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## Iarrobino, Anthony A.

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 Author ID: iarrobino.anthony-a Published as: Iarrobino, A.; Iarrobino, Anthony; Iarrobino, Anthony A.; Iarrobino, Anthony jun.; Iarrobino, Antonio
 Documents Indexed: 44 Publications since 1972, including 3 Books
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#### Co-Authors

 22 single-authored 4 Khatami, Leila 3 Marques, Pedro Macias 2 Basili, Roberta 2 Cho, Younghyun 2 Emsalem, Jacques 2 McDaniel, Chris 1 Altafi, Nasrin 1 Altman, Allen B. 1 Bernstein, David H. 1 Boij, Mats 1 Briançon, Joël 1 Chen, Shujian 1 Cox, David A. 1 D’Cruz, Clare 1 Elias, Jebin 1 Kanev, Vassil 1 Kleiman, Steven Lawrence 1 Srinivasan, Hema 1 Van Steirteghem, Bart 1 Yaméogo, Joachim 1 Zhao, Rui
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#### Serials

 12 Journal of Algebra 3 Journal of Pure and Applied Algebra 2 Communications in Algebra 2 Compositio Mathematica 2 Memoirs of the American Mathematical Society 1 Linear and Multilinear Algebra 1 Inventiones Mathematicae 1 Topology 1 Transactions of the American Mathematical Society 1 Computer Aided Geometric Design 1 Linear Algebra and its Applications 1 Journal of Algebraic Combinatorics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Bulletin of the American Mathematical Society 1 Lecture Notes in Mathematics 1 Journal of Commutative Algebra
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#### Fields

 34 Commutative algebra (13-XX) 32 Algebraic geometry (14-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX)

#### Citations contained in zbMATH Open

39 Publications have been cited 793 times in 492 Documents Cited by Year
Power sums, Gorenstein algebras, and determinantal loci. With an appendix ‘The Gotzmann theorems and the Hilbert scheme’ by Anthony Iarrobino and Steven L. Kleiman. Zbl 0942.14026
Iarrobino, Anthony; Kanev, Vassil
1999
Compressed algebras: Artin algebras having given socle degrees and maximal length. Zbl 0548.13009
Iarrobino, Anthony
1984
Punctual Hilbert schemes. Zbl 0355.14001
Iarrobino, Anthony A.
1977
Reducibility of the families of O-dimensional schemes on a variety. Zbl 0227.14006
Iarrobino, A.
1972
Associated graded algebra of a Gorenstein Artin algebra. Zbl 0793.13010
Iarrobino, Anthony A.
1994
A nonunimodal graded Gorenstein Artin algebra in codimension five. Zbl 0761.13001
Bernstein, David; Iarrobino, Anthony
1992
Inverse system of a symbolic power. III: Thin algebras and fat points. Zbl 0899.13016
Iarrobino, A.
1997
Irreducibility of the compactified Jacobian. Zbl 0415.14014
Altman, Allen B.; Iarrobino, Anthony; Kleiman, Steven L.
1977
Some zero-dimensional generic singularities; finite algebras having small tangent space. Zbl 0393.14002
Iarrobino, A.; Emsalem, J.
1978
Inverse system of a symbolic power. I. Zbl 0842.14002
Emsalem, J.; Iarrobino, A.
1995
Hilbert functions and level algebras. Zbl 1094.13521
Cho, Young Hyun; Iarrobino, Anthony
2001
Artinian Gorenstein algebras of embedding dimension four: components of $$\mathbb P$$Gor$$(H)$$ for $$H=(1,4,7,\ldots,1)$$. Zbl 1107.13020
Iarrobino, Anthony; Srinivasan, Hema
2005
Inverse system of a symbolic power. II: The Waring problem for forms. Zbl 0842.11016
Iarrobino, A.
1995
Hilbert scheme of points: Overview of last ten years. Zbl 0646.14002
Iarrobino, A.
1987
Pairs of commuting nilpotent matrices, and Hilbert function. Zbl 1194.14011
Basili, Roberta; Iarrobino, Anthony
2008
Ancestor ideals of vector spaces of forms, and level algebras. Zbl 1119.13015
Iarrobino, Anthony
2004
Punctual Hilbert schemes. Zbl 0267.14005
Iarrobino, A.
1972
The family $$G_t$$ of graded Artinian quotients of $$k[ x, y ]$$ of given Hilbert function. Zbl 1048.14003
Iarrobino, Anthony; Yaméogo, Joachim
2003
The Hilbert function of a Cohen-Macaulay local algebra: Extremal Gorenstein algebras. Zbl 0628.13016
Elias, J.; Iarrobino, A.
1987
Dimension of the punctual Hilbert scheme. Zbl 0402.14003
Briancon, J.; Iarrobino, A.
1978
An algebraic fibre bundle over P$$_1$$ that is not a vector bundle. Zbl 0268.14005
Iarrobino, A.
1973
Inverse systems of zero-dimensional schemes in $$\mathbb P^n$$. Zbl 1262.14068
Cho, Young Hyun; Iarrobino, Anthony
2012
Hilbert functions of Gorenstein algebras associated to a pencil of forms. Zbl 1101.13024
Iarrobino, Anthony
2005
Betti strata of height two ideals. Zbl 1095.13014
Iarrobino, Anthony
2005
Commuting nilpotent matrices and Artinian algebras. Zbl 1237.15013
Basili, Roberta; Iarrobino, Anthony; Khatami, Leila
2010
Deforming complete intersection Artin algebras. Appendix: Hilbert function of $${\mathbb{C}}[x,y]/I$$. Zbl 0563.13010
Iarrobino, Anthony
1983
Reducible family of height three level algebras. Zbl 1165.13009
Boij, Mats; Iarrobino, Anthony
2009
Bound on the Jordan type of a generic nilpotent matrix commuting with a given matrix. Zbl 1286.15021
Iarrobino, Anthony; Khatami, Leila
2013
Compressed algebras and components of the punctual Hilbert scheme. Zbl 0567.14001
Iarrobino, Anthony jun.
1985
Complete intersection Jordan types in height two. Zbl 1440.13084
Altafi, Nasrin; Iarrobino, Anthony; Khatami, Leila
2020
Free extensions and Jordan type. Zbl 07163957
Iarrobino, Anthony; Macias Marques, Pedro; McDaniel, Chris
2020
Strata of rational space curves. Zbl 1417.14009
Cox, David A.; Iarrobino, Anthony A.
2015
Strata of vector spaces of forms in $${R = \mathsf k[x, y]}$$, and of rational curves in $${\mathbb{P}^k}$$. Zbl 1317.14026
Iarrobino, Anthony
2014
Tangent cone of a Gorenstein singularity. Zbl 0624.13020
Iarrobino, Anthony
1986
The number of generic singularities. Zbl 0272.14002
Iarrobino, A.
1973
Nilpotent matrices having a given Jordan type as maximum commuting nilpotent orbit. Zbl 1388.15015
Iarrobino, Anthony; Khatami, Leila; Van Steirteghem, Bart; Zhao, Rui
2018
High-order vanishing ideals at $$n+3$$ points of $$\mathbb{P}^n$$. Zbl 0971.14038
D’Cruz, Clare; Iarrobino, Anthony
2000
Gorenstein Artin algebras, additive decompositions of forms and the punctual Hilbert scheme. Zbl 0954.13009
Iarrobino, Anthony A.
1999
Deformations of zero-dimensional complete intersections. (After M. Granger, T. Gaffney). Appendix: Global Hilbert scheme Hilb Pr. (After G. Gotzmann). Zbl 0479.14008
Iarrobino, Antonio
1981
Complete intersection Jordan types in height two. Zbl 1440.13084
Altafi, Nasrin; Iarrobino, Anthony; Khatami, Leila
2020
Free extensions and Jordan type. Zbl 07163957
Iarrobino, Anthony; Macias Marques, Pedro; McDaniel, Chris
2020
Nilpotent matrices having a given Jordan type as maximum commuting nilpotent orbit. Zbl 1388.15015
Iarrobino, Anthony; Khatami, Leila; Van Steirteghem, Bart; Zhao, Rui
2018
Strata of rational space curves. Zbl 1417.14009
Cox, David A.; Iarrobino, Anthony A.
2015
Strata of vector spaces of forms in $${R = \mathsf k[x, y]}$$, and of rational curves in $${\mathbb{P}^k}$$. Zbl 1317.14026
Iarrobino, Anthony
2014
Bound on the Jordan type of a generic nilpotent matrix commuting with a given matrix. Zbl 1286.15021
Iarrobino, Anthony; Khatami, Leila
2013
Inverse systems of zero-dimensional schemes in $$\mathbb P^n$$. Zbl 1262.14068
Cho, Young Hyun; Iarrobino, Anthony
2012
Commuting nilpotent matrices and Artinian algebras. Zbl 1237.15013
Basili, Roberta; Iarrobino, Anthony; Khatami, Leila
2010
Reducible family of height three level algebras. Zbl 1165.13009
Boij, Mats; Iarrobino, Anthony
2009
Pairs of commuting nilpotent matrices, and Hilbert function. Zbl 1194.14011
Basili, Roberta; Iarrobino, Anthony
2008
Artinian Gorenstein algebras of embedding dimension four: components of $$\mathbb P$$Gor$$(H)$$ for $$H=(1,4,7,\ldots,1)$$. Zbl 1107.13020
Iarrobino, Anthony; Srinivasan, Hema
2005
Hilbert functions of Gorenstein algebras associated to a pencil of forms. Zbl 1101.13024
Iarrobino, Anthony
2005
Betti strata of height two ideals. Zbl 1095.13014
Iarrobino, Anthony
2005
Ancestor ideals of vector spaces of forms, and level algebras. Zbl 1119.13015
Iarrobino, Anthony
2004
The family $$G_t$$ of graded Artinian quotients of $$k[ x, y ]$$ of given Hilbert function. Zbl 1048.14003
Iarrobino, Anthony; Yaméogo, Joachim
2003
Hilbert functions and level algebras. Zbl 1094.13521
Cho, Young Hyun; Iarrobino, Anthony
2001
High-order vanishing ideals at $$n+3$$ points of $$\mathbb{P}^n$$. Zbl 0971.14038
D’Cruz, Clare; Iarrobino, Anthony
2000
Power sums, Gorenstein algebras, and determinantal loci. With an appendix ‘The Gotzmann theorems and the Hilbert scheme’ by Anthony Iarrobino and Steven L. Kleiman. Zbl 0942.14026
Iarrobino, Anthony; Kanev, Vassil
1999
Gorenstein Artin algebras, additive decompositions of forms and the punctual Hilbert scheme. Zbl 0954.13009
Iarrobino, Anthony A.
1999
Inverse system of a symbolic power. III: Thin algebras and fat points. Zbl 0899.13016
Iarrobino, A.
1997
Inverse system of a symbolic power. I. Zbl 0842.14002
Emsalem, J.; Iarrobino, A.
1995
Inverse system of a symbolic power. II: The Waring problem for forms. Zbl 0842.11016
Iarrobino, A.
1995
Associated graded algebra of a Gorenstein Artin algebra. Zbl 0793.13010
Iarrobino, Anthony A.
1994
A nonunimodal graded Gorenstein Artin algebra in codimension five. Zbl 0761.13001
Bernstein, David; Iarrobino, Anthony
1992
Hilbert scheme of points: Overview of last ten years. Zbl 0646.14002
Iarrobino, A.
1987
The Hilbert function of a Cohen-Macaulay local algebra: Extremal Gorenstein algebras. Zbl 0628.13016
Elias, J.; Iarrobino, A.
1987
Tangent cone of a Gorenstein singularity. Zbl 0624.13020
Iarrobino, Anthony
1986
Compressed algebras and components of the punctual Hilbert scheme. Zbl 0567.14001
Iarrobino, Anthony jun.
1985
Compressed algebras: Artin algebras having given socle degrees and maximal length. Zbl 0548.13009
Iarrobino, Anthony
1984
Deforming complete intersection Artin algebras. Appendix: Hilbert function of $${\mathbb{C}}[x,y]/I$$. Zbl 0563.13010
Iarrobino, Anthony
1983
Deformations of zero-dimensional complete intersections. (After M. Granger, T. Gaffney). Appendix: Global Hilbert scheme Hilb Pr. (After G. Gotzmann). Zbl 0479.14008
Iarrobino, Antonio
1981
Some zero-dimensional generic singularities; finite algebras having small tangent space. Zbl 0393.14002
Iarrobino, A.; Emsalem, J.
1978
Dimension of the punctual Hilbert scheme. Zbl 0402.14003
Briancon, J.; Iarrobino, A.
1978
Punctual Hilbert schemes. Zbl 0355.14001
Iarrobino, Anthony A.
1977
Irreducibility of the compactified Jacobian. Zbl 0415.14014
Altman, Allen B.; Iarrobino, Anthony; Kleiman, Steven L.
1977
An algebraic fibre bundle over P$$_1$$ that is not a vector bundle. Zbl 0268.14005
Iarrobino, A.
1973
The number of generic singularities. Zbl 0272.14002
Iarrobino, A.
1973
Reducibility of the families of O-dimensional schemes on a variety. Zbl 0227.14006
Iarrobino, A.
1972
Punctual Hilbert schemes. Zbl 0267.14005
Iarrobino, A.
1972
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#### Cited by 430 Authors

 24 Iarrobino, Anthony A. 23 Zanello, Fabrizio 22 Ballico, Edoardo 19 Migliore, Juan Carlos 17 Geramita, Anthony Vito 14 Bernardi, Alessandra 14 Elias, Juan 12 Boij, Mats 12 Chiantini, Luca 12 Shin, Yong Su 11 Carlini, Enrico 11 Catalisano, Maria Virginia 11 Mirò-Roig, Rosa Maria 11 Nagel, Uwe 11 Oneto, Alessandro 10 Casnati, Gianfranco 9 Harima, Tadahito 9 Rossi, Maria Evelina 9 Teitler, Zach 8 Notari, Roberto 8 Ottaviani, Giorgio Maria 8 Ventura, Emanuele 7 Gimigliano, Alessandro 7 Jelisiejew, Joachim 7 Mourrain, Bernard 7 Valla, Giuseppe 6 Ahn, Jeaman 6 Blekherman, Grigoriy 6 Gondim, Rodrigo 6 Harbourne, Brian 6 Isaev, Alexander 6 Khatami, Leila 6 Kleppe, Jan Oddvar 6 Kustin, Andrew R. 6 Mella, Massimiliano 6 Migliorini, Luca 6 Watanabe, Junzo 5 Brambilla, Maria Chiara 5 Buczyński, Jarosław 5 De Paris, Alessandro 5 Laksov, Dan 5 Marques, Pedro Macias 5 Postinghel, Elisa 4 de Cataldo, Mark Andrea A. 4 Dumitrescu, Olivia 4 Eisenbud, David 4 El Khoury, Sabine 4 Esteves, Eduardo 4 Göttsche, Lothar 4 Idà, Monica 4 Kleiman, Steven Lawrence 4 Michałek, Mateusz 4 Ranestad, Kristian 4 Shende, Vivek Vijay 4 Srinivasan, Hema 4 Sturmfels, Bernd 4 Zappalà, Giuseppe 3 Basili, Roberta 3 Briançon, Joël 3 Cho, Younghyun 3 Ciliberto, Ciro 3 Comon, Pierre 3 Conca, Aldo 3 Cook, David II 3 Damon, James Norman 3 Fröberg, Ralf 3 Galligo, André 3 Gesmundo, Fulvio 3 Goto, Shiro 3 Ilardi, Giovanna 3 Landsberg, Joseph Montague 3 Le Barz, Patrick 3 Şega, Liana M. 3 Shapiro, Boris Zalmanovich 3 Ulrich, Bernd 3 Wachi, Akihito 2 Alper, Jarod 2 Altafi, Nasrin 2 Altman, Allen B. 2 Ananthnarayan, Hariharan 2 Berman, David H. 2 Boyle, Bernadette 2 Brachat, Jerome 2 Buczyńska, Weronika 2 Chandler, Karen A. 2 Chipalkatti, Jaydeep V. 2 Constantinescu, Alexandru 2 Daleo, Noah S. 2 Dimca, Alexandru 2 Dreesen, Philippe 2 Ellingsrud, Geir 2 Emsalem, Jacques 2 Evain, Laurent 2 Faenzi, Daniele 2 Francisco, Christopher A. 2 García-Marco, Ignacio 2 Gotzmann, Gerd 2 Granger, Michel 2 Guardo, Elena 2 Haiman, Mark D. ...and 330 more Authors
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#### Cited in 108 Serials

 91 Journal of Algebra 50 Journal of Pure and Applied Algebra 29 Communications in Algebra 20 Advances in Mathematics 19 Transactions of the American Mathematical Society 19 Linear Algebra and its Applications 17 Proceedings of the American Mathematical Society 10 Mathematische Zeitschrift 10 Journal of Symbolic Computation 9 Compositio Mathematica 8 Journal of Commutative Algebra 7 Collectanea Mathematica 7 Inventiones Mathematicae 6 Linear and Multilinear Algebra 6 Illinois Journal of Mathematics 6 Manuscripta Mathematica 5 Duke Mathematical Journal 5 Mathematische Annalen 5 Foundations of Computational Mathematics 4 Rocky Mountain Journal of Mathematics 4 Bulletin de la Société Mathématique de France 4 Michigan Mathematical Journal 4 SIAM Journal on Matrix Analysis and Applications 4 Journal of Algebraic Combinatorics 4 Journal of Algebraic Geometry 4 Transformation Groups 4 Geometry & Topology 4 Journal of the European Mathematical Society (JEMS) 4 Mathematics 3 Beiträge zur Algebra und Geometrie 3 Acta Mathematica Vietnamica 3 Annales de l’Institut Fourier 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Archiv der Mathematik 3 Geometriae Dedicata 3 Mathematische Nachrichten 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Bollettino dell’Unione Matematica Italiana 3 SIAM Journal on Applied Algebra and Geometry 2 Communications in Mathematical Physics 2 Journal für die Reine und Angewandte Mathematik 2 Le Matematiche 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Rendiconti del Seminario Matematico della Università di Padova 2 Bulletin of the Korean Mathematical Society 2 International Journal of Mathematics 2 Differential Geometry and its Applications 2 The Journal of Geometric Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Experimental Mathematics 2 Annals of Combinatorics 2 Annals of Mathematics. Second Series 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Journal of Algebra and its Applications 2 Kyoto Journal of Mathematics 2 Arabian Journal of Mathematics 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Arkiv för Matematik 1 Mathematics of Computation 1 Acta Mathematica 1 Boletim da Sociedade Brasileira de Matemática 1 Canadian Mathematical Bulletin 1 Glasgow Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Journal of Number Theory 1 Journal of Soviet Mathematics 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Computer Aided Geometric Design 1 Journal of Complexity 1 Constructive Approximation 1 Discrete & Computational Geometry 1 Forum Mathematicum 1 International Journal of Algebra and Computation 1 Proceedings of the National Academy of Sciences of the United States of America 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Acta Mathematica Sinica. New Series 1 Journal de Théorie des Nombres de Bordeaux 1 Algebra Colloquium 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Revista Matemática Complutense 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Advances in Geometry 1 Portugaliae Mathematica. Nova Série 1 Mediterranean Journal of Mathematics 1 Bulletin of the American Mathematical Society ...and 8 more Serials
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#### Cited in 34 Fields

 335 Algebraic geometry (14-XX) 277 Commutative algebra (13-XX) 76 Linear and multilinear algebra; matrix theory (15-XX) 34 Combinatorics (05-XX) 15 Several complex variables and analytic spaces (32-XX) 13 Number theory (11-XX) 12 Numerical analysis (65-XX) 10 Associative rings and algebras (16-XX) 10 Approximations and expansions (41-XX) 9 Group theory and generalizations (20-XX) 8 Field theory and polynomials (12-XX) 8 Computer science (68-XX) 7 Convex and discrete geometry (52-XX) 6 Manifolds and cell complexes (57-XX) 5 Geometry (51-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Quantum theory (81-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Operator theory (47-XX) 2 Nonassociative rings and algebras (17-XX) 2 Category theory; homological algebra (18-XX) 2 Algebraic topology (55-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)