Papers &  preprints

.....working....

62	Towards a characterization of the inverse systems of complete intersection
	To appear in Proceedings of the A.M.S. 2024. https://arxiv.org/abs/2405.20049
61	How to determine a curve singularity
	Canad. Math. Bull. Vol. 67 (3), 2024, pp. 633–647 http://dx.doi.org/10.4153/S000843952400002X http://arxiv.org/abs/2312.11901
60	Almost finitely generated inverse systems and reduced k-algebras
	Contemporary Mathematics, Volume 805, 2024 Joint paper with M.E. Rossi, 2024 https://doi.org/10.1090/conm/805/16132 https://arxiv.org/abs/2411.03058
59	Upper bounds on two Hilbert coefficients
	Journal of Alg. 633 (2023), 563-590. Joint paper with L.X. Dung and L.T. Hoa, 2023. https://arxiv.org/abs/2206.03974
58	Inverse system of Gorenstein set of points in P^n
	To appear in Israel Journal of Mathematics, 2023. Joint paper with M.E. Rossi. https://doi.org/10.48550/arXiv.2301.07056
57	Sumsets and Veronese varieties
	Collectanea Mathematica (2023), no 2, 353-374. Joint paper with L. Colarte-Gómez and R.M. Miró-Roig https://doi.org/10.1007/s13348-022-00352-x https://arxiv.org/abs/2202.01114v1
56	Sumsets and projective curves
	Mediterr. J. Math. 19(2022) no 4. Paper 177. https://doi.org/10.1007/s00009-022-02108-0 https://arxiv.org/abs/2202.00590v1
55	A constructive approach to one-dimensional Gorenstein k-algebras
	Transactions of the A.M.S. Volume 374, Number 7, July 2021, Pages 4953–4971. Joint paper with M.E. Rossi, https://doi.org/10.1090/tran/8376 https://arxiv.org/abs/2101.07559
54	Computing minimal Gorenstein covers
	J. of Pure and Applied Algebra 224(2020) Joint paper with R. Homs and B. Mourrain, https://arxiv.org/abs/1901.0416
53	Inverse systems of local rings
	Chapter 2 of  Commutative Algebra and its Interacttions  to Algebraic Geometry, VIASM 2013-2014 Lecture Notes in Mathematics 2210, Springer, 2018
52	On low Gorenstein colength
	J. of Algebra 513 (2018) 368-387 Joint paper with R. Homs.
51	The structure of the inverse systems of  Gorenstein k-algebras
	Adv. in Math. 314(2017)306–327 Joint paper with  M.E. Rossi. https://doi.org/10.1016/j.aim.2017.04.025 https://arxiv.org/abs/1705.05686
50	On Teter rings
	Proc of the Royal Soc. of Edinburgh 147A, 125–139, 2017 Joint paper with Marcela Silva Takatuji
49	On the classification of  Artin  algebras and the Inverse System of Macaulay
	Research Perspectives CRM Barcelona, Spring  2015, vol. 5, in Trends in Mathematics Springer-Birkhauser, Basel. 53-58.
48	Inverse-syst.lib. Singular library for computing Macaulay's inverse systems
	http://arxiv.org/abs/1501.01786
47	On the canonical ideal of one-dimensional Cohen-Macaulay local rings
	Proc. Edinburgh Math. Soc. (2016) 59, 77–90 https://arxiv.org/abs/1309.5193
46	Classification of almost stretched Artin Gorenstein algebras
	Comm. in Alg. (2016) 44:6, 2277-2304 Joint paper with R. Homs.
45	Analytic isomorphisms of compressed local algebras
	Proc.Amer.Math.Soc 143 (2015) 973-987. Joint paper with  M.E. Rossi
44	On the Hilbert function of one-dimensional local complete intersections
	J. of Algebra 399 (2014) 489-515. Joint paper with  M.E. Rossi and G. Valla,
43	On the last Hilbert-Samuel coefficient of isolated singularities
	J. of Algebra 394 (2013) 285-295.
42	Poincaré series and deformations of Gorenstein local algebras with low socle degree
	Comm. In Algebra. 41 (2013), 1049–1059. Joint paper with G. Casnati, R. Notari and M.E. Rossi
41	Isomorphism classes of short Gorenstein local rings via Macaulay's inverse system
	Trans. AMS.Volume 364, Number 9, September 2012, Pages 4589–4604 Joint paper with M. E. Rossi
40	On the asymptotic depth of multigraded modules
	Comm. in Algebra. (2011)  39, 3298-3316. Joint paper with G. Colomé
39	Isomorphism classes of certain Gorenstein ideals.
	Algebra and Representation Theory (2011) 14: 429-448. Joint paper with G. Valla
38	Hilbert polynomial under liaison: the local case
	Contemporary Mathematics 555 (2010), 63-70. Special volume in honor of W. Vasconcelos. Joint paper with J. Martínez-Borruel
37	A family of local rings with rational Poincaré series.
	Proc. Amer. Math. Soc. 137 (2009), no. 4, 1175--1178.  Joint paper with G. Valla
36	Cohomological properties of non-standard multigraded modules.
	J. of Algebra 322 (2009), no 5, 1415-1429. Joint paper with G. Colomé.
35	Structure theorems for certain Gorenstein ideals.
	Special volume in honor of Melvin Hochster. Michigan Journal of Math. 57 (2008), 269-292. Joint paper with G. Valla.
34	Upper bounds of Hilbert coefficients and Hilbert functions.
	Math. Proc. Camb. Phil. Soc.  145 (2008), 1-8.
33	A moduli scheme of curve singularities.
	J. of Pure and Applied Algebra. 212 (2008) 1853-1877.
32	Bigraded structures and the depth of blow-up algebras.
	Proceedings of the Royal Soc. of Edinburgh, 136A, 1175-1194 (2006).  Joint paper with G. Colomé.
31	On the first normalized Hilbert coefficient.
	J. of Pure and Applied Algebra 201, 116-125 (2005)
30	The depth of the higher associated graded ring.
	J. London Math. Soc. (2) 70 (2004), no. 1, 41-59.
29	On the computation of Ratliff-Rush closure.
	J. Symbolic Computation 37 (2004), 717-725.
28	Two results on the number of generators.
	Commutative algebra (Grenoble/Lyon, 2001),  101--110, Contemp. Math., 331, Amer. Math. Soc. (2003).
27	Hilbert function and fractional powers.
	Mathematika  49,  no. 1-2, 71--75 (2002).
26	On the Grauert-Riemenschneider vanishing theorem.
	J. of Algebra 248, 265-271 (2002)
25	On the deep structure of the blowing-up of curve singularities.
	Math. Proc. Camb. Phil. Soc. 131, 227-240 (2001)
24	On the growth of the Hilbert function of a module.
	Math. Z. 234, 507-517 (2000)  Joint paper with C. Blancafort.
23	On the depth of the tangent cone and the growth of the Hilbert  function.
	Trans. Ams. Soc. 351(1999), 4027-4042.
22	Sharp upper bounds for the Betti numbers of Cohen-Macaulay modules
	Illinois Journal of Math. 41 (1997), 505-531.
21	On the coefficients of the Hilbert Polynomial.
	J. of Pure and Appl. Algebra 108 (1996), 35-60. Joint paper with M.E. Rossi and G. Valla.
20	The regularity index and the depth of the tangent cone of curve singularity.
	Japanese J. of Math. 22(1) (1996), 51--68.
19	On the Betti numbers of Cohen-Macaulay Modules.
	Journal of Pure and Appl. Algebra 107 (1996) 39--46.
18	On the number of equations defining affine varieties with isolated singularities.
	Arch. Math. 65 (1995) 94-96 . Joint paper with R. Garcia.
17	The zero dimensional scheme defined by the intersection of two curve singularities.
	"Zero dimensional Schemes", Ed. de Gruyter, 171-178, Berlin-New York (1994).
16	On the Cohen-Macaulay type of perfect ideals.
	Contenporany Mathematics 159 (1994), 41-49 . Joint paper with G. Geramita y G. Valla
15	The roller coaster curve singularities.
	J. of Algebra 168, 864--867 (1994).
14	The conjecture of Sally on the Hilbert function for curve singularities.
	J. of Algebra, 160, 42-49 (1993).
13	A numerical characterization of hypersurface singularities.
	Proc. A.M.S. 119 (1993), 15-17.
12	A strange property of the sets of points in uniform position.
	Comm. in Alg. 21(5) (1993), 1577-1585. Joint paper with R.M. Miro-Roig.
11	Using Gröbner bases for detecting polynomial identities: a case study on Fermat's ideal.
	J. Number Theory 41, no. 3 (1992), 272 -279. Joint paper with B. Buchberger.
10	Number of generators of ideals.
	Nagoya Math. J. 123 (1991), 39-76. Joint paper with L. Robbiano, G. Valla.
9	Three results on the number of generators of ideals.
	Comm. in Alg. 19(5) (1991), 1387-1408.
8	Rigid Hilbert functions.
	J. of Pure and Appl. Algebra 71 (1991), 19-41. Joint paper with G. Valla.
7	Characterization of the Hilbert polynomial of curve singularities.
	Compositio Math. 74 (1990), 135-155.
6	A note on the one-dimensional systems of formal equations.
	Ann. Inst. Fourier Grenoble 39 (1989), 633-640.
5	An upper bound of the singularity order for the generic projection.
	J. of Pure and Appl. Algebra 53 (1988), 267-270.
3	The Hilbert function of a Cohen-Macaulay local algebra: extremal Gorenstein algebras.
	J. of Algebra 110 (1987), 344-356. Joint paper with A. Iarrobino.
2	On the analytic equivalence of curves.
	Math. Proc. Camb. Phil. Soc. 100 (1986), 57-64.
1	A sharp bound for the minimal number of generators of perfect height two ideals.
	Manus. Math. 55 (1986), 93-99.