Research

Publications

• Maximum genus curves and generic forms, in preparation (with A. Sammartano).

• Multiple Lines of Maximum Genus in P^3, Mediterr. J. Math. (2024) 21:72, https://doi.org/10.1007/s00009-024-02608-1

• Reconstructing curves from their Hodge classes, Rendiconti del Circolo Matematico di Palermo Series 2, Volume 72, 945–958, (2023) , https://doi.org/10.1007/s12215-021-00704-9 (with M.G. Cifani and G.P. Pirola) .

• The Maximum Genus Problem for Locally Cohen Macaulay Space Curves, Milan Journal of Mathematics, Vo. 86 (2018), 137-155 (with V. Beorchia e P. Lella).

• Smooth curves specialize to extremal curves, Mathematische Annalen, 2015, 361 (1-2), 459-476  (with R. Hartshorne e P. Lella).

• A New Curve Algebraically but not Rationally Uniformized by Radicals, Asian Journal of Mathematics, 2014, vol. 18, p. 127-142, ISSN: 1093-6106 (with G.P. Pirola and C. Rizzi).

• The Hilbert schemes of locally Cohen-Macaulay curves in P^3 may after all be connected, Collectanea Mathematica: Volume 64, Issue 3 (2013), Page 363-372  (with P. Lella) 

• Gonality of a general ACM curve in projective 3-space, Pacific Journal of Mathematics, 2011 Vol 251-2,pp. 269-313 (with R. Hartshorne) 

• Codimension 3 arithmetically Gorenstein subschemes of projective N-space, Annales de l'Institut Fourier, 58 no. 6 (2008),  2037-2073 (with R. Hartshorne and I. Sabadini) .

• A curve algebraically but not rationally uniformized by radicals, J. Algebra, 289,2: 412–420, 2005 (with G.P. Pirola).

• Monodromy of projective curves, J. Algebraic Geom., 14,4: 623–642, 2005 (with G.P. Pirola).

• Hilbert schemes of degree four curves, Compositio Math., 139,2: 169–196,2003 (with S. Nollet).

• Curves on a double surface, Collect. Math. 54, 3 (2003) 327-340 (with S. Nollet).

• Footnote to a paper by Hartshorne, Comm. Algebra 28 (12) 6079-6083, 2000.

• Curves in the double plane, Comm.Algebra 28 (12) 5655-5676, 2000 (with R. Hartshorne).

• Extensions of vector bundles on P^1. Comm. Algebra, 28(12):5883–5889, 2000.

• A speciality theorem for Cohen-Macaulay space curves. Trans. Amer. Math. Soc., 351:2731–2743, 1999.

• On the spectrum of certain subschemes of P^N. J. Pure Appl. Algebra, 136(3):267–283, 1999.

• A new proof of a theorem of Beorchia on the genus of space curves. Math. Nachr., 194:197–203, 1998.

• Infinite networks and Markov chains. Boll. Un. Mat. Ital. B (7), 6(1):23–37, 1992.