|
|
Papers & preprints |
|
| 64 | |
| 63 |
Matrix factorization and the generic plane projection of curve a singularity |
| To appear in Vietnam Journal of Math. 2025 https://arxiv.org/abs/2501.18926 |
|
| 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 Pn |
| 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. |
|
|
4 |
The
Hilbert function of a Cohen-Macaulay local algebra: extremal Gorenstein
algebras. |
|
J. of Algebra 110
(1987), 344-356. Joint paper with A. Iarrobino. |
|
|
3 |
On the
analytic equivalence of curves. |
|
Math. Proc. Camb. Phil. Soc. 100 (1986),
57-64. |
|
|
2 |
A sharp
bound for the minimal number of generators of perfect height two ideals. |
|
Manus. Math.
55 (1986), 93-99. |
|
| 1 | Two sharp bounds for the number of generators. |
|
Proceedings of the tenth
Spanish-Portuguese conference on mathematics, II (Murcia, 1985), pages
75–77. Univ. Murcia, (1985)
|