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## Faber, Carel Filip

Compute Distance To:
 Author ID: faber.carel-f Published as: Faber, C.; Faber, C. F.; Faber, Carel; Faber, Carel F. External Links: MGP
 Documents Indexed: 43 Publications since 1988, including 6 Books
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#### Co-Authors

 11 single-authored 12 Van der Geer, Gerard 8 Aluffi, Paolo 5 Pandharipande, Rahul 3 Cléry, Fabien 3 Looijenga, Eduard J. N. 2 Bergström, Jonas 2 Farkas, Gavril 1 Attaccalite, C. 1 Blase, Xavier 1 Boulanger, Philippe 1 Consani, Caterina 1 de Jong, Robin 1 Dijkgraaf, Robbert H. 1 Duchemin, Ivan 1 Oort, Frans 1 Pagani, Nicola 1 Shadrin, Sergey V. 1 Zvonkine, Dimitri
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#### Serials

 3 Annals of Mathematics. Second Series 3 Progress in Mathematics 2 Annales de l’Institut Fourier 2 Journal of Pure and Applied Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Michigan Mathematical Journal 2 IMRN. International Mathematics Research Notices 2 Selecta Mathematica. New Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 EMS Series of Congress Reports 1 Mathematics of Computation 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 International Journal of Mathematics 1 Journal of Algebraic Geometry 1 RIMS Kokyuroku 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the European Mathematical Society (JEMS) 1 Aspects of Mathematics
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#### Fields

 42 Algebraic geometry (14-XX) 10 Number theory (11-XX) 6 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

39 Publications have been cited 562 times in 381 Documents Cited by Year
Hodge integrals and Gromov-Witten theory. Zbl 0960.14031
Faber, C.; Pandharipande, R.
2000
Tautological relations and the $$r$$-spin Witten conjecture. Zbl 1203.53090
Faber, Carel; Shadrin, Sergey; Zvonkine, Dimitri
2010
Relative maps and tautological classes. Zbl 1084.14054
Faber, C.; Pandharipande, R.
2005
A conjectural description of the tautological ring of the moduli space of curves. Zbl 0978.14029
Faber, Carel
1999
Logarithmic series and Hodge integrals in the tautological ring. With an appendix by Don Zagier. Zbl 1090.14005
Faber, C.; Pandharipande, R.
2000
Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians. Zbl 0952.14042
Faber, Carel
1999
Siegel modular forms of degree three and the cohomology of local systems. Zbl 1343.11051
Bergström, Jonas; Faber, Carel; van der Geer, Gerard
2014
Hodge integrals, partition matrices, and the $$\lambda_g$$ conjecture. Zbl 1058.14046
Faber, C.; Pandharipande, R.
2003
On the cohomology of local systems on the moduli spaces of curves of genus 2 and of abelian surfaces. I. Zbl 1062.14034
Faber, Carel; van der Geer, Gerard
2004
Chow rings of moduli spaces of curves. I: The Chow ring of $$\bar {\mathcal M}_ 3$$. Zbl 0721.14013
Faber, Carel
1990
Linear orbits of $$d$$-tuples of points in $$\mathbb{P}^ 1$$. Zbl 0781.14036
Aluffi, Paolo; Faber, Carel
1993
Chow rings of moduli spaces of curves. II: Some results on the Chow ring of $$\overline{{\mathcal M}_ 4}$$. Zbl 0735.14021
Faber, Carel
1990
On the cohomology of local systems on the moduli spaces of curves of genus 2 and of Abelian surfaces. II. Zbl 1055.14026
Faber, Carel; van der Geer, Gerard
2004
Tautological and non-tautological cohomology of the moduli space of curves. Zbl 1322.14046
Faber, C.; Pandharipande, R.
2015
Siegel modular forms of genus 2 and level 2: cohomological computations and conjectures. Zbl 1210.11060
Bergström, Jonas; Faber, Carel; van der Geer, Gerard
2008
Complete subvarieties of moduli spaces and the Prym map. Zbl 1075.14023
Faber, Carel; van der Geer, Gerhard
2004
Linear orbits of smooth plane curves. Zbl 0804.14015
Aluffi, Paolo; Faber, Carel
1993
Covariants of binary sextics and vector-valued Siegel modular forms of genus two. Zbl 1427.11042
Cléry, Fabien; Faber, Carel; van der Geer, Gerard
2017
Intersection-theoretical computations on $$\overline{\mathcal M}_ g$$. Zbl 0870.14018
Faber, Carel
1996
Linear orbits of arbitrary plane curves. Zbl 1077.14561
Aluffi, Paolo; Faber, Carel
2000
Remarks on moduli of curves. Zbl 0978.14028
Faber, Carel; Looijenga, Eduard
1999
The class of the bielliptic locus in genus 3. Zbl 1329.14061
Faber, Carel; Pagani, Nicola
2015
Plane curves with small linear orbits. II. Zbl 1100.14528
Aluffi, Paolo; Faber, Carel
2000
Hodge integrals, tautological classes and Gromov-Witten theory. Zbl 1322.14084
Faber, Carel
2001
A remark on the Chern class of a tensor product. Zbl 0863.14007
Aluffi, Paolo; Faber, Carel
1995
Prym varieties of triple cyclic covers. Zbl 0628.14034
Faber, Carel
1988
Tautological algebras of moduli spaces of curves. Zbl 1275.14026
Faber, Carel
2013
Plane curves with small linear orbits. I. Zbl 0953.14030
Aluffi, Paolo; Faber, Carel
2000
Limits of PGL(3)-translates of plane curves. I. Zbl 1189.14033
Aluffi, Paolo; Faber, Carel
2010
On the cusp form motives in genus 1 and level 1. Zbl 1115.14017
Consani, Caterina; Faber, Carel
2006
Moduli of abelian varieties. Proceedings of the 3rd Texel conference, Texel Island, Netherlands, April 1999. Zbl 0958.00023
Faber, Carel (ed.); van der Geer, Gerard (ed.); Oort, Frans (ed.)
2001
The moduli space of curves. Proceedings of the conference held on Texel Island, Netherlands during the last week of April 1994. Zbl 0827.00037
Dijkgraaf, R. H. (ed.); Faber, C. F. (ed.); van der Geer, G. (ed.)
1995
Concomitants of ternary quartics and vector-valued Siegel and Teichmüller modular forms of genus three. Zbl 07229495
Cléry, Fabien; Faber, Carel; van der Geer, Gerard
2020
Covariants of binary sextics and modular forms of degree 2 with character. Zbl 07066486
Cléry, Fabien; Faber, Carel; van der Geer, Gerard
2019
A remark on a conjecture of Hain and Looijenga. Zbl 1278.14037
Faber, Carel
2011
Classification of algebraic varieties. Based on the conference on classification of varieties, Schiermonnikoog, Netherlands, May 2009. Zbl 1203.14003
Faber, Carel (ed.); van der Geer, Gerard (ed.); Looijenga, Eduard (ed.)
2011
Limits of PGL(3)-translates of plane curves. II. Zbl 1189.14034
Aluffi, Paolo; Faber, Carel
2010
Geometric part of Faltings’s proof. Zbl 0811.14023
Faber, Carel
1993
Some results on the codimension-two Chow group of the moduli space of stable curves. Zbl 0696.14004
Faber, Carel F.
1989
Concomitants of ternary quartics and vector-valued Siegel and Teichmüller modular forms of genus three. Zbl 07229495
Cléry, Fabien; Faber, Carel; van der Geer, Gerard
2020
Covariants of binary sextics and modular forms of degree 2 with character. Zbl 07066486
Cléry, Fabien; Faber, Carel; van der Geer, Gerard
2019
Covariants of binary sextics and vector-valued Siegel modular forms of genus two. Zbl 1427.11042
Cléry, Fabien; Faber, Carel; van der Geer, Gerard
2017
Tautological and non-tautological cohomology of the moduli space of curves. Zbl 1322.14046
Faber, C.; Pandharipande, R.
2015
The class of the bielliptic locus in genus 3. Zbl 1329.14061
Faber, Carel; Pagani, Nicola
2015
Siegel modular forms of degree three and the cohomology of local systems. Zbl 1343.11051
Bergström, Jonas; Faber, Carel; van der Geer, Gerard
2014
Tautological algebras of moduli spaces of curves. Zbl 1275.14026
Faber, Carel
2013
A remark on a conjecture of Hain and Looijenga. Zbl 1278.14037
Faber, Carel
2011
Classification of algebraic varieties. Based on the conference on classification of varieties, Schiermonnikoog, Netherlands, May 2009. Zbl 1203.14003
Faber, Carel (ed.); van der Geer, Gerard (ed.); Looijenga, Eduard (ed.)
2011
Tautological relations and the $$r$$-spin Witten conjecture. Zbl 1203.53090
Faber, Carel; Shadrin, Sergey; Zvonkine, Dimitri
2010
Limits of PGL(3)-translates of plane curves. I. Zbl 1189.14033
Aluffi, Paolo; Faber, Carel
2010
Limits of PGL(3)-translates of plane curves. II. Zbl 1189.14034
Aluffi, Paolo; Faber, Carel
2010
Siegel modular forms of genus 2 and level 2: cohomological computations and conjectures. Zbl 1210.11060
Bergström, Jonas; Faber, Carel; van der Geer, Gerard
2008
On the cusp form motives in genus 1 and level 1. Zbl 1115.14017
Consani, Caterina; Faber, Carel
2006
Relative maps and tautological classes. Zbl 1084.14054
Faber, C.; Pandharipande, R.
2005
On the cohomology of local systems on the moduli spaces of curves of genus 2 and of abelian surfaces. I. Zbl 1062.14034
Faber, Carel; van der Geer, Gerard
2004
On the cohomology of local systems on the moduli spaces of curves of genus 2 and of Abelian surfaces. II. Zbl 1055.14026
Faber, Carel; van der Geer, Gerard
2004
Complete subvarieties of moduli spaces and the Prym map. Zbl 1075.14023
Faber, Carel; van der Geer, Gerhard
2004
Hodge integrals, partition matrices, and the $$\lambda_g$$ conjecture. Zbl 1058.14046
Faber, C.; Pandharipande, R.
2003
Hodge integrals, tautological classes and Gromov-Witten theory. Zbl 1322.14084
Faber, Carel
2001
Moduli of abelian varieties. Proceedings of the 3rd Texel conference, Texel Island, Netherlands, April 1999. Zbl 0958.00023
Faber, Carel (ed.); van der Geer, Gerard (ed.); Oort, Frans (ed.)
2001
Hodge integrals and Gromov-Witten theory. Zbl 0960.14031
Faber, C.; Pandharipande, R.
2000
Logarithmic series and Hodge integrals in the tautological ring. With an appendix by Don Zagier. Zbl 1090.14005
Faber, C.; Pandharipande, R.
2000
Linear orbits of arbitrary plane curves. Zbl 1077.14561
Aluffi, Paolo; Faber, Carel
2000
Plane curves with small linear orbits. II. Zbl 1100.14528
Aluffi, Paolo; Faber, Carel
2000
Plane curves with small linear orbits. I. Zbl 0953.14030
Aluffi, Paolo; Faber, Carel
2000
A conjectural description of the tautological ring of the moduli space of curves. Zbl 0978.14029
Faber, Carel
1999
Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians. Zbl 0952.14042
Faber, Carel
1999
Remarks on moduli of curves. Zbl 0978.14028
Faber, Carel; Looijenga, Eduard
1999
Intersection-theoretical computations on $$\overline{\mathcal M}_ g$$. Zbl 0870.14018
Faber, Carel
1996
A remark on the Chern class of a tensor product. Zbl 0863.14007
Aluffi, Paolo; Faber, Carel
1995
The moduli space of curves. Proceedings of the conference held on Texel Island, Netherlands during the last week of April 1994. Zbl 0827.00037
Dijkgraaf, R. H. (ed.); Faber, C. F. (ed.); van der Geer, G. (ed.)
1995
Linear orbits of $$d$$-tuples of points in $$\mathbb{P}^ 1$$. Zbl 0781.14036
Aluffi, Paolo; Faber, Carel
1993
Linear orbits of smooth plane curves. Zbl 0804.14015
Aluffi, Paolo; Faber, Carel
1993
Geometric part of Faltings’s proof. Zbl 0811.14023
Faber, Carel
1993
Chow rings of moduli spaces of curves. I: The Chow ring of $$\bar {\mathcal M}_ 3$$. Zbl 0721.14013
Faber, Carel
1990
Chow rings of moduli spaces of curves. II: Some results on the Chow ring of $$\overline{{\mathcal M}_ 4}$$. Zbl 0735.14021
Faber, Carel
1990
Some results on the codimension-two Chow group of the moduli space of stable curves. Zbl 0696.14004
Faber, Carel F.
1989
Prym varieties of triple cyclic covers. Zbl 0628.14034
Faber, Carel
1988
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#### Cited by 382 Authors

 28 Pandharipande, Rahul 16 Kim, Dae San 16 Kim, Taekyun 12 Shadrin, Sergey V. 11 Van der Geer, Gerard 10 Faber, Carel Filip 10 Ruan, Yongbin 9 Buryak, Alexandr Y. 8 Aluffi, Paolo 8 Jang, Gwan-Woo 7 Cavalieri, Renzo 7 Kwon, JongKyum 7 Pixton, Aaron 7 Zhang, Youjin 7 Zvonkine, Dimitri 6 Bergström, Jonas 6 Bryan, Jim 6 Cléry, Fabien 6 Dubrovin, Boris Anatol’evich 6 Dummigan, Neil 6 Liu, Siqi 6 Pries, Rachel J. 6 Tseng, Hsian-Hua 6 Yang, Di 5 Dolgiĭ, Dmitriĭ Viktorovich 5 Fontanari, Claudio 5 Jarvis, Tyler J. 5 Liu, Kefeng 5 Liu, Xiaobo 5 Mariño, Marcos 5 Randal-Williams, Oscar 5 Rossi, Paolo 5 Vakil, Ravi 4 Bini, Gilberto 4 Chiodo, Alessandro 4 Chipalkatti, Jaydeep V. 4 Clader, Emily 4 Dunin-Barkovskiĭ, Petr Igorevich 4 Eynard, Bertrand 4 Fan, Huijun 4 Graber, Tom 4 Grushevsky, Samuel 4 Ibukiyama, Tomoyoshi 4 Klemm, Albrecht 4 Li, Jun 4 Liu, Chiu-Chu Melissa 4 Mulase, Motohico 4 Okun’kov, Andreĭ Yur’evich 4 Petersen, Dan 4 Ross, Dustin 4 Schiappa, Ricardo 4 Xu, Hao 4 Zhou, Jian 3 Brini, Andrea 3 Chen, Dawei 3 Chenevier, Gaëtan 3 Coates, Tom 3 Fulghesu, Damiano 3 Gibney, Angela 3 Goulden, Ian P. 3 Guéré, Jérémy 3 Huang, Minxin 3 Iritani, Hiroshi 3 Jackson, David M. 3 Janda, Felix 3 Katsurada, Hidenori 3 Keel, Sean 3 Lange, Herbert 3 Li, Wei-Ping 3 Oberdieck, Georg 3 Ooguri, Hirosi 3 Orantin, Nicolas 3 Ortega, Angela 3 Pagani, Nicola 3 Park, Jinwoo 3 Popolitov, Aleksandr 3 Spitz, Loek 3 Tarasca, Nicola 3 Tavakol, Mehdi 3 Toda, Yukinobu 3 Tommasi, Orsola Paola Maria 3 Vafa, Cumrun 3 Wang, Gehao 3 Zhu, Shengmao 2 Achter, Jeffrey D. 2 Aganagic, Mina 2 Alexandrov, Alexander Sergeevich 2 Borot, Gaëtan 2 Bouchard, Vincent 2 Brézin, Edouard 2 Chang, Huai-Liang 2 Chen, Bohui 2 Edelstein, José D. 2 Farkas, Gavril 2 Feigin, Evgeny 2 Galatius, Søren 2 Getzler, Ezra 2 Ghitza, Alexandru 2 Glass, Darren B. 2 Guo, Shuai ...and 282 more Authors
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#### Cited in 104 Serials

 23 Advances in Mathematics 20 Communications in Mathematical Physics 15 Geometry & Topology 13 Inventiones Mathematicae 12 Annales de l’Institut Fourier 12 Transactions of the American Mathematical Society 11 Letters in Mathematical Physics 11 Journal of High Energy Physics 10 Journal of Algebraic Geometry 9 Journal of Geometry and Physics 9 Duke Mathematical Journal 9 Journal of Pure and Applied Algebra 8 Nuclear Physics. B 8 Compositio Mathematica 8 Selecta Mathematica. New Series 7 Michigan Mathematical Journal 7 Journal of the American Mathematical Society 6 Manuscripta Mathematica 6 Mathematische Zeitschrift 6 International Journal of Mathematics 5 Publications Mathématiques 5 Journal of Number Theory 5 Journal für die Reine und Angewandte Mathematik 5 Mathematische Annalen 5 Proceedings of the American Mathematical Society 5 Journal of the European Mathematical Society (JEMS) 5 Advances in Difference Equations 5 Journal of Nonlinear Science and Applications 5 Science China. Mathematics 4 Acta Mathematica Sinica. English Series 4 Journal of the Institute of Mathematics of Jussieu 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Communications in Algebra 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Geometriae Dedicata 3 Journal of Algebra 3 Annals of Mathematics. Second Series 3 Annales Henri Poincaré 3 Japanese Journal of Mathematics. 3rd Series 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Mathematics of Computation 2 Journal of the London Mathematical Society. Second Series 2 Journal of the Mathematical Society of Japan 2 Le Matematiche 2 Nagoya Mathematical Journal 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Tohoku Mathematical Journal. Second Series 2 Bulletin of the American Mathematical Society. New Series 2 Experimental Mathematics 2 Journal de Théorie des Nombres de Bordeaux 2 Documenta Mathematica 2 The Ramanujan Journal 2 Journal of Inequalities and Applications 2 Annals of Combinatorics 2 International Journal of Number Theory 2 Kyoto Journal of Mathematics 2 Forum of Mathematics, Pi 2 Open Mathematics 2 Research in Number Theory 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Physics Letters. B 1 Reviews of Modern Physics 1 Russian Mathematical Surveys 1 Reviews in Mathematical Physics 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Journal of Symbolic Computation 1 Forum Mathematicum 1 Science in China. Series A 1 Sugaku Expositions 1 Differential Geometry and its Applications 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Indagationes Mathematicae. New Series 1 Journal of Algebraic Combinatorics 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Finite Fields and their Applications 1 Advances in Geometry 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Homotopy and Related Structures 1 Analysis and Mathematical Physics 1 Forum of Mathematics, Sigma 1 Communications in Mathematics and Statistics 1 Mathematics ...and 4 more Serials
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#### Cited in 30 Fields

 299 Algebraic geometry (14-XX) 73 Number theory (11-XX) 57 Quantum theory (81-XX) 50 Differential geometry (53-XX) 32 Dynamical systems and ergodic theory (37-XX) 29 Several complex variables and analytic spaces (32-XX) 21 Combinatorics (05-XX) 20 Manifolds and cell complexes (57-XX) 15 Nonassociative rings and algebras (17-XX) 14 Algebraic topology (55-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Group theory and generalizations (20-XX) 10 Functions of a complex variable (30-XX) 8 Partial differential equations (35-XX) 6 Commutative algebra (13-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Special functions (33-XX) 5 Relativity and gravitational theory (83-XX) 3 Category theory; homological algebra (18-XX) 3 Topological groups, Lie groups (22-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX)