Guardo, Elena; Kreuzer, Martin; Linh, Tran N. K.; Long, Le Ngoc Kähler differentials for fat point schemes in \(\mathbb{P}^1\times\mathbb{P}^1\). (English) Zbl 1482.13025 J. Commut. Algebra 13, No. 2, 179-207 (2021). Reviewer: Samuel Lundqvist (Stockholm) MSC: 13N05 13C40 13D40 14N05 PDFBibTeX XMLCite \textit{E. Guardo} et al., J. Commut. Algebra 13, No. 2, 179--207 (2021; Zbl 1482.13025) Full Text: DOI arXiv
Favacchio, G.; Guardo, E.; Harbourne, B.; Migliore, J. Expecting the unexpected: quantifying the persistence of unexpected hypersurfaces. (English) Zbl 1473.13016 Adv. Math. 388, Article ID 107857, 37 p. (2021). Reviewer: Roberto Muñoz (Madrid) MSC: 13D40 14Q15 14C20 14M10 14N05 14M07 13E10 14J70 PDFBibTeX XMLCite \textit{G. Favacchio} et al., Adv. Math. 388, Article ID 107857, 37 p. (2021; Zbl 1473.13016) Full Text: DOI arXiv
Cooper, Susan M.; Guardo, Elena Fat points, partial intersections and Hamming distance. (English) Zbl 1444.13025 J. Algebra Appl. 19, No. 4, Article ID 2050071, 25 p. (2020). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13D40 13F20 13A02 14N07 14G50 PDFBibTeX XMLCite \textit{S. M. Cooper} and \textit{E. Guardo}, J. Algebra Appl. 19, No. 4, Article ID 2050071, 25 p. (2020; Zbl 1444.13025) Full Text: DOI
Carlini, Enrico; Catalisano, Maria Virginia; Guardo, Elena; Van Tuyl, Adam Hilbert functions of schemes of double and reduced points. (English) Zbl 1437.14048 J. Pure Appl. Algebra 224, No. 6, Article ID 106187, 20 p. (2020). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 14M05 13D40 13H15 14N20 PDFBibTeX XMLCite \textit{E. Carlini} et al., J. Pure Appl. Algebra 224, No. 6, Article ID 106187, 20 p. (2020; Zbl 1437.14048) Full Text: DOI arXiv
Favacchio, Giuseppe; Guardo, Elena On the Betti numbers of three fat points in \(\mathbb{P}^1 \times \mathbb{P}^1\). (English) Zbl 1436.13038 J. Korean Math. Soc. 56, No. 3, 751-766 (2019). Reviewer: Susan Marie Cooper (Winnipeg) MSC: 13F20 13A15 13D40 14M05 PDFBibTeX XMLCite \textit{G. Favacchio} and \textit{E. Guardo}, J. Korean Math. Soc. 56, No. 3, 751--766 (2019; Zbl 1436.13038) Full Text: DOI
Favacchio, Giuseppe; Guardo, Elena The interpolation problem for a set of three fat points in \(\mathbb{P}^1\times\mathbb{P}^1\). arXiv:1701.03677 Preprint, arXiv:1701.03677 [math.AG] (2017). MSC: 13F20 13A15 13D40 14M05 BibTeX Cite \textit{G. Favacchio} and \textit{E. Guardo}, ``The interpolation problem for a set of three fat points in $\mathbb{P}^1\times\mathbb{P}^1$'', Preprint, arXiv:1701.03677 [math.AG] (2017) Full Text: arXiv OA License
Guardo, Elena; van Tuyl, Adam On the Hilbert functions of sets of points in \(\mathbb{P}^1\times\mathbb{P}^1\times\mathbb{P}^1\). (English) Zbl 1371.13021 Math. Proc. Camb. Philos. Soc. 159, No. 1, 115-123 (2015). MSC: 13D40 PDFBibTeX XMLCite \textit{E. Guardo} and \textit{A. van Tuyl}, Math. Proc. Camb. Philos. Soc. 159, No. 1, 115--123 (2015; Zbl 1371.13021) Full Text: DOI arXiv
Bocci, Cristiano (ed.); Carlini, Enrico (ed.); Guardo, Elena (ed.); Harbourne, Brian (ed.) Mini-workshop: Ideals of linear subspaces, their symbolic powers and Waring problems. Abstracts from the mini-workshop held February 15–21, 2015. (English) Zbl 1349.00072 Oberwolfach Rep. 12, No. 1, 489-532 (2015). MSC: 00B05 00B25 13-06 14-06 13D40 14C20 14N20 13F20 13P10 PDFBibTeX XMLCite \textit{C. Bocci} (ed.) et al., Oberwolfach Rep. 12, No. 1, 489--532 (2015; Zbl 1349.00072) Full Text: DOI
Guardo, Elena; Van Tuyl, Adam Arithmetically Cohen-Macaulay sets of points in \(\mathbb P^1 \times \mathbb P^1\). (English) Zbl 1346.13001 SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-319-24164-7/pbk; 978-3-319-24166-1/ebook). viii, 134 p. (2015). Reviewer: Piotr Pokora (Hannover) MSC: 13-02 13M10 13D02 13D40 52C35 32S22 PDFBibTeX XMLCite \textit{E. Guardo} and \textit{A. Van Tuyl}, Arithmetically Cohen-Macaulay sets of points in \(\mathbb P^1 \times \mathbb P^1\). Cham: Springer (2015; Zbl 1346.13001) Full Text: DOI
Guardo, Elena; Van Tuyl, Adam Separators of arithmetically Cohen-Macaulay fat points \(\mathbb P^1\times \mathbb P^1\). (English) Zbl 1285.13019 J. Commut. Algebra 4, No. 2, 255-268 (2012). Reviewer: Cristiano Bocci (Siena) MSC: 13D40 13D02 14M05 PDFBibTeX XMLCite \textit{E. Guardo} and \textit{A. Van Tuyl}, J. Commut. Algebra 4, No. 2, 255--268 (2012; Zbl 1285.13019) Full Text: DOI arXiv Euclid
Guardo, Elena; Van Tuyl, Adam Classifying ACM sets of points in \({\mathbb{P}^{1} \times \mathbb{P}^{1}}\) via separators. (English) Zbl 1263.13011 Arch. Math. 99, No. 1, 33-36 (2012). Reviewer: Paolo Valabrega (Torino) MSC: 13D40 13D02 13H10 14A15 PDFBibTeX XMLCite \textit{E. Guardo} and \textit{A. Van Tuyl}, Arch. Math. 99, No. 1, 33--36 (2012; Zbl 1263.13011) Full Text: DOI arXiv
Guardo, Elena; Van Tuyl, Adam Separators of fat points in \(\mathbb P^n \times \mathbb P^m\). (English) Zbl 1252.13011 J. Pure Appl. Algebra 215, No. 8, 1990-1998 (2011). MSC: 13D40 13D02 14M05 PDFBibTeX XMLCite \textit{E. Guardo} and \textit{A. Van Tuyl}, J. Pure Appl. Algebra 215, No. 8, 1990--1998 (2011; Zbl 1252.13011) Full Text: DOI arXiv
Guardo, Elena; Marino, Lucia; Van Tuyl, Adam Separators of fat points in \(\mathbb P^n\). (English) Zbl 1216.13010 J. Algebra 324, No. 7, 1492-1512 (2010). Reviewer: Giuseppe Zappalà (Catania) MSC: 13D40 13D02 14M05 PDFBibTeX XMLCite \textit{E. Guardo} et al., J. Algebra 324, No. 7, 1492--1512 (2010; Zbl 1216.13010) Full Text: DOI arXiv
Guardo, Elena; van Tuyl, Adam ACM sets of points in multiprojective space. (English) Zbl 1146.13012 Collect. Math. 59, No. 2, 191-213 (2008). Reviewer: Alessandro Gimigliano (Bologna) MSC: 13H10 14M05 13D40 13D02 PDFBibTeX XMLCite \textit{E. Guardo} and \textit{A. van Tuyl}, Collect. Math. 59, No. 2, 191--213 (2008; Zbl 1146.13012) Full Text: DOI arXiv EuDML
Guardo, Elena; Van Tuyl, Adam Separators of points in a multiprojective space. (English) Zbl 1145.13007 Manuscr. Math. 126, No. 1, 99-113 (2008). Reviewer: Alessandro Gimigliano (Bologna) MSC: 13D02 14M05 13D40 PDFBibTeX XMLCite \textit{E. Guardo} and \textit{A. Van Tuyl}, Manuscr. Math. 126, No. 1, 99--113 (2008; Zbl 1145.13007) Full Text: DOI arXiv
Guardo, Elena; Van Tuyl, Adam The minimal resolutions of double points in \(\mathbb {P}^1 \times \mathbb P^{1}\) with ACM support. (English) Zbl 1126.13013 J. Pure Appl. Algebra 211, No. 3, 784-800 (2007). Reviewer: Alessandro Gimigliano (Bologna) MSC: 13D40 14A15 13D02 13H10 PDFBibTeX XMLCite \textit{E. Guardo} and \textit{A. Van Tuyl}, J. Pure Appl. Algebra 211, No. 3, 784--800 (2007; Zbl 1126.13013) Full Text: DOI arXiv
Guardo, Elena; Van Tuyl, Adam Some results on fat points whose support is a complete intersection minus a point. (English) Zbl 1108.13016 Ciliberto, C. (ed.) et al., Projective varieties with unexpected properties. A volume in memory of Giuseppe Veronese. Proceedings of the international conference “Varieties with unexpected properties”, Siena, Italy, June 8–13, 2004. Berlin: Walter de Gruyter (ISBN 3-11-018160-6/hbk). 257-266 (2005). Reviewer: Martin Kreuzer (Dortmund) MSC: 13D40 13D02 14C20 13H10 14A15 PDFBibTeX XMLCite \textit{E. Guardo} and \textit{A. Van Tuyl}, in: Projective varieties with unexpected properties. A volume in memory of Giuseppe Veronese. Proceedings of the international conference ``Varieties with unexpected properties'', Siena, Italy, June 8--13, 2004. Berlin: Walter de Gruyter. 257--266 (2005; Zbl 1108.13016)
Guardo, Elena A survey on fat points on a smooth quadric. (English) Zbl 1087.14007 de la Peña, José A. (ed.) et al., Algebraic structures and their representations. Proceedings of ‘XV coloquio Latinoamericano de álgebra’, Cocoyoc, Morelos, México, July 20–26, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3630-7/pbk). Contemporary Mathematics 376, 61-87 (2005). Reviewer: Alessandro Gimigliano (Bologna) MSC: 14C20 14J26 13D40 13H10 PDFBibTeX XMLCite \textit{E. Guardo}, Contemp. Math. 376, 61--87 (2005; Zbl 1087.14007)
Guardo, Elena; Van Tuyl, Adam Fat points in \(\mathbb{P}^1\times\mathbb{P}^1\) and their Hilbert functions. (English) Zbl 1092.14057 Can. J. Math. 56, No. 4, 716-741 (2004). Reviewer: Martin Kreuzer (Dortmund) MSC: 14M05 13D40 13D02 PDFBibTeX XMLCite \textit{E. Guardo} and \textit{A. Van Tuyl}, Can. J. Math. 56, No. 4, 716--741 (2004; Zbl 1092.14057) Full Text: DOI arXiv
Buckels, Mark; Guardo, Elena; Van Tuyl, Adam Fat points on a generic almost complete intersection. (English) Zbl 1009.14009 Matematiche 55, No. 1, 191-202 (2000). Reviewer: C.Cumino (Torino) MSC: 14M05 13D40 13P10 13D02 PDFBibTeX XMLCite \textit{M. Buckels} et al., Matematiche 55, No. 1, 191--202 (2000; Zbl 1009.14009)
Buckels, Mark; Guardo, Elena; Van Tuyl, Adam Fat points on a grid in \(\mathbb{P}^2\). (English) Zbl 1009.14008 Matematiche 55, No. 1, 169-189 (2000). Reviewer: C.Cumino (Torino) MSC: 14M05 13D40 13P10 13D02 PDFBibTeX XMLCite \textit{M. Buckels} et al., Matematiche 55, No. 1, 169--189 (2000; Zbl 1009.14008)