Staal, Andrew P. The ubiquity of smooth Hilbert schemes. (English) Zbl 1451.14010 Math. Z. 296, No. 3-4, 1593-1611 (2020). Reviewer: Scott Nollet (Fort Worth) MSC: 14C05 PDF BibTeX XML Cite \textit{A. P. Staal}, Math. Z. 296, No. 3--4, 1593--1611 (2020; Zbl 1451.14010) Full Text: DOI arXiv
Bernardi, Alessandra; Jelisiejew, Joachim; Marques, Pedro Macias; Ranestad, Kristian On polynomials with given Hilbert function and applications. (English) Zbl 1454.13042 Collect. Math. 69, No. 1, 39-64 (2018). MSC: 13H10 14Q15 14C05 13D40 PDF BibTeX XML Cite \textit{A. Bernardi} et al., Collect. Math. 69, No. 1, 39--64 (2018; Zbl 1454.13042) Full Text: DOI arXiv
Chiantini, Luca; Migliore, Juan Almost maximal growth of the Hilbert function. (English) Zbl 1314.13031 J. Algebra 431, 38-77 (2015). Reviewer: Amir Mafi (Sanandaj) MSC: 13D40 14M05 PDF BibTeX XML Cite \textit{L. Chiantini} and \textit{J. Migliore}, J. Algebra 431, 38--77 (2015; Zbl 1314.13031) Full Text: DOI arXiv
Caviglia, Giulio; Murai, Satoshi Sharp upper bounds for the Betti numbers of a given Hilbert polynomial. (English) Zbl 1281.13009 Algebra Number Theory 7, No. 5, 1019-1064 (2013). Reviewer: Thanh Vu (Berkeley) MSC: 13D02 13D40 PDF BibTeX XML Cite \textit{G. Caviglia} and \textit{S. Murai}, Algebra Number Theory 7, No. 5, 1019--1064 (2013; Zbl 1281.13009) Full Text: DOI arXiv
Abedelfatah, Abed Macaulay-lex rings. (English) Zbl 1318.13021 J. Algebra 374, 122-131 (2013). Reviewer: Indranath Sengupta (Kolkata) MSC: 13D40 13F20 13P10 PDF BibTeX XML Cite \textit{A. Abedelfatah}, J. Algebra 374, 122--131 (2013; Zbl 1318.13021) Full Text: DOI
Chen, Ri-Xiang Some special cases of the Eisenbud-Green-Harris conjecture. (English) Zbl 1295.13024 Ill. J. Math. 56, No. 3, 661-675 (2012). Reviewer: Susan Marie Cooper (Fargo) MSC: 13D40 PDF BibTeX XML Cite \textit{R.-X. Chen}, Ill. J. Math. 56, No. 3, 661--675 (2012; Zbl 1295.13024) Full Text: Euclid
Chen, Ri-Xiang Macaulay’s theorem for some projective monomial curves. (English) Zbl 1271.13002 J. Commut. Algebra 4, No. 2, 199-228 (2012). Reviewer: Eduardo Saenz-de-Cabezon (Logroño) MSC: 13A02 PDF BibTeX XML Cite \textit{R.-X. Chen}, J. Commut. Algebra 4, No. 2, 199--228 (2012; Zbl 1271.13002) Full Text: DOI Euclid
He, Yu The classification of Macaulay-Lex ideals in \(k[x, y]\). (English) Zbl 1238.13027 Commun. Algebra 40, No. 3, 897-904 (2012). Reviewer: Eduardo Saenz-de-Cabezon (Logroño) MSC: 13F20 PDF BibTeX XML Cite \textit{Y. He}, Commun. Algebra 40, No. 3, 897--904 (2012; Zbl 1238.13027) Full Text: DOI
Mermin, Jeff; Murai, Satoshi Betti numbers of lex ideals over some Macaulay-lex rings. (English) Zbl 1195.13023 J. Algebr. Comb. 31, No. 2, 299-318 (2010). Reviewer: Eduardo Saenz-de-Cabezon (Logroño) MSC: 13F20 13F55 13P10 PDF BibTeX XML Cite \textit{J. Mermin} and \textit{S. Murai}, J. Algebr. Comb. 31, No. 2, 299--318 (2010; Zbl 1195.13023) Full Text: DOI
Ahn, Jeaman; Geramita, Anthony V.; Shin, Yong Su The Gotzmann coefficients of Hilbert functions. (English) Zbl 1177.13034 J. Algebra 321, No. 9, 2604-2636 (2009). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13D40 14M05 13H10 PDF BibTeX XML Cite \textit{J. Ahn} et al., J. Algebra 321, No. 9, 2604--2636 (2009; Zbl 1177.13034) Full Text: DOI arXiv
Gasharov, Vesselin; Horwitz, Noam; Peeva, Irena Hilbert functions over toric rings. (English) Zbl 1183.13031 Mich. Math. J. 57, 339-357 (2008). Reviewer: Eduardo Saenz-de-Cabezon (Logroño) MSC: 13F20 13F55 PDF BibTeX XML Cite \textit{V. Gasharov} et al., Mich. Math. J. 57, 339--357 (2008; Zbl 1183.13031) Full Text: DOI
Francisco, Christopher A.; Richert, Benjamin P. Lex-plus-powers ideals. (English) Zbl 1125.13008 Peeva, Irena (ed.), Syzygies and Hilbert functions. Boca Raton, FL: Chapman & Hall/CRC (ISBN 978-1-58488-860-4/pbk). Lecture Notes in Pure and Applied Mathematics 254, 113-144 (2007). Reviewer: Hans-Gert Gräbe (Leipzig) MSC: 13D40 13P10 13D07 PDF BibTeX XML Cite \textit{C. A. Francisco} and \textit{B. P. Richert}, Lect. Notes Pure Appl. Math. 254, 113--144 (2007; Zbl 1125.13008)
Mermin, Jeffrey; Peeva, Irena Hilbert functions and lex ideals. (English) Zbl 1194.13018 J. Algebra 313, No. 2, 642-656 (2007). MSC: 13D40 PDF BibTeX XML Cite \textit{J. Mermin} and \textit{I. Peeva}, J. Algebra 313, No. 2, 642--656 (2007; Zbl 1194.13018) Full Text: DOI
Mermin, Jeffrey; Peeva, Irena Lexifying ideals. (English) Zbl 1113.13012 Math. Res. Lett. 13, No. 2-3, 409-422 (2006). Reviewer: Hans-Gert Gräbe (Leipzig) MSC: 13P10 13F20 13D40 PDF BibTeX XML Cite \textit{J. Mermin} and \textit{I. Peeva}, Math. Res. Lett. 13, No. 2--3, 409--422 (2006; Zbl 1113.13012) Full Text: DOI
Yılmaz, Erol; Kılıçarslan, Sibel Minimal homogeneous bases for polynomial ideals. (English) Zbl 1088.13014 Appl. Algebra Eng. Commun. Comput. 15, No. 3-4, 267-278 (2004). Reviewer: Hans-Gert Gräbe (Leipzig) MSC: 13P10 13D02 PDF BibTeX XML Cite \textit{E. Yılmaz} and \textit{S. Kılıçarslan}, Appl. Algebra Eng. Commun. Comput. 15, No. 3--4, 267--278 (2004; Zbl 1088.13014) Full Text: DOI
Shakin, D. A. Piecewise lexsegment ideals. (English. Russian original) Zbl 1076.13008 Sb. Math. 194, No. 11, 1701-1724 (2003); translation from Mat. Sb. 194, No. 11, 117-140 (2003). MSC: 13D40 13A02 13F20 PDF BibTeX XML Cite \textit{D. A. Shakin}, Sb. Math. 194, No. 11, 1701--1724 (2003; Zbl 1076.13008); translation from Mat. Sb. 194, No. 11, 117--140 (2003) Full Text: DOI
Bekmetjev, Airat; Brightwell, Graham; Czygrinow, Andrzej; Hurlbert, Glenn Thresholds for families of multisets, with an application to graph pebbling. (English) Zbl 1028.05112 Discrete Math. 269, No. 1-3, 21-34 (2003). Reviewer: William G.Brown (Montréal) MSC: 05D05 05C35 60C05 05C80 05A20 PDF BibTeX XML Cite \textit{A. Bekmetjev} et al., Discrete Math. 269, No. 1--3, 21--34 (2003; Zbl 1028.05112) Full Text: DOI arXiv
Mora, Ferdinando De nugis Groebnerialium. II: Applying Macaulay’s trick in order to easily write a Gröbner basis. (English) Zbl 1017.13011 Appl. Algebra Eng. Commun. Comput. 13, No. 6, 437-446 (2003). MSC: 13P10 13F20 PDF BibTeX XML Cite \textit{F. Mora}, Appl. Algebra Eng. Commun. Comput. 13, No. 6, 437--446 (2003; Zbl 1017.13011) Full Text: DOI
Shakin, D. A. Some generalizations of Macaulay’s combinatorial theorem for residue rings. (English. Russian original) Zbl 1031.13009 Sb. Math. 192, No. 9, 1399-1416 (2001); translation from Mat. Sb. 192, No. 9, 143-160 (2001). MSC: 13D40 13F20 13D02 PDF BibTeX XML Cite \textit{D. A. Shakin}, Sb. Math. 192, No. 9, 1399--1416 (2001; Zbl 1031.13009); translation from Mat. Sb. 192, No. 9, 143--160 (2001) Full Text: DOI
Cho, Young Hyun; Iarrobino, Anthony Hilbert functions and level algebras. (English) Zbl 1094.13521 J. Algebra 241, No. 2, 745-758 (2001). MSC: 13D40 PDF BibTeX XML Cite \textit{Y. H. Cho} and \textit{A. Iarrobino}, J. Algebra 241, No. 2, 745--758 (2001; Zbl 1094.13521) Full Text: DOI
Blancafort, Cristina; Nollet, Scott Hilbert polynomials over Artinian rings. (English) Zbl 0956.13002 Ill. J. Math. 43, No. 2, 338-349 (1999). Reviewer: William H.Gustafson (Lubbock) MSC: 13D40 13E10 13A02 PDF BibTeX XML Cite \textit{C. Blancafort} and \textit{S. Nollet}, Ill. J. Math. 43, No. 2, 338--349 (1999; Zbl 0956.13002)
Geramita, A. V.; Shin, Y. S. \(k\)-configurations in \(\mathbb{P}^3\) all have extremal resolutions. (English) Zbl 1035.14020 Geramita, Anthony V. (ed.), The curves seminar at Queen’s. Vol. XI. Papers from the seminar held at Queen’s University, Kingston, Canada, 1997. Kingston: Queen’s University (ISBN 0-88911-749-7/pbk). Queen’s Pap. Pure Appl. Math. 105, 118-130 (1997). MSC: 14M05 14N20 13D40 PDF BibTeX XML Cite \textit{A. V. Geramita} and \textit{Y. S. Shin}, Queen's Pap. Pure Appl. Math. 105, 118--130 (1997; Zbl 1035.14020)
Bigatti, A. M.; Robbiano, L. Borel sets and sectional matrices. (English) Zbl 0918.13009 Ann. Comb. 1, No. 3, 197-213 (1997). Reviewer: J.Rosenknop MSC: 13F20 13D40 05A15 14N10 PDF BibTeX XML Cite \textit{A. M. Bigatti} and \textit{L. Robbiano}, Ann. Comb. 1, No. 3, 197--213 (1997; Zbl 0918.13009) Full Text: DOI
Reeves, Alyson; Stillman, Mike Smoothness of the lexicographic point. (English) Zbl 0924.14004 J. Algebr. Geom. 6, No. 2, 235-246 (1997). MSC: 14C05 13D40 PDF BibTeX XML Cite \textit{A. Reeves} and \textit{M. Stillman}, J. Algebr. Geom. 6, No. 2, 235--246 (1997; Zbl 0924.14004)