Edit Profile (opens in new tab) Achilles, Rüdiger Compute Distance To: Compute Author ID: achilles.rudiger Published as: Achilles, Rüdiger; Achilles, R.; Achilles, Ruediger External Links: MGP · ORCID Documents Indexed: 29 Publications since 1979 Co-Authors: 14 Co-Authors with 28 Joint Publications 244 Co-Co-Authors all top 5 Co-Authors 1 single-authored 13 Manaresi, Mirella 5 Schenzel, Peter 4 Vogel, Wolfgang 2 Bonfiglioli, Andrea 2 Stückrad, Jürgen 1 Aliffi, Davide 1 Avramov, Luchezar L. 1 Huneke, Craig L. 1 Katriel, Jacob 1 Pruschke, Thilo 1 Rams, Sławomir 1 Schmidt, Rolf 1 Tworzewski, Piotr 1 Winiarski, Tadeusz all top 5 Serials 2 Journal of Algebra 2 Journal of Mathematics of Kyoto University 2 Mathematische Nachrichten 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Archive for History of Exact Sciences 1 Periodica Mathematica Hungarica 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Beiträge zur Algebra und Geometrie 1 Annales Polonici Mathematici 1 Archiv der Mathematik 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Nagoya Mathematical Journal 1 Rendiconti del Seminario Matematico 1 Forum Mathematicum 1 Bulletin de la Société Mathématique de Belgique. Série A 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Seminari di Geometria. Universitá degli Studi di Bologna 1 Electronic Research Announcements in Mathematical Sciences all top 5 Fields 26 Algebraic geometry (14-XX) 21 Commutative algebra (13-XX) 5 Several complex variables and analytic spaces (32-XX) 2 Associative rings and algebras (16-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 117 times in 84 Documents Cited by ▼ Year ▼ Multiplicity for ideals of maximal analytic spread and intersection theory. Zbl 0816.13019Achilles, Rüdiger; Manaresi, Mirella 25 1993 Multiplicities of a bigraded ring and intersection theory. Zbl 0894.14005Achilles, R.; Manaresi, M. 22 1997 Über vollständige Durchschnitte in lokalen Ringen. Zbl 0416.13015Achilles, Rüdiger; Vogel, Wolfgang 11 1979 Intersection numbers, Segre numbers and generalized Samuel multiplicities. Zbl 1032.13012Achilles, Rüdiger; Rams, Sławomir 9 2001 On improper isolated intersection in complex analytic geometry. Zbl 0796.32006Achilles, R.; Tworzewski, P.; Winiarski, T. 8 1990 A criterion for intersection multiplicity one. Zbl 0597.14008Achilles, Rüdiger; Huneke, Craig; Vogel, Wolfgang 6 1985 The early proofs of the theorem of Campbell, Baker, Hausdorff, and Dynkin. Zbl 1245.01002Achilles, Rüdiger; Bonfiglioli, Andrea 6 2012 An algebraic characterization of distinguished varieties of intersection. Zbl 0807.14003Achilles, Rüdiger; Manaresi, Mirella 5 1993 Bemerkungen über normale Flachheit und normale Torsionsfreiheit und Anwendungen. Zbl 0431.13007Achilles, R.; Schenzel, P.; Vogel, W. 4 1981 Generalized Samuel multiplicities and applications. Zbl 1183.13038Achilles, R.; Manaresi, M. 3 2006 Relations between properties of a ring and of its associated graded ring. Zbl 0509.13027Achilles, Ruediger; Avramov, Luchezar L. 3 1982 The \(q\)-deformed Campbell-Baker-Hausdorff-Dynkin theorem. Zbl 1332.05020Katriel, Jacob; Bonfiglioli, Andrea; Achilles, Rüdiger 2 2015 A degree bound for the defining equations of one-dimensional tangent cones. Zbl 0526.14016Achilles, Ruediger; Schenzel, Peter 2 1982 A degree formula for secant varieties of curves. Zbl 1300.14032Achilles, Rüdiger; Manaresi, Mirella; Schenzel, Peter 2 2014 On bounds for Castelnuovo’s index of regularity. Zbl 0698.14055Achilles, Rüdiger; Schenzel, Peter 2 1989 On the intersection multiplicty of improper components in algebraic geometry. Zbl 0631.14002Achilles, Rüdiger 1 1985 On the computation of the Stückrad-Vogel cycle by analytic spread and minimal reductions. Zbl 0814.14005Achilles, Rüdiger; Aliffi, Davide 1 1993 On multiplicities for improper intersections. Zbl 0814.14045Achilles, Rüdiger; Vogel, Wolfgang 1 1994 Multiplicities for improper intersections of analytic subsets. Zbl 0785.32005Achilles, R.; Manaresi, M. 1 1990 Remarks on the Cayley-van der Waerden-Chow form. Zbl 1177.14091Achilles, Rüdiger; Stückrad, Jürgen 1 2007 Computing the number of apparent double points of a surface. Zbl 1327.14244Achilles, R.; Manaresi, M. 1 2013 On the self-intersection cycle of surfaces and some classical formulas for their secant varieties. Zbl 1230.14006Achilles, Rüdiger; Manaresi, Mirella; Schenzel, Peter 1 2011 The \(q\)-deformed Campbell-Baker-Hausdorff-Dynkin theorem. Zbl 1332.05020Katriel, Jacob; Bonfiglioli, Andrea; Achilles, Rüdiger 2 2015 A degree formula for secant varieties of curves. Zbl 1300.14032Achilles, Rüdiger; Manaresi, Mirella; Schenzel, Peter 2 2014 Computing the number of apparent double points of a surface. Zbl 1327.14244Achilles, R.; Manaresi, M. 1 2013 The early proofs of the theorem of Campbell, Baker, Hausdorff, and Dynkin. Zbl 1245.01002Achilles, Rüdiger; Bonfiglioli, Andrea 6 2012 On the self-intersection cycle of surfaces and some classical formulas for their secant varieties. Zbl 1230.14006Achilles, Rüdiger; Manaresi, Mirella; Schenzel, Peter 1 2011 Remarks on the Cayley-van der Waerden-Chow form. Zbl 1177.14091Achilles, Rüdiger; Stückrad, Jürgen 1 2007 Generalized Samuel multiplicities and applications. Zbl 1183.13038Achilles, R.; Manaresi, M. 3 2006 Intersection numbers, Segre numbers and generalized Samuel multiplicities. Zbl 1032.13012Achilles, Rüdiger; Rams, Sławomir 9 2001 Multiplicities of a bigraded ring and intersection theory. Zbl 0894.14005Achilles, R.; Manaresi, M. 22 1997 On multiplicities for improper intersections. Zbl 0814.14045Achilles, Rüdiger; Vogel, Wolfgang 1 1994 Multiplicity for ideals of maximal analytic spread and intersection theory. Zbl 0816.13019Achilles, Rüdiger; Manaresi, Mirella 25 1993 An algebraic characterization of distinguished varieties of intersection. Zbl 0807.14003Achilles, Rüdiger; Manaresi, Mirella 5 1993 On the computation of the Stückrad-Vogel cycle by analytic spread and minimal reductions. Zbl 0814.14005Achilles, Rüdiger; Aliffi, Davide 1 1993 On improper isolated intersection in complex analytic geometry. Zbl 0796.32006Achilles, R.; Tworzewski, P.; Winiarski, T. 8 1990 Multiplicities for improper intersections of analytic subsets. Zbl 0785.32005Achilles, R.; Manaresi, M. 1 1990 On bounds for Castelnuovo’s index of regularity. Zbl 0698.14055Achilles, Rüdiger; Schenzel, Peter 2 1989 A criterion for intersection multiplicity one. Zbl 0597.14008Achilles, Rüdiger; Huneke, Craig; Vogel, Wolfgang 6 1985 On the intersection multiplicty of improper components in algebraic geometry. Zbl 0631.14002Achilles, Rüdiger 1 1985 Relations between properties of a ring and of its associated graded ring. Zbl 0509.13027Achilles, Ruediger; Avramov, Luchezar L. 3 1982 A degree bound for the defining equations of one-dimensional tangent cones. Zbl 0526.14016Achilles, Ruediger; Schenzel, Peter 2 1982 Bemerkungen über normale Flachheit und normale Torsionsfreiheit und Anwendungen. Zbl 0431.13007Achilles, R.; Schenzel, P.; Vogel, W. 4 1981 Über vollständige Durchschnitte in lokalen Ringen. Zbl 0416.13015Achilles, Rüdiger; Vogel, Wolfgang 11 1979 all cited Publications top 5 cited Publications all top 5 Cited by 99 Authors 7 Ngô Viêt Trung 6 Achilles, Rüdiger 6 Manaresi, Mirella 6 Vogel, Wolfgang 6 Wulcan, Elizabeth 5 Andersson, Mats 5 Terai, Naoki 4 Rinaldo, Giancarlo 4 Samuelsson, Hakan 4 Spodzieja, Stanisław 4 Ulrich, Bernd 4 Validashti, Javid 4 Xie, Yu 3 Bonfiglioli, Andrea 3 Cid-Ruiz, Yairon 3 Flenner, Hubert 3 Polini, Claudia 3 Rodak, Tomasz 3 Różycki, Adam 3 Schenzel, Peter 3 Yger, Alain 3 Yoshida, Ken-ichi 2 Callejas-Bedregal, Roberto 2 Ciuperca, Catalin 2 Denkowski, Maciej P. 2 Eriksson, Dennis 2 Goto, Shiro 2 Jorge Pérez, Victor Hugo 2 Katriel, Jacob 2 Montaño, Jonathan 2 Nagel, Uwe 2 Nguyen Cong Minh 2 Solčan, Štefan 2 Stückrad, Jürgen 2 Van-Brunt, Alexander 2 Vasconcelos, Wolmer V. 2 Visser, Matt 1 Alilooee, Ali 1 Andersson, Matts 1 Anick, David J. 1 Bernardi, Alessandra 1 Biagi, Stefano 1 Białożyt, Adam 1 Błocki, Zbigniew 1 Boda, Eduard 1 Bravetti, Alessandro 1 Bresinsky, Henrik 1 Cattaneo, Andrea 1 Chardin, Marc 1 Constantinescu, Alexandru 1 Crupi, Marilena 1 Cygan, Ewa 1 Daleo, Noah S. 1 De Concini, Corrado 1 Eisenbud, David 1 Ene, Viviana 1 Epstein, Neil 1 Fröb, Markus B. 1 Garcia-Chung, Angel 1 Hauenstein, Jonathan D. 1 Hong, Jooyoun 1 Iarrobino, Anthony A. 1 Jeffries, Jack 1 Katz, Daniel 1 Kurdyka, Krzysztof 1 Kustin, Andrew R. 1 Lê Tuâń Hoa 1 Mafi, Amir 1 Mantero, Paolo 1 Matone, Marco 1 Mourrain, Bernard 1 Mukundan, Vivek 1 Naderi, Dler 1 Nishida, Koji 1 O’Carroll, Liam 1 Osińska, Beata 1 Penna, Vittorio 1 Pham, Thuy Huong 1 Pournaki, Mohammad Reza 1 Procesi, Claudio 1 Pruschke, Thilo 1 Raffa, Francesco A. 1 Rasetti, Mario 1 Renschuch, Bodo 1 Robbiano, Lorenzo 1 Seyed Fakhari, Seyed Amin 1 Simis, Aron 1 Soprunov, Ivan 1 Sturmfels, Bernd 1 Szlachcińska, Anna 1 Takayama, Yukihide 1 Tapias, Diego 1 Tworzewski, Piotr 1 van Gastel, Leendert J. 1 Varbaro, Matteo 1 Verma, Jugal Kishore 1 Vinai, Natale Paolo 1 Yao, Yongwei 1 Yassemi, Siamak all top 5 Cited in 43 Serials 8 Journal of Algebra 7 Journal of Pure and Applied Algebra 5 Mathematische Annalen 5 Proceedings of the American Mathematical Society 4 Manuscripta Mathematica 4 Transactions of the American Mathematical Society 4 Bulletin des Sciences Mathématiques 3 Communications in Algebra 3 Mathematische Zeitschrift 2 Rocky Mountain Journal of Mathematics 2 Collectanea Mathematica 2 Mathematische Nachrichten 2 Mathematica Slovaca 2 Nagoya Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Journal of Commutative Algebra 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. A 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annales Polonici Mathematici 1 Compositio Mathematica 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Bulletin of the Korean Mathematical Society 1 Discrete & Computational Geometry 1 Forum Mathematicum 1 Differential Geometry and its Applications 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Journal of Algebraic Combinatorics 1 Advances in Geometry 1 Journal of Physics A: Mathematical and Theoretical 1 Electronic Research Announcements in Mathematical Sciences 1 Advances in Mathematical Physics 1 Mathematics 1 European Journal of Mathematics all top 5 Cited in 19 Fields 56 Commutative algebra (13-XX) 39 Algebraic geometry (14-XX) 16 Several complex variables and analytic spaces (32-XX) 5 Nonassociative rings and algebras (17-XX) 4 Combinatorics (05-XX) 4 Quantum theory (81-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Associative rings and algebras (16-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year