## Knudsen, Finn Faye

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 Author ID: knudsen.finn-faye Published as: Knudsen, Finn F.; Knudsen, Finn Faye; Knudsen, Finn; Knudsen, F. Homepage: https://www.ntnu.edu/employees/finn.f.knudsen External Links: MGP · ResearchGate
 Documents Indexed: 13 Publications since 1972, including 1 Book Co-Authors: 7 Co-Authors with 5 Joint Publications 234 Co-Co-Authors
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### Co-Authors

 8 single-authored 2 Mumford, David Bryant 1 Brun, Viggo 1 Kempf, George R. 1 Saint-Donat, Bernard 1 Seip, Kristian 1 Skau, Ivar Henning 1 Ulanovskii, Alexander M.
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### Serials

 5 Mathematica Scandinavica 2 Fundamenta Mathematicae 1 Mathematics Magazine 1 Advances in Mathematics 1 Journal of Pure and Applied Algebra 1 Michigan Mathematical Journal 1 Normat 1 Lecture Notes in Mathematics
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### Fields

 5 Algebraic geometry (14-XX) 4 Measure and integration (28-XX) 3 Functional analysis (46-XX) 2 Number theory (11-XX) 2 Differential geometry (53-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX)

### Citations contained in zbMATH Open

10 Publications have been cited 823 times in 780 Documents Cited by Year
Toroidal embeddings. I. Zbl 0271.14017
Kempf, G.; Knudsen, F.; Mumford, D.; Saint-Donat, Bernard
1973
The projectivity of the moduli space of stable curves. I: Preliminaries on ”det” and ”Div”. Zbl 0343.14008
Knudsen, Finn; Mumford, David
1976
The projectivity of the moduli space of stable curves. II: The stacks $$M_{g,n}$$. Zbl 0544.14020
Knudsen, Finn F.
1983
The projectivity of the moduli space of stable curves. III: The line bundles on $$M_{g,n}$$, and a proof of the projectivity of $$\bar M_{g,n}$$ in characteristic 0. Zbl 0544.14021
Knudsen, Finn F.
1983
Determinant functors on exact categories and their extensions to categories of bounded complexes. Zbl 1023.18012
Knudsen, Finn F.
2002
Topology and the construction of extreme quasi-measures. Zbl 0914.28010
Knudsen, Finn F.
1996
New topological measures on the torus. Zbl 1097.28010
Knudsen, Finn F.
2005
On the asymptotic solution of a card-matching problem. Zbl 0858.05011
Knudsen, Finn F.; Skau, Ivar
1996
A closer look at the stacks of stable pointed curves. Zbl 1266.14021
Knudsen, Finn F.
2012
On the possibility of finding certain criteria for the irrationality of a number defined as a limit of a sequence of rational numbers. Zbl 0252.10030
Brun, Viggo; Knudsen, Finn Faye
1972
A closer look at the stacks of stable pointed curves. Zbl 1266.14021
Knudsen, Finn F.
2012
New topological measures on the torus. Zbl 1097.28010
Knudsen, Finn F.
2005
Determinant functors on exact categories and their extensions to categories of bounded complexes. Zbl 1023.18012
Knudsen, Finn F.
2002
Topology and the construction of extreme quasi-measures. Zbl 0914.28010
Knudsen, Finn F.
1996
On the asymptotic solution of a card-matching problem. Zbl 0858.05011
Knudsen, Finn F.; Skau, Ivar
1996
The projectivity of the moduli space of stable curves. II: The stacks $$M_{g,n}$$. Zbl 0544.14020
Knudsen, Finn F.
1983
The projectivity of the moduli space of stable curves. III: The line bundles on $$M_{g,n}$$, and a proof of the projectivity of $$\bar M_{g,n}$$ in characteristic 0. Zbl 0544.14021
Knudsen, Finn F.
1983
The projectivity of the moduli space of stable curves. I: Preliminaries on ”det” and ”Div”. Zbl 0343.14008
Knudsen, Finn; Mumford, David
1976
Toroidal embeddings. I. Zbl 0271.14017
Kempf, G.; Knudsen, F.; Mumford, D.; Saint-Donat, Bernard
1973
On the possibility of finding certain criteria for the irrationality of a number defined as a limit of a sequence of rational numbers. Zbl 0252.10030
Brun, Viggo; Knudsen, Finn Faye
1972
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### Cited by 814 Authors

 11 Abramovich, Dan 10 Bismut, Jean-Michel 8 Brion, Michel 8 Langlois, Kevin 8 Nicaise, Johannes 7 Altmann, Klaus 7 Renner, Lex E. 7 Soulé, Christophe 7 Ulirsch, Martin 6 Cavalieri, Renzo 6 Gillet, Henri A. 6 Liendo, Alvaro 6 Ma, Xiaonan 6 Mochizuki, Shinichi 6 Temkin, Michael 5 Biswas, Indranil 5 Boucksom, Sébastien 5 Burns, David John 5 Hassett, Brendan 5 Jonsson, Mattias 5 Lan, Kai-Wen 5 Saito, Takeshi 5 Siebert, Bernd 4 Bost, Jean-Benoît 4 Dais, Dimitrios I. 4 Freixas i Montplet, Gerard 4 Gonzalez-Sprinberg, Gérard 4 Ishida, Masanori 4 Kovács, Sándor J. 4 Lieblich, Max David 4 Melo, Margarida 4 Pappas, Georgios 4 Plaza Martín, Francisco José 4 Procesi, Claudio 4 Ranganathan, Dhruv 4 Viehweg, Eckart 4 Wewers, Stefan 4 Wise, Jonathan 3 Blume, Mark 3 Brylinski, Jean-Luc 3 Butler, Svetlana V. 3 Catanese, Fabrizio M. E. 3 Chen, Qile 3 Chinburg, Ted 3 Cox, David A. 3 Cupit-Foutou, Stéphanie 3 de Jong, Aise Johan 3 Eriksson, Dennis 3 González Pérez, Pedro Daniel 3 Gross, Mark 3 Gubeladze, Joseph 3 Hain, Richard M. 3 Hausen, Jürgen 3 Henk, Martin 3 Joyce, Dominic David 3 Kapranov, Mikhail M. 3 Kato, Kazuya 3 Khovanskiĭ, Askold Georgievich 3 Kondō, Shigeyuki 3 Kraft, Hanspeter 3 Kuyumzhiyan, Karine 3 Li, Jun 3 Marcus, Steffen 3 Markwig, Hannah 3 Matsumoto, Makoto 3 Mustaţă, Mircea 3 Nakajima, Haruhisa 3 Nakayama, Chikara 3 Odaka, Yuji 3 Ogata, Shoetsu 3 Oka, Mutsuo 3 Pablos Romo, Fernando 3 Pagani, Nicola 3 Pauly, Christian 3 Piltant, Olivier 3 Pinkham, Henry C. 3 Pries, Rachel J. 3 Rustad, Alf Birger 3 Schumacher, Georg 3 Stroh, Benoît 3 Tankeev, Sergeĭ Gennad’evich 3 Taylor, Martin J. 3 Tommasi, Orsola Paola Maria 3 Trihan, Fabien 3 Upmeier, Markus 3 Van der Kallen, Wilberd 3 Venjakob, Otmar 3 Xu, Chenyang 3 Yoshikawa, Ken-Ichi 3 Zapolsky, Frol 3 Ziegler, Günter Matthias 2 Abe, Takeshi 2 Achter, Jeffrey D. 2 Agustin Vicente, Marta 2 Ahmadian, Razieh 2 Aizenbud, Avraham 2 Alexeev, Valery A. 2 Ambro, Florin 2 Andersen, Henning Haahr 2 Anderson, Greg W. ...and 714 more Authors
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### Cited in 150 Serials

 48 Inventiones Mathematicae 38 Duke Mathematical Journal 38 Mathematische Annalen 37 Advances in Mathematics 35 Compositio Mathematica 33 Journal of Algebra 26 Tohoku Mathematical Journal. Second Series 25 Annales de l’Institut Fourier 25 Transactions of the American Mathematical Society 22 Journal of Pure and Applied Algebra 16 Journal of Algebraic Geometry 15 Communications in Mathematical Physics 15 Mathematische Zeitschrift 15 Journal of the American Mathematical Society 12 Proceedings of the American Mathematical Society 12 Selecta Mathematica. New Series 11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 10 Manuscripta Mathematica 10 Annals of Mathematics. Second Series 9 Bulletin de la Société Mathématique de France 8 Nagoya Mathematical Journal 8 Publications of the Research Institute for Mathematical Sciences, Kyoto University 8 International Journal of Mathematics 7 Israel Journal of Mathematics 7 Michigan Mathematical Journal 7 Transformation Groups 7 Geometry & Topology 7 European Journal of Mathematics 6 Journal of Number Theory 6 Kodai Mathematical Journal 6 Proceedings of the Japan Academy. Series A 6 Journal of the Institute of Mathematics of Jussieu 5 Communications in Algebra 5 Journal of Geometry and Physics 5 Publications Mathématiques 5 Bulletin of the American Mathematical Society. New Series 5 Journal of High Energy Physics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Forum of Mathematics, Sigma 5 Journal de l’École Polytechnique – Mathématiques 4 Mathematical Notes 4 Acta Mathematica 4 Journal für die Reine und Angewandte Mathematik 4 Mathematische Nachrichten 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Izvestiya: Mathematics 4 Kyoto Journal of Mathematics 3 Journal of Mathematical Physics 3 Arkiv för Matematik 3 Functional Analysis and its Applications 3 Geometriae Dedicata 3 Journal of Functional Analysis 3 Journal of the Mathematical Society of Japan 3 Topology and its Applications 3 Journal of Symbolic Computation 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Mémoires de la Société Mathématique de France. Nouvelle Série 3 Expositiones Mathematicae 3 Indagationes Mathematicae. New Series 3 Journal of Mathematical Sciences (New York) 3 Journal of the European Mathematical Society (JEMS) 3 International Journal of Number Theory 3 Bulletin of the American Mathematical Society 3 Algebra & Number Theory 2 Journal of Mathematical Analysis and Applications 2 Letters in Mathematical Physics 2 Beiträge zur Algebra und Geometrie 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Collectanea Mathematica 2 Integral Equations and Operator Theory 2 Journal of the London Mathematical Society. Second Series 2 Le Matematiche 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Siberian Mathematical Journal 2 Advances in Applied Mathematics 2 Discrete & Computational Geometry 2 IMRN. International Mathematics Research Notices 2 Geometric and Functional Analysis. GAFA 2 Journal of Algebraic Combinatorics 2 The Electronic Journal of Combinatorics 2 Documenta Mathematica 2 Acta Mathematica Sinica. English Series 2 Portugaliae Mathematica. Nova Série 2 Central European Journal of Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Research in the Mathematical Sciences 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Glasgow Mathematical Journal 1 Hiroshima Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Geometry 1 Journal of Soviet Mathematics 1 Journal of Statistical Planning and Inference ...and 50 more Serials
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### Cited in 42 Fields

 620 Algebraic geometry (14-XX) 123 Several complex variables and analytic spaces (32-XX) 109 Number theory (11-XX) 57 Group theory and generalizations (20-XX) 53 Commutative algebra (13-XX) 50 Global analysis, analysis on manifolds (58-XX) 43 Differential geometry (53-XX) 41 Convex and discrete geometry (52-XX) 26 Manifolds and cell complexes (57-XX) 26 Quantum theory (81-XX) 23 $$K$$-theory (19-XX) 21 Category theory; homological algebra (18-XX) 18 Nonassociative rings and algebras (17-XX) 17 Algebraic topology (55-XX) 13 Associative rings and algebras (16-XX) 13 Topological groups, Lie groups (22-XX) 13 Functions of a complex variable (30-XX) 11 Combinatorics (05-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Field theory and polynomials (12-XX) 9 Measure and integration (28-XX) 8 Functional analysis (46-XX) 5 Special functions (33-XX) 5 Partial differential equations (35-XX) 5 Operator theory (47-XX) 5 Geometry (51-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Numerical analysis (65-XX) 4 Relativity and gravitational theory (83-XX) 3 Mathematical logic and foundations (03-XX) 3 General topology (54-XX) 3 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX)