Preprints

  1. •Approximation theory for slice functions (with R. Ghiloni), in preparation.

  2. •A construction of equivariant bundles on the space of symmetric forms (with A. Boralevi and D. Faenzi), submitted. [arXiv] [M2]


Accepted papers

  1. •Strongly stable ideals and Hilbert polynomials (with D. Alberelli), Journal of Software for Algebra and Geometry. [arXiv] [StronglyStableIdeals.m2]

  2. •The maximum genus problem for locally Cohen-Macaulay space curves (with V. Beorchia and E. Schlesinger), Milan Journal of Mathematics. [link] [arXiv] [MaximumGenusProblem.m2]


Published papers

  1. 15. Truncated modules and linear presentations of vector bundles (with A. Boralevi and D. Faenzi), International Mathematics Research Notices, 2018(17):5347-5377, 2018. [link] [arXiv] [M2]

  2. 14. A computational approach to the ample cone of moduli spaces of curves (with C. Fontanari and R. Ghiloni), International Journal of Algebra and Computation, 28(1): 37-51, 2018. [link] [arXiv] [M2]

  3. 13. On the functoriality of marked families (with M. Roggero), Journal of Commutative Algebra, 8(3):367–410, 2016. [link] [arXiv]

  4. 12. Extensors and the Hilbert scheme (with J. Brachat, B. Mourrain and M. Roggero), Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (5), Vol. XVI(1), 2016. [link] [M2] [arXiv]

  5. 11. A combinatorial description of finite O-sequences and aCM genera (with F. Cioffi and M.G. Marinari), Journal of Symbolic Computation, 73:104–119, 2016. [link] [arXiv]

  6. 10. The maximum likelihood degree of Fermat hypersurfaces (with D. Agostini, D. Alberelli and F. Grande), Journal of Algebraic Statistics, 6(2):108–132, 2015. [link] [M2] [test]

  7. 9. Minimal Castelnuovo-Mumford regularity for a given Hilbert polynomial (with F. Cioffi, M.G. Marinari and M. Roggero), Experimental Mathematics 24(4): 424–437. 2015. [link] [arXiv]

  8. 8. Smooth curves specialize to extremal curves (with R. Hartshorne and E. Schlesinger), Mathematische Annalen 361(1): 459–476, 2015. [link] [arXiv]

  9. 7. The Hilbert schemes of locally Cohen-Macaulay curves in P^3 may after all be connected (with E. Schlesinger), Collectanea Mathematica 64(3): 363–372, 2013. [link] [arXiv]

  10. 6. Gaussian curves for visualizing chronological patterns of ceramic finds and residuality (with A. Ferrarese Lupi), Archaeometry 55(2): 296–311, 2013. [link]

  11. 5. A Borel open cover of the Hilbert scheme (with C. Bertone and M. Roggero), Journal of Symbolic Computation, 53:119–135, 2013. [link] [arXiv]

  12. 4. Upgraded methods for the effective computation of marked schemes on a strongly stable ideal (with C. Bertone, F. Cioffi and M. Roggero), Journal of Symbolic Computation, 50:263–290, 2013. [link] [arXiv]

  13. 3. An efficient implementation of the algorithm computing the Borel-fixed points of a Hilbert scheme, ISSAC 2012 — Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation, 242–248, ACM, New York, 2012. [arXiv]

  14. 2. Segments and Hilbert schemes of points (with F. Cioffi, M.G. Marinari and M. Roggero), Discrete Mathematics, 311(20):2238–2252, 2011. [link] [arXiv]

  15. 1. Rational Components of Hilbert Schemes (with M. Roggero), Rendiconti del Seminario Matematico della Università di Padova, 126:11–45, 2011. [link] [arXiv]


Theses

  1. •Computable Hilbert Schemes, PhD Thesis, February 2012. [pdf] [arXiv]

  2. •Hilbert schemes, Master Degree Thesis, July 2008. [pdf]

  3. •Factorization methods: an algorithmic approach, Bachelor Degree Thesis, July 2006. [pdf]


Pdf files of the articles are available on request

Paolo Lella