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Author ID: arbarello.enrico Recent zbMATH articles by "Arbarello, Enrico"
Published as: Arbarello, Enrico; Arbarello, E.
Homepage: https://www1.mat.uniroma1.it/people/arbarello/
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Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 1,639 times in 1,395 Documents Cited by Year
Geometry of algebraic curves. Volume I. Zbl 0559.14017
Arbarello, E.; Cornalba, M.; Griffiths, P. A.; Harris, J.
818
1985
Geometry of algebraic curves. Volume II. With a contribution by Joseph Daniel Harris. Zbl 1235.14002
Arbarello, Enrico; Cornalba, Maurizio; Griffiths, Phillip A.
148
2011
Moduli spaces of curves and representation theory. Zbl 0647.17010
Arbarello, E.; De Concini, C.; Kac, V. G.; Procesi, C.
115
1988
The red book of varieties and schemes. Includes the Michigan lectures (1974) on “Curves and their Jacobians”. 2nd, expanded ed. with contributions by Enrico Arbarello. Zbl 0945.14001
Mumford, David
98
1999
Footnotes to a paper of Beniamino Segre. (The number of \(g^1_d\)’s on a general \(d\)-gonal curve, and the unirationality of the Hurwitz spaces of 4-gonal and 5-gonal curves). Zbl 0454.14023
Arbarello, Enrico; Cornalba, Maurizio
70
1981
The Picard groups of the moduli spaces of curves. Zbl 0625.14014
Arbarello, Enrico; Cornalba, Maurizio
60
1987
Su una congettura di Petri. Zbl 0505.14002
Arbarello, Enrico; Cornalba, Maurizio
59
1981
Calculating cohomology groups of moduli spaces of curves via algebraic geometry. Zbl 0991.14012
Arbarello, Enrico; Cornalba, Maurizio
55
1998
Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves. Zbl 0886.14007
Arbarello, Enrico; Cornalba, Maurizio
46
1996
Weierstrass points and moduli of curves. Zbl 0355.14013
Arbarello, Enrico
30
1974
A few remarks about the variety of irreducible plane curves of given degree and genus. Zbl 0553.14009
Arbarello, Enrico; Cornalba, Maurizio
29
1983
The infinite wedge representation and the reciprocity law for algebraic curves. Zbl 0699.22028
Arbarello, E.; De Concini, C.; Kac, V. G.
26
1989
On a set of equations characterizing Riemann matrices. Zbl 0551.14016
Arbarello, Enrico; de Concini, Corrado
20
1984
Petri’s approach to the study of the ideal associated to a special divisor. Zbl 0399.14019
Arbarello, Enrico; Sernesi, Edoardo
19
1978
Singularities of moduli spaces of sheaves on \(K3\) surfaces and Nakajima quiver varieties. Zbl 1419.14058
Arbarello, E.; Saccà, G.
16
2018
Canonical curves and quadrics of rank 4. Zbl 0494.14011
Arbarello, Enrico; Harris, Joseph
11
1981
On hyperplane sections of \(K3\) surfaces. Zbl 1403.14068
Arbarello, Enrico; Bruno, Andrea; Sernesi, Edoardo
10
2017
Explicit Brill-Noether-Petri general curves. Zbl 1354.14050
Arbarello, Enrico; Bruno, Andrea; Farkas, Gavril; Saccà, Giulia
9
2016
Mukai’s program for curves on a \(K3\) surface. Zbl 1322.14062
Arbarello, E.; Bruno, A.; Sernesi, E.
9
2014
Su una proprieta notevole dei morfismi di una curva a moduli generali in uno spazio proiettivo. Zbl 0478.14016
Arbarello, Enrico; Cornalba, Maurizio
8
1980
Another proof of a conjecture of S. P. Novikov on periods of Abelian integrals on Riemann surfaces. Zbl 0629.14022
Arbarello, Enrico; De Concini, Corrado
8
1987
The equation of a plane curve. Zbl 0417.14020
Arbarello, Enrico; Sernesi, Edoardo
8
1979
On subvarieties of the moduli space of curves of genus \(g\) defined in terms of Weierstrass points. Zbl 0435.14007
Arbarello, Enrico
7
1979
Relative Prym varieties associated to the double cover of an Enriques surface. Zbl 1362.14035
Arbarello, E.; Saccà, G.; Ferretti, A.
7
2015
Adjoint hypersurfaces to curves in \(P^ n\) following Petri. Zbl 0516.14024
Arbarello, E.; Ciliberto, C.
6
1983
Rank-two vector bundles on Halphen surfaces and the Gauss-Wahl map for du Val curves. Zbl 1368.14050
Arbarello, Enrico; Bruno, Andrea
6
2017
On the Picard group of the moduli space of algebraic curves. Zbl 0637.14019
Arbarello, Enrico
5
1986
Fay’s trisecant formula and a characterization of Jacobian varieties. Zbl 0645.14014
Arbarello, Enrico
5
1987
Jenkins - Strebel differentials. Zbl 1198.30002
Arbarello, Enrico; Cornalba, Maurizio
5
2010
Divisors in the moduli spaces of curves. Zbl 1219.14034
Arbarello, Enrico; Cornalba, Maurizio
4
2010
Characterizing Jacobians via flexes of the Kummer variety. Zbl 1098.14020
Arbarello, Enrico; Krichever, Igor; Marini, Giambattista
4
2006
Teichmüller space via Kuranishi families. Zbl 1186.30041
Arbarello, Enrico; Cornalba, Maurizio
4
2009
Sketches of KdV. Zbl 1056.14023
Arbarello, Enrico
3
2002
Geometrical aspects of the Kadomtsev-Petviashvili equation. Zbl 0726.14029
Arbarello, Enrico; De Concini, Corrado
3
1990
Two remarks on the Weierstrass flag. Zbl 1255.14021
Arbarello, Enrico; Mondello, Gabriele
2
2012
Periods of abelian integrals, theta functions, and differential equations of KdV type. Zbl 0696.14019
Arbarello, E.
2
1987
An analytical translation of a criterion of Welters and its relation with the K. P. Hierarchy. Zbl 0576.14044
Arbarello, Enrico; De Concini, Corrado
1
1985
Alcune osservazioni sui moduli delle curve appartenenti ad una data superficie algebrica. Zbl 0351.14014
Arbarello, Enrico
1
1976
Selected works of Phillip A. Griffiths with commentary. Part 1: Analytic geometry. Part 2: Algebraic geometry. Part 3: Variations of Hodge structures. Part 4: Differential systems. Edited by Maurizio Cornalba, Mark L. Green, Wilfried Schmid, Enrico Arbarello, Joe Harris, C. Herbert Clemens, David R. Morrison and Robert L. Bryant. Zbl 1045.01012
Griffiths, Phillip A.
1
2003
Singularities of moduli spaces of sheaves on \(K3\) surfaces and Nakajima quiver varieties. Zbl 1419.14058
Arbarello, E.; Saccà, G.
16
2018
On hyperplane sections of \(K3\) surfaces. Zbl 1403.14068
Arbarello, Enrico; Bruno, Andrea; Sernesi, Edoardo
10
2017
Rank-two vector bundles on Halphen surfaces and the Gauss-Wahl map for du Val curves. Zbl 1368.14050
Arbarello, Enrico; Bruno, Andrea
6
2017
Explicit Brill-Noether-Petri general curves. Zbl 1354.14050
Arbarello, Enrico; Bruno, Andrea; Farkas, Gavril; Saccà, Giulia
9
2016
Relative Prym varieties associated to the double cover of an Enriques surface. Zbl 1362.14035
Arbarello, E.; Saccà, G.; Ferretti, A.
7
2015
Mukai’s program for curves on a \(K3\) surface. Zbl 1322.14062
Arbarello, E.; Bruno, A.; Sernesi, E.
9
2014
Two remarks on the Weierstrass flag. Zbl 1255.14021
Arbarello, Enrico; Mondello, Gabriele
2
2012
Geometry of algebraic curves. Volume II. With a contribution by Joseph Daniel Harris. Zbl 1235.14002
Arbarello, Enrico; Cornalba, Maurizio; Griffiths, Phillip A.
148
2011
Jenkins - Strebel differentials. Zbl 1198.30002
Arbarello, Enrico; Cornalba, Maurizio
5
2010
Divisors in the moduli spaces of curves. Zbl 1219.14034
Arbarello, Enrico; Cornalba, Maurizio
4
2010
Teichmüller space via Kuranishi families. Zbl 1186.30041
Arbarello, Enrico; Cornalba, Maurizio
4
2009
Characterizing Jacobians via flexes of the Kummer variety. Zbl 1098.14020
Arbarello, Enrico; Krichever, Igor; Marini, Giambattista
4
2006
Selected works of Phillip A. Griffiths with commentary. Part 1: Analytic geometry. Part 2: Algebraic geometry. Part 3: Variations of Hodge structures. Part 4: Differential systems. Edited by Maurizio Cornalba, Mark L. Green, Wilfried Schmid, Enrico Arbarello, Joe Harris, C. Herbert Clemens, David R. Morrison and Robert L. Bryant. Zbl 1045.01012
Griffiths, Phillip A.
1
2003
Sketches of KdV. Zbl 1056.14023
Arbarello, Enrico
3
2002
The red book of varieties and schemes. Includes the Michigan lectures (1974) on “Curves and their Jacobians”. 2nd, expanded ed. with contributions by Enrico Arbarello. Zbl 0945.14001
Mumford, David
98
1999
Calculating cohomology groups of moduli spaces of curves via algebraic geometry. Zbl 0991.14012
Arbarello, Enrico; Cornalba, Maurizio
55
1998
Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves. Zbl 0886.14007
Arbarello, Enrico; Cornalba, Maurizio
46
1996
Geometrical aspects of the Kadomtsev-Petviashvili equation. Zbl 0726.14029
Arbarello, Enrico; De Concini, Corrado
3
1990
The infinite wedge representation and the reciprocity law for algebraic curves. Zbl 0699.22028
Arbarello, E.; De Concini, C.; Kac, V. G.
26
1989
Moduli spaces of curves and representation theory. Zbl 0647.17010
Arbarello, E.; De Concini, C.; Kac, V. G.; Procesi, C.
115
1988
The Picard groups of the moduli spaces of curves. Zbl 0625.14014
Arbarello, Enrico; Cornalba, Maurizio
60
1987
Another proof of a conjecture of S. P. Novikov on periods of Abelian integrals on Riemann surfaces. Zbl 0629.14022
Arbarello, Enrico; De Concini, Corrado
8
1987
Fay’s trisecant formula and a characterization of Jacobian varieties. Zbl 0645.14014
Arbarello, Enrico
5
1987
Periods of abelian integrals, theta functions, and differential equations of KdV type. Zbl 0696.14019
Arbarello, E.
2
1987
On the Picard group of the moduli space of algebraic curves. Zbl 0637.14019
Arbarello, Enrico
5
1986
Geometry of algebraic curves. Volume I. Zbl 0559.14017
Arbarello, E.; Cornalba, M.; Griffiths, P. A.; Harris, J.
818
1985
An analytical translation of a criterion of Welters and its relation with the K. P. Hierarchy. Zbl 0576.14044
Arbarello, Enrico; De Concini, Corrado
1
1985
On a set of equations characterizing Riemann matrices. Zbl 0551.14016
Arbarello, Enrico; de Concini, Corrado
20
1984
A few remarks about the variety of irreducible plane curves of given degree and genus. Zbl 0553.14009
Arbarello, Enrico; Cornalba, Maurizio
29
1983
Adjoint hypersurfaces to curves in \(P^ n\) following Petri. Zbl 0516.14024
Arbarello, E.; Ciliberto, C.
6
1983
Footnotes to a paper of Beniamino Segre. (The number of \(g^1_d\)’s on a general \(d\)-gonal curve, and the unirationality of the Hurwitz spaces of 4-gonal and 5-gonal curves). Zbl 0454.14023
Arbarello, Enrico; Cornalba, Maurizio
70
1981
Su una congettura di Petri. Zbl 0505.14002
Arbarello, Enrico; Cornalba, Maurizio
59
1981
Canonical curves and quadrics of rank 4. Zbl 0494.14011
Arbarello, Enrico; Harris, Joseph
11
1981
Su una proprieta notevole dei morfismi di una curva a moduli generali in uno spazio proiettivo. Zbl 0478.14016
Arbarello, Enrico; Cornalba, Maurizio
8
1980
The equation of a plane curve. Zbl 0417.14020
Arbarello, Enrico; Sernesi, Edoardo
8
1979
On subvarieties of the moduli space of curves of genus \(g\) defined in terms of Weierstrass points. Zbl 0435.14007
Arbarello, Enrico
7
1979
Petri’s approach to the study of the ideal associated to a special divisor. Zbl 0399.14019
Arbarello, Enrico; Sernesi, Edoardo
19
1978
Alcune osservazioni sui moduli delle curve appartenenti ad una data superficie algebrica. Zbl 0351.14014
Arbarello, Enrico
1
1976
Weierstrass points and moduli of curves. Zbl 0355.14013
Arbarello, Enrico
30
1974
all top 5

Cited by 1,209 Authors

67 Ballico, Edoardo
27 Keem, Changho
24 Harris, Joseph Daniel
22 Coppens, Marc
22 Martens, Gerriet
21 Ciliberto, Ciro
21 Farkas, Gavril
19 Pirola, Gian Pietro
18 Biswas, Indranil
18 Fontanari, Claudio
16 Kim, Seonja
14 Liu, Dong
13 Eisenbud, David
12 Debarre, Olivier
12 Frediani, Paola
12 Schreyer, Frank-Olaf
12 Su, Yucai
11 Knutsen, Andreas Leopold
11 Pei, Yufeng
11 Sernesi, Edoardo
11 Teixidor i Bigas, Montserrat
11 Verra, Alessandro
10 Chen, Dawei
10 Lange, Herbert
9 Arbarello, Enrico
9 Caporaso, Lucia
9 Choi, Youngook
9 Lopez, Angelo Felice
8 Castorena, Abel
8 Colombo, Elisabetta
8 Diaz, Steven P.
8 Flamini, Flaminio
8 Newstead, Peter E.
8 Pablos Romo, Fernando
8 Pardini, Rita
7 Brivio, Sonia
7 Hoff, Michael
7 Kato, Takao
7 Lazarsfeld, Robert Kendall
7 Lelli-Chiesa, Margherita
7 Möller, Martin
7 Pandharipande, Rahul
7 Torres, Fernando
6 Beauville, Arnaud
6 Bini, Gilberto
6 Casnati, Gianfranco
6 Ghigi, Alessandro
6 Green, Mark Lee
6 Grushevsky, Samuel
6 Izadi, Elham
6 Kemeny, Michael
6 Lax, Robert F.
6 Matsutani, Shigeki
6 Mullane, Scott
6 Pal, Sarbeswar
6 Previato, Emma
6 Radobolja, Gordan
6 Saccà, Giulia
6 Vidal Martins, Renato
6 Viviani, Filippo
6 Xia, Chunguang
6 Zhao, Kaiming
5 Adamović, Dražen
5 Barja, Miguel Ángel
5 Chen, Haibo
5 Chiantini, Luca
5 Cotterill, Ethan
5 Favale, Filippo Francesco
5 Griffiths, Phillip Augustus
5 Guo, Xiangqian
5 Homma, Masaaki
5 Jiang, Cuipo
5 Kim, Seon Jeong
5 Kim, Yun-Hwan
5 Krichever, Igor’ Moiseevich
5 Matthews, Gretchen L.
5 Muñoz Porras, José María
5 Ortega, Angela
5 Pflueger, Nathan
5 Romão, Nuno M.
5 Stoppino, Lidia
4 Abenda, Simonetta
4 Bardelli, Fabio
4 Bastianelli, Francesco
4 Bertola, Marco
4 Birkenhake, Christina
4 Calabri, Alberto
4 Cavalieri, Renzo
4 Chan, Melody
4 Chiarli, Nadia
4 Chipalkatti, Jaydeep V.
4 Cornalba, Maurizio
4 De Concini, Corrado
4 Decker, Wolfram
4 Dedieu, Thomas
4 Di Gennaro, Vincenzo
4 Fukasawa, Satoru
4 Galeotti, Mattia
4 Gao, Shoulan
4 Gibney, Angela
...and 1,109 more Authors
all top 5

Cited in 203 Serials

68 Transactions of the American Mathematical Society
51 Journal of Pure and Applied Algebra
51 Mathematische Annalen
49 Communications in Algebra
47 Journal of Algebra
47 Proceedings of the American Mathematical Society
44 Compositio Mathematica
44 Manuscripta Mathematica
42 Advances in Mathematics
42 Mathematische Zeitschrift
41 Duke Mathematical Journal
36 Inventiones Mathematicae
31 Geometriae Dedicata
30 Communications in Mathematical Physics
24 Archiv der Mathematik
23 International Journal of Mathematics
20 Journal of Algebraic Geometry
19 Annales de l’Institut Fourier
19 Annali di Matematica Pura ed Applicata. Serie Quarta
19 Collectanea Mathematica
17 Journal of Mathematical Physics
17 Journal of Geometry and Physics
16 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
16 Rendiconti del Circolo Matemàtico di Palermo. Serie II
15 Michigan Mathematical Journal
15 Journal of the European Mathematical Society (JEMS)
12 Israel Journal of Mathematics
11 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
11 Indagationes Mathematicae. New Series
11 Geometry & Topology
10 Selecta Mathematica. New Series
9 Bulletin de la Société Mathématique de France
9 Journal of the American Mathematical Society
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Bulletin of the American Mathematical Society. New Series
8 Letters in Mathematical Physics
8 Journal für die Reine und Angewandte Mathematik
8 European Journal of Mathematics
8 Bollettino dell’Unione Matematica Italiana
7 Mathematische Nachrichten
7 Nagoya Mathematical Journal
7 Osaka Journal of Mathematics
7 Bulletin des Sciences Mathématiques
7 Annals of Mathematics. Second Series
7 Acta Mathematica Sinica. English Series
7 Communications in Contemporary Mathematics
7 Journal of the Institute of Mathematics of Jussieu
7 Forum of Mathematics, Sigma
6 Journal of Number Theory
6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
6 Documenta Mathematica
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Tôhoku Mathematical Journal. Second Series
5 Geometric and Functional Analysis. GAFA
5 Linear Algebra and its Applications
5 Advances in Geometry
5 Central European Journal of Mathematics
5 Journal of Algebra and its Applications
4 Linear and Multilinear Algebra
4 Mathematical Notes
4 Journal of the Mathematical Society of Japan
4 Le Matematiche
4 Proceedings of the Japan Academy. Series A
4 Results in Mathematics
4 Topology and its Applications
4 Journal of Symbolic Computation
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Algebras and Representation Theory
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Frontiers of Mathematics in China
4 Science China. Mathematics
4 Research in Number Theory
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Mathematics of Computation
3 Acta Mathematica Vietnamica
3 Commentarii Mathematici Helvetici
3 Kodai Mathematical Journal
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Rendiconti del Seminario Matematico della Università di Padova
3 Chinese Annals of Mathematics. Series B
3 Revista Matemática Iberoamericana
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Designs, Codes and Cryptography
3 Experimental Mathematics
3 Journal of Mathematical Sciences (New York)
3 Finite Fields and their Applications
3 Journal of High Energy Physics
3 Journal of Nonlinear Mathematical Physics
3 Journal of the Australian Mathematical Society
3 Oberwolfach Reports
3 International Journal of Number Theory
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Proyecciones
3 Proceedings of the Steklov Institute of Mathematics
3 Algebra & Number Theory
3 Journal de l’École Polytechnique – Mathématiques
2 Indian Journal of Pure & Applied Mathematics
...and 103 more Serials
all top 5

Cited in 45 Fields

1,201 Algebraic geometry (14-XX)
132 Several complex variables and analytic spaces (32-XX)
99 Nonassociative rings and algebras (17-XX)
74 Number theory (11-XX)
63 Commutative algebra (13-XX)
62 Functions of a complex variable (30-XX)
54 Differential geometry (53-XX)
52 Quantum theory (81-XX)
43 Dynamical systems and ergodic theory (37-XX)
31 Manifolds and cell complexes (57-XX)
31 Global analysis, analysis on manifolds (58-XX)
23 Group theory and generalizations (20-XX)
20 Combinatorics (05-XX)
20 Partial differential equations (35-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
15 Associative rings and algebras (16-XX)
15 Topological groups, Lie groups (22-XX)
13 Algebraic topology (55-XX)
11 Category theory; homological algebra (18-XX)
10 Field theory and polynomials (12-XX)
10 \(K\)-theory (19-XX)
10 Computer science (68-XX)
8 History and biography (01-XX)
8 Information and communication theory, circuits (94-XX)
7 Convex and discrete geometry (52-XX)
7 Mechanics of particles and systems (70-XX)
6 Numerical analysis (65-XX)
5 Ordinary differential equations (34-XX)
5 Operator theory (47-XX)
4 General and overarching topics; collections (00-XX)
3 Special functions (33-XX)
3 Functional analysis (46-XX)
3 General topology (54-XX)
2 Abstract harmonic analysis (43-XX)
2 Geometry (51-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Relativity and gravitational theory (83-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Probability theory and stochastic processes (60-XX)
1 Fluid mechanics (76-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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