| Computing symmetric rank for symmetric tensors A Bernardi, A Gimigliano, M Ida Journal of Symbolic Computation 46 (1), 34-53, 2011 | 150 | 2011 |
| Decomposition of homogeneous polynomials with low rank E Ballico, A Bernardi Mathematische Zeitschrift 271 (3), 1141-1149, 2012 | 71 | 2012 |
| General tensor decomposition, moment matrices and applications A Bernardi, J Brachat, P Comon, B Mourrain Journal of Symbolic Computation 52, 51-71, 2013 | 52 | 2013 |
| On the cactus rank of cubic forms A Bernardi, K Ranestad Journal of Symbolic Computation 50, 291-297, 2013 | 52 | 2013 |
| Stratification of the fourth secant variety of Veronese variety via the symmetric rank E Ballico, A Bernardi arXiv preprint arXiv:1005.3465, 2010 | 45 | 2010 |
| Instanton sheaves on complex projective spaces M Jardim arXiv preprint math/0412142, 2004 | 39 | 2004 |
| A comparison of different notions of ranks of symmetric tensors A Bernardi, J Brachat, B Mourrain Linear Algebra and its Applications 460, 205-230, 2014 | 38 | 2014 |
| On real typical ranks A Bernardi, G Blekherman, G Ottaviani Bollettino dell'Unione Matematica Italiana 11 (3), 293-307, 2018 | 34 | 2018 |
| On the stratification of secant varieties of Veronese varieties via symmetric rank A Bernardi, A Gimigliano, M Ida arXiv preprint arXiv:0908.1651, 2009 | 30 | 2009 |
| On the variety parameterizing completely decomposable polynomials E Arrondo, A Bernardi Journal of pure and applied algebra 215 (3), 201-220, 2011 | 26 | 2011 |
| Osculating varieties of Veronese varieties and their higher secant varieties A Bernardi, MV Catalisano, A Gimigliano, M Idá Canadian Journal of Mathematics 59 (3), 488-502, 2007 | 25 | 2007 |
| Tensor ranks on tangent developable of Segre varieties E Ballico, A Bernardi Linear and Multilinear Algebra 61 (7), 881-894, 2013 | 23 | 2013 |
| Secant varieties to osculating varieties of Veronese embeddings of Pn A Bernardi, MV Catalisano, A Gimigliano, M Idà Journal of Algebra 321 (3), 982-1004, 2009 | 22 | 2009 |
| The hitchhiker guide to: Secant varieties and tensor decomposition A Bernardi, E Carlini, MV Catalisano, A Gimigliano, A Oneto Mathematics 6 (12), 314, 2018 | 21 | 2018 |
| Ideals of varieties parameterized by certain symmetric tensors A Bernardi Journal of Pure and Applied Algebra 212 (6), 1542-1559, 2008 | 21 | 2008 |
| Tensor decomposition and homotopy continuation A Bernardi, NS Daleo, JD Hauenstein, B Mourrain Differential geometry and its applications 55, 78-105, 2017 | 18 | 2017 |
| Algebraic geometry tools for the study of entanglement: an application to spin squeezed states A Bernardi, I Carusotto Journal of Physics A: Mathematical and Theoretical 45 (10), 105304, 2012 | 16 | 2012 |
| On the partially symmetric rank of tensor products of W-states and other symmetric tensors E Ballico, A Bernardi, M Christandl, F Gesmundo arXiv preprint arXiv:1803.01623, 2018 | 15 | 2018 |
| Higher Secant Varieties of ℙ n × ℙ1 Embedded in Bi-Degree (a, b) E Ballico, A Bernardi, MV Catalisano Communications in algebra 40 (10), 3822-3840, 2012 | 15* | 2012 |
| Higher secant varieties of Pn× Pm embedded in bi-degree (1, d) A Bernardi, E Carlini, MV Catalisano Journal of Pure and Applied Algebra 215 (12), 2853-2858, 2011 | 15 | 2011 |
Alessandro GimiglianoProfessor, Università di Bologna, ItalyBestätigte E-Mail-Adresse bei unibo.it
