagoya Mathematical Journal 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Izvestiya: Mathematics 5 Central European Journal of Mathematics 5 Arnold Mathematical Journal 4 Geometriae Dedicata 4 Mathematische Zeitschrift 4 Discrete & Computational Geometry 4 Journal of Siberian Federal University. Mathematics & Physics 3 Functional Analysis and its Applications 3 Journal für die Reine und Angewandte Mathematik 3 Manuscripta Mathematica 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Advances in Applied Mathematics 3 Bulletin of the Korean Mathematical Society 3 Sbornik: Mathematics 2 Israel Journal of Mathematics 2 Russian Mathematical Surveys 2 Journal of Geometry and Physics 2 Annales de l’Institut Fourier 2 Journal of Algebra 2 Journal of the London Mathematical Society. Second Series 2 Journal of Number Theory 2 Journal of Pure and Applied Algebra 2 Mathematische Annalen 2 Michigan Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 Transactions of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Oberwolfach Reports 2 Algebra & Number Theory 1 Journal of Mathematical Physics 1 The Mathematical Intelligencer 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica 1 American Journal of Mathematics 1 Automatica 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Dissertationes Mathematicae 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series A 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 European Journal of Combinatorics 1 Physica D 1 International Journal of Mathematics 1 Computational Mathematics and Modeling 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Algebraic Combinatorics 1 Russian Journal of Mathematical Physics 1 St. Petersburg Mathematical Journal 1 Journal of Inverse and Ill-Posed Problems 1 Integral Transforms and Special Functions 1 Journal of Difference Equations and Applications 1 The Journal of Fourier Analysis and Applications 1 Documenta Mathematica 1 Doklady Mathematics 1 Journal of Dynamical and Control Systems 1 Differential Equations 1 Advances in Geometry 1 Moscow Mathematical Journal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Algebra and its Applications 1 Discrete Optimization 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Journal of Fixed Point Theory and Applications 1 Optimization Letters 1 Applicable Analysis and Discrete Mathematics 1 Science China. Mathematics 1 Kyoto Journal of Mathematics 1 Analysis and Mathematical Physics 1 Mathematical Control and Related Fields 1 Forum of Mathematics, Sigma 1 EMS Surveys in Mathematical Sciences 1 AIMS Mathematics 1 Peking Mathematical Journal 1 Constructive Mathematical Analysis ...and 1 more Serials all top 5 Cited in 41 Fields 187 Algebraic geometry (14-XX) 56 Convex and discrete geometry (52-XX) 21 Combinatorics (05-XX) 18 Commutative algebra (13-XX) 15 Differential geometry (53-XX) 13 Number theory (11-XX) 13 Several complex variables and analytic spaces (32-XX) 8 Numerical analysis (65-XX) 6 Group theory and generalizations (20-XX) 6 Manifolds and cell complexes (57-XX) 5 Associative rings and algebras (16-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 4 Integral transforms, operational calculus (44-XX) 4 Algebraic topology (55-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Nonassociative rings and algebras (17-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Quantum theory (81-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 \(K\)-theory (19-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year