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14 changes: 10 additions & 4 deletions _data/defect.yml
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Expand Up @@ -116,7 +116,7 @@ articles:
title: Symbolic defects of edge ideals of unicyclic graphs
arxiv: 2204.05489
link: https://doi.org/10.1142/S0219498823500998
cite: <i>J. Algebra Appl.</i>, 22(05):2350099, 2023
cite: <i>J. Algebra Appl.</i>, 22(5):30, 2023
date: 2022-02-24

- authors: T. Reimer
Expand Down Expand Up @@ -153,11 +153,17 @@ articles:
title: Comparison of symbolic and ordinary powers of parity binomial edge ideals
link: https://doi.org/10.1007/s00605-023-01912-4
arxiv: 2311.03155
cite: <i>Monatshefte für Mathematik</i>, pages 1--16, 2023
cite: <i>Monatsh. Math.</i>, 203(3):695--710, 2024
date: 2023-11-02

- authors: R. Burity
title: On a-fold products ideals of hyperplane arrangements
link: https://doi.org/10.1016/j.bulsci.2023.103359
cite: <i>Bulletin des Sciences Mathématiques</i>, 189:103359, 2023
date: 2023-10-27
cite: <i>Bull. Sci. Math.</i>, 189:20, 2023
date: 2023-10-27

- authors: P. Mantero and V. Nguyen
title: The Structure of Symbolic Powers of Matroids
arxiv: 2406.13759
date: 2024-06-19

2 changes: 1 addition & 1 deletion bio.html
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Expand Up @@ -84,7 +84,7 @@ <h5 class="mb-0">Curriculum Vitae</h5>
</div>
<table class="table notop table-sm mb-0">
<tbody>
<tr><td><a href="files/CV.pdf">Full CV</a> (updated May 2024)</td>
<tr><td><a href="files/CV.pdf">Full CV</a> (updated July 2024)</td>
</tr>
</tbody>
</table>
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110 changes: 66 additions & 44 deletions files/sdefect.bib
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Expand Up @@ -307,6 +307,58 @@ @Article{zbMATH07619454
Zbl = {1502.13046}
}

@Article{zbMATH07667253,
Author = {Mandal, Mousumi and Pradhan, Dipak Kumar},
Title = {Symbolic defects of edge ideals of unicyclic graphs},
FJournal = {Journal of Algebra and its Applications},
Journal = {J. Algebra Appl.},
ISSN = {0219-4988},
Volume = {22},
Number = {5},
Pages = {30},
Note = {Id/No 2350099},
Year = {2023},
Language = {English},
DOI = {10.1142/S0219498823500998},
Keywords = {13F20,05C25},
zbMATH = {7667253},
Zbl = {1511.13020}
}

@Article{zbMATH07807396,
Author = {Taghipour, Nadia and Bayati, Shamila and Rahmati, Farhad},
Title = {Comparison of symbolic and ordinary powers of parity binomial edge ideals},
FJournal = {Monatshefte f{\"u}r Mathematik},
Journal = {Monatsh. Math.},
ISSN = {0026-9255},
Volume = {203},
Number = {3},
Pages = {695--710},
Year = {2024},
Language = {English},
DOI = {10.1007/s00605-023-01912-4},
Keywords = {13C70,13F20,05E40},
zbMATH = {7807396},
Zbl = {1535.13021}
}

@Article{zbMATH07794003,
Author = {Burity, Ricardo},
Title = {On {{\(a\)}}-fold products ideals of hyperplane arrangements},
FJournal = {Bulletin des Sciences Math{\'e}matiques},
Journal = {Bull. Sci. Math.},
ISSN = {0007-4497},
Volume = {189},
Pages = {20},
Note = {Id/No 103359},
Year = {2023},
Language = {English},
DOI = {10.1016/j.bulsci.2023.103359},
Keywords = {13D02,14N20,52C35,13A30,14Q99},
zbMATH = {7794003}
}

% arXiv references waiting to appear on zbMath
@misc{2112.12588,
title={A formula for symbolic powers},
author={Paolo Mantero and Cleto B. Miranda-Neto and Uwe Nagel},
Expand All @@ -316,28 +368,6 @@ @misc{2112.12588
primaryClass={math.AC}
}

@article{doi:10.1142/S0219498823500998,
author = {Mandal, Mousumi and Pradhan, Dipak Kumar},
title = {Symbolic defects of edge ideals of unicyclic graphs},
FJournal = {Journal of Algebra and Its Applications},
Journal = {J. Algebra Appl.},
volume = {22},
number = {05},
pages = {2350099},
year = {2023},
doi = {10.1142/S0219498823500998},
URL = {https://doi.org/10.1142/S0219498823500998}
}

@phdthesis{Reimer,
author = "Reimer, Tessa",
title = "The symbolic defect sequence of edge ideals",
school = "University of Manitoba",
year = 2022,
month = aug,
URL = {http://hdl.handle.net/1993/36734}
}

@misc{2310.12280,
author={Benjamin R. Oltsik},
title={Symbolic Defect of Monomial Ideals},
Expand All @@ -347,27 +377,19 @@ @misc{2310.12280
primaryClass={math.AC}
}

% not from zbMath
@article{BURITY2023103359,
title = {On a-fold products ideals of hyperplane arrangements},
journal = {Bulletin des Sciences Mathématiques},
volume = {189},
pages = {103359},
year = {2023},
issn = {0007-4497},
doi = {https://doi.org/10.1016/j.bulsci.2023.103359},
url = {https://www.sciencedirect.com/science/article/pii/S0007449723001331},
author = {Ricardo Burity},
keywords = {Rees algebra, Ideals generated by products of linear forms, Ideal of fiber type, Symbolic power},
abstract = {Given Σ⊂R:=K[x1,…,xk], where K is a field of characteristic 0, any finite collection of linear forms defining a hyperplane arrangement in Pk−1 and any 1≤a≤|Σ| satisfying |Σ|−a≥k, we prove that the ideal generated by all a-fold products of Σ, denoted by Ia(Σ), is of fiber type. Moreover, we verify a conjecture of Mantero, Miranda-Neto and Nagel on symbolic powers for the class of ideals generated by (|Σ|−1)-fold products defined by a generic hyperplane arrangement.}
@misc{2406.13759,
Author = {Paolo Mantero and Vinh Nguyen},
Title = {The Structure of Symbolic Powers of Matroids},
Year = {2024},
Eprint = {arXiv:2406.13759},
}

% not from zbMath
@article{taghipour2023comparison,
title={Comparison of symbolic and ordinary powers of parity binomial edge ideals},
author={Taghipour, Nadia and Bayati, Shamila and Rahmati, Farhad},
journal={Monatshefte f{\"u}r Mathematik},
pages={1--16},
year={2023},
publisher={Springer}
}
% not indexed by zbMath
@phdthesis{Reimer,
author = "Reimer, Tessa",
title = "The symbolic defect sequence of edge ideals",
school = "University of Manitoba",
year = 2022,
month = aug,
URL = {http://hdl.handle.net/1993/36734}
}
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