Paperspreprints 

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61 How to determine a curve singularity

To apperar in Canadian Mathematical Bulletin, 2024.
http://arxiv.org/abs/2312.11901
60 Almost finitely generated inverse systems and reduced k-algebras

To appear in Contemporary Mathematics.
Joint paper with M.E. Rossi, 2023.
59 Upper bounds on two Hilbert coefficients

Journal of Alg. (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.

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.