Elena Guardo
Research
My research is primarily in commutative algebra and
algebraic geometry. It mainly focuses on the Hilbert functions, minimal graded
and multigraded free resolution of schemes of
distinct points and fat points whose support lies in Pn,
in P1xP1 and in multiprojective
spaces Pn_1x...xPn_k.
You can check out my current CV for further details
about my research.
Main Papers in refereed
journals
Some of these preprints are avaiblable
at Mathematics ArXiv.
https://arxiv.org/search/?searchtype=author&query=Guardo%2C+E
https://www.scopus.com/authid/detail.uri?authorId=6507958419
20. Bocci C, Cooper S, Guardo E, Harbourne
B., Janssen M, Nagel U, Seceleanu A, Van Tuyl A, Vu T (2016). The Waldschmidt
constant for squarefree monomial ideals. J. Algebraic Combin., vol. 44, Issue 4, ISSN: 0925-9899, doi:
10.1007/s10801-016-0693-7
21. Guardo E, Van Tuyl A (2015).
Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1. SpringerBriefs Math., p. 1-134, MONOGRAFIA Springer, ISBN: 978-3-319-24164-7,
ISSN: 2191-8198, doi: 10.1007/978-3-319-24166-1
23. Guardo E., Van Tuyl A.,“On the Hilbert Function of sets of points in P1XP1XP1”
Math. Proc. Cambridge Philos. Soc. Vol. 159 , Issue
1,( July 2015) pp 115-123, DOI:
http://dx.doi.org/10.1017/S0305004115000249, Published online: 03
May 2015
24. Carlini E., Guardo E., Van Tuyl A.,“Plane curves
containing a star configuration” J. Pure Appl. Algebra Vol. 219, Issue 8
(August 2015) pp 3089-3700, doi:10.1016/j.jpaa.2014.12.008
25.
Carlini E.,
Guardo E., Van Tuyl A., “Star configurations on
generic hypersurfaces.” J. Algebra 407 Pubblicato on line il 25 Marzo
2014, pp 1–20, http://dx.doi.org/10.1016/j.jalgebra.2014.02.013
26.
Gionfriddo M., Guardo E., Milazzo
L., Voloshin V., “Feasible sets of small bicolorable STSs.” Australas. J. of Combin., Volume
59 (1), Pubblicato on line nel Marzo 2014, Pages 107–119, (2014)
27.
Gionfriddo M., Guardo E., Milazzo
L., – “Extending bicolorings
for Steiner triple systems.” Appl.
Anal. Discrete Math. 7 (2013), 225–234. doi:10.2298/AADM130827019G
28. Guardo E., Harbourne
B., Van Tuyl A., -“Asymptotic resurgences for ideals of
positive dimensional subschemes of projective space”. Adv.
Math., Vol 246
(2013) 114–127, http://dx.doi.org/10.1016/j.aim.2013.05.027.
29. Guardo E., B. Harbourne, A. Van Tuyl, - “Fat lines in P3: regular versus
symbolic powers” Pubblicato on line 17 Giugno 2013 , J. Algebra, Vol.390, 15 September 2013, pp 221—230, http://dx.doi.org/10.1016/j.jalgebra.2013.05.028.
30. Guardo E., B. Harbourne, A.
Van Tuyl – “Symbolic powers versus
regular powers of ideals of general points in P1 x P1”, Canad. J. Math. Vol. 65 (4), 2013 pp. 823–842 (pubblicato
on line 13 Novembre 2012)
http://dx.doi.org/10.4153/CJM-2012-045-3.
31. Guardo E., A. Van Tuyl – “Classifying ACM sets of points in P1x
P1 via separators”. Arch. Math., vol 99, Issue 1, pp 33—36
(2012). DOI: 10.1007/s00013-012-0404-0.
32. Guardo E., A. Van Tuyl – “Separators
of Arithmetically Cohen-Macaulay fat points in P1xP1”.
J. Commut.
Algebra Vol. 4, N 2, Summer 2012, pp 255-268. DOI:10.1216/JCA-2012-4-2-255
33. Guardo E., A. Van Tuyl
–“ Separators of fat points in
PnxPm”. J. Pure Appl. Algebra, 215, 1990-1998 (2011).
Pubblicato on line 4 December, 2010, doi:10.1016/j.jpaa.2010.11.009
34.
Guardo
E., L. Marino, A. Van Tuyl – “Separators of fat
points in Pn”. – J. Algebra, Pubblicato on
line 17 Luglio 2010, Volume
324, Issue 7, 1 October 2010, Pages 1492-1512 doi:10.1016/j.jalgebra.2010.07.008.
35.
Guardo E., A.Van Tuyl – “Separators of points in multiprojective space”. Manuscripta Math. 126 (2008), no. 1.99-113
DOI: 10.1007/s00229-008-0165-z
36.
Guardo E., A. Van Tuyl: -- “ACM sets of
points in Multiprojective Spaces”. Collect. Math. 59 (2008), no. 2,
191–213. (2008) DOI: 10.1007/BF03191367
37. Guardo E., B. Harbourne –
“Configuration types and cubic surfaces”. J. Algebra 320 (2008) 3519—3533, doi:
10.1016/j.jalgebra.2008.05.032.
38. Guardo E., Harbourne B., “Resolution
of ideals of six points in P2”.
J. Algebra 318 (2007), no. 2, 619—640, doi: 10.1016/j.jalgebra.2007.09.018.
39. Guardo E., Van Tuyl A.,“The minimal
resolution of double points in P1xP1 with ACM
support”. J. Pure Appl. Algebra 211 (2007), no. 3, 784—800, doi:
10.1016/j.jpaa.2007.04.005.
40. Guardo E., A. Van Tuyl – “Some
results on fat points whose support is a complete intersection minus a point” - "Projective varieties with
unexpected properties"- Siena
41. Guardo E., A. Van Tuyl – “Powers
of complete intersections and fat points in special position”. Illinois J. Math. 49 (2005), no. 1, 265--279 (electronic).
42. Guardo E. – “A Survey on Fat Points on a smooth
quadric - Algebraic structures and their
representations”, 61--87, Contemp. Math., 376, Amer.
Math. Soc., Providence, RI, 2005, doi: http://dx.doi.org/10.1090/conm/376.
43. Guardo E., A. Van Tuyl – “Fat
points in P1xP1 and their Hilbert functions”. Canad. J. Math. 56 (2004), no. 4, 716-741, doi: 10.4153/CJM-2004-033-0
44. Guardo E. – “Fat Points Schemes on a smooth
quadric”. J. Pure Appl. Algebra 162 (2001), no. 2-3, 183—208, doi: 10.1016/S0022-4049(00)00123-7.
45. M. Buckles, E. Guardo, A. Van Tuyl
– “Fat Points on a generic almost complete intersection”. Le Matematiche (Catania) 55 (2000),
no. 1, 191-202. Dipartimento di Matematica e Informatica
dell’Università di Catania. Entrato in redazione il 1 aprile
2001
46. M. Buckles, E. Guardo, A. Van Tuyl
– “Fat Points a grid in P2”. Le Matematiche (Catania)
55 (2000),
no. 1, 169-189. Dipartimento di Matematica e Informatica
dell’Università di Catania. Entrato in redazione il 1 aprile
2001
47. E. Guardo - Schemi
di Fat Points - Ph.D. Thesis, Novembre 2000