Abdallah, Nancy; Altafi, Nasrin; De Poi, Pietro; Fiorindo, Luca; Iarrobino, Anthony; Marques, Pedro Macias; Mezzetti, Emilia; Mirò-Roig, Rosa Maria; Nicklasson, Lisa Hilbert functions and Jordan type of Perazzo Artinian algebras. (English) Zbl 07951365 Nagel, Uwe (ed.) et al., Lefschetz properties. Current and new directions. Based on the presentations at the meeting on strong and weak Lefschetz properties, Cortona, Italy, September 12–16, 2022. Singapore: Springer. Springer INdAM Ser. 59, 59-80 (2024); correction ibid. C1 (2022). MSC: 13D40 13D02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Altafi, Nasrin; Iarrobino, Anthony; Marques, Pedro Macias Jordan type of an Artinian algebra, a survey. (English) Zbl 07951362 Nagel, Uwe (ed.) et al., Lefschetz properties. Current and new directions. Based on the presentations at the meeting on strong and weak Lefschetz properties, Cortona, Italy, September 12–16, 2022. Singapore: Springer. Springer INdAM Ser. 59, 1-27 (2024). MSC: 13D40 13D02 13H10 13E10 13M05 14B07 14C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rhoades, Brendon Increasing subsequences, matrix loci and Viennot shadows. (English) Zbl 07946592 Forum Math. Sigma 12, Paper No. e97, 23 p. (2024). MSC: 05E10 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Masuti, Shreedevi K. The Hilbert function of local Artinian level algebras of codimension \(3\) and type \(2\). (English) Zbl 07936205 Iarrobino, Anthony (ed.) et al., Deformation of Artinian algebras and Jordan type. AMS-EMS-SMF special session, Université Grenoble Alpes, Grenoble, France, July 18–22, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 805, 189-203 (2024). MSC: 13D40 13H10 13A30 13J05 13F20 × Cite Format Result Cite Review PDF Full Text: DOI
Homs, Roser; Winz, Anna-Lena Deformations of local Artin rings via Hilbert-Burch matrices. (English) Zbl 07936204 Iarrobino, Anthony (ed.) et al., Deformation of Artinian algebras and Jordan type. AMS-EMS-SMF special session, Université Grenoble Alpes, Grenoble, France, July 18–22, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 805, 169-187 (2024). MSC: 13D02 14C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abdallah, Nancy A note on Artin Gorenstein algebras with Hilbert function \((1,4,k,k,4,1)\). (English) Zbl 07936196 Iarrobino, Anthony (ed.) et al., Deformation of Artinian algebras and Jordan type. AMS-EMS-SMF special session, Université Grenoble Alpes, Grenoble, France, July 18–22, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 805, 57-66 (2024). MSC: 13E10 13F55 13D40 13C13 13D02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Hongmiao Componentwise linearity under square-free Gröbner degenerations. (English) Zbl 07905770 J. Commut. Algebra 16, No. 3, 369-377 (2024). MSC: 13D07 13D10 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Abedelfatah, Abed Another proof of a theorem of Caviglia and De Stefani concerning the Eisenbud-Green-Harris conjecture. (English) Zbl 07903245 Commun. Algebra 52, No. 9, 3915-3920 (2024). MSC: 13A02 × Cite Format Result Cite Review PDF Full Text: DOI
DiPasquale, Michael; Yuan, Beihui Bivariate splines on a triangulation with a single totally interior edge. (English) Zbl 07902821 SIAM J. Appl. Algebra Geom. 8, No. 3, 686-712 (2024). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 41A15 13P25 13P10 11P21 52C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Santos, Francisco How many faces does a (simplicial) polyhedron have? ({?‘}Cuántas caras puede tener un poliedro (simplicial)?) (Spanish) Zbl 07871117 Gac. R. Soc. Mat. Esp. 27, No. 1, 167-193 (2024). MSC: 52B05 55U10 × Cite Format Result Cite Review PDF Full Text: Link
Zanello, Fabrizio Log-concavity of level Hilbert functions and pure \(O\)-sequences. (English) Zbl 1545.13016 J. Commut. Algebra 16, No. 2, 245-256 (2024). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13D40 05E40 13E10 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Iarrobino, Anthony A. Log-concave Gorenstein sequences. (English) Zbl 07823245 J. Commut. Algebra 16, No. 1, 25-36 (2024). MSC: 13E10 13D40 13H10 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Miró-Roig, Rosa M.; Pérez, Josep Perazzo hypersurfaces and the weak Lefschetz property. (English) Zbl 1539.13049 J. Algebra 646, 357-375 (2024). Reviewer: Scott Nollet (Fort Worth) MSC: 13E10 13D40 14M05 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Yun; Ng, Sui-Chung A hyperplane restriction theorem for holomorphic mappings and its application for the gap conjecture. (English) Zbl 1545.32041 Math. Ann. 388, No. 3, 3169-3182 (2024). Reviewer: Emil J. Straube (College Station) MSC: 32H35 32V15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ceria, Michela; Mora, Teo Towards a Gröbner-free approach to coding. (English) Zbl 1534.94128 Des. Codes Cryptography 92, No. 1, 179-204 (2024). MSC: 94B35 94B15 05E40 13P10 × Cite Format Result Cite Review PDF Full Text: DOI
Heitmann, Raymond C. Numbers of generators of perfect ideals. (English) Zbl 1529.13012 J. Algebra 637, 132-155 (2024). Reviewer: Othman Echi (Dhahran) MSC: 13E15 13H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abdallah, Nancy; Schenck, Hal Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four. (English) Zbl 1524.13065 J. Symb. Comput. 121, Article ID 102257, 13 p. (2024). Reviewer: Jorge Sentiero Neves (Coimbra) MSC: 13E10 13D02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peeva, Irena Syzygies over a polynomial ring. (English) Zbl 07823038 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1660-1680 (2023). MSC: 13D02 × Cite Format Result Cite Review PDF Full Text: DOI
Novik, Isabella Face numbers: the upper bound side of the story. (English) Zbl 1536.05494 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4622-4644 (2023). Reviewer: Anna Romanowska (Warszawa) MSC: 05E45 05E40 13F55 52B05 52B12 57Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Miró-Roig, Rosa M.; Salat-Moltó, Marti Klyachko diagrams of monomial ideals. (English) Zbl 1532.13027 Algebr. Represent. Theory 26, No. 5, 1497-1517 (2023). Reviewer: Justyna Szpond (Kraków) MSC: 13F65 13F20 14M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chirivì, Rocco; Fang, Xin; Littelmann, Peter Seshadri stratifications and standard monomial theory. (English) Zbl 1525.14060 Invent. Math. 234, No. 2, 489-572 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 14M15 17B10 20G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mora, Teo (ed.) Further perspectives on elimination. (English) Zbl 07721381 Appl. Algebra Eng. Commun. Comput. 34, No. 5, 745-749 (2023). MSC: 00Bxx × Cite Format Result Cite Review PDF Full Text: DOI
Eisenbud, David; Gray, Jeremy F. S. Macaulay: from plane curves to Gorenstein rings. (English) Zbl 1520.01012 Bull. Am. Math. Soc., New Ser. 60, No. 3, 371-406 (2023). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 01A60 13-03 13H10 14-03 × Cite Format Result Cite Review PDF Full Text: DOI
Staal, Andrew P. Hilbert schemes with two Borel-fixed points in arbitrary characteristic. (English) Zbl 1525.14008 Commun. Algebra 51, No. 7, 2895-2913 (2023). MSC: 14C05 13A35 13C05 13C70 14G17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Skjelnes, Roy; Smith, Gregory G. Smooth Hilbert schemes: their classification and geometry. (English) Zbl 1506.14011 J. Reine Angew. Math. 794, 281-305 (2023). Reviewer: Scott Nollet (Fort Worth) MSC: 14C05 14D06 14L24 13A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Ramkumar, Ritvik Hilbert schemes with two Borel-fixed points. (English) Zbl 1503.13007 J. Algebra 617, 17-47 (2023). Reviewer: Scott Nollet (Fort Worth) MSC: 13D02 14C05 14D22 14J17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ceria, Michela Bar code and Janet-like division. (English) Zbl 07952465 Atti Accad. Peloritana Pericolanti, Cl. Sci. Fis. Mat. Nat. 100, No. 1, Paper No. A2, 10 p. (2022). MSC: 13F55 13C70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fröberg, Ralf Hilbert series of generic ideals in products of projective spaces. (English) Zbl 1506.13017 Exp. Math. 31, No. 4, 1370-1372 (2022). MSC: 13C13 13D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Güntürkün, Sema A survey on the Eisenbud-Green-Harris conjecture. (English) Zbl 1496.13026 Miller, Claudia (ed.) et al., Women in commutative algebra. Proceedings of the 2019 WICA workshop, Banff, Alberta, Canada, October 20–25, 2019. Cham: Springer. Assoc. Women Math. Ser. 29, 327-342 (2022). MSC: 13D40 13D02 13-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Altafi, Nasrin; Lundqvist, Samuel Monomial ideals and the failure of the strong Lefschetz property. (English) Zbl 1498.13001 Collect. Math. 73, No. 3, 383-390 (2022). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13A02 13D40 13E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gu, Cindy C. Y.; Wang, Larry X. W. Lattice paths and \((n - 2)\)-stack sortable permutations. (English) Zbl 1491.05007 J. Comb. Theory, Ser. A 190, Article ID 105622, 13 p. (2022). MSC: 05A05 05C45 68P10 68R10 × Cite Format Result Cite Review PDF Full Text: DOI
Athanasiadis, Christos A.; Brunink, Jan-Marten; Juhnke-Kubitzke, Martina Combinatorics of antiprism triangulations. (English) Zbl 1490.05280 Discrete Comput. Geom. 68, No. 1, 72-106 (2022). MSC: 05E45 05A05 05A18 13C14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Altafi, Nasrin Jordan types with small parts for Artinian Gorenstein algebras of codimension three. (English) Zbl 1522.13030 Linear Algebra Appl. 646, 54-83 (2022). Reviewer: Leila Khatami (Schenectady) MSC: 13E10 13D40 13H10 05A17 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Donato, Joseph; Lewis, Monica; Ryan, Tim; Udrenas, Faustas; Zhang, Zijian The sum of the Betti numbers of smooth Hilbert schemes. (English) Zbl 1485.14006 J. Algebr. Comb. 55, No. 2, 393-411 (2022). Reviewer: Zhenbo Qin (Columbia) MSC: 14C05 13D02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Park, Jung Pil; Shin, Yong-Su Gorenstein sequences of high socle degrees. (English) Zbl 1485.13044 J. Korean Math. Soc. 59, No. 1, 71-85 (2022). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13D40 13H10 14C20 × Cite Format Result Cite Review PDF Full Text: DOI
Kloosterman, Remke Maximal families of nodal varieties with defect. (English) Zbl 1495.32071 Math. Z. 300, No. 2, 1141-1156 (2022). Reviewer: Mihai-Marius Tibar (Lille) MSC: 32S20 14J30 14J70 14M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Altafi, Nasrin Hilbert functions of Artinian Gorenstein algebras with the strong Lefschetz property. (English) Zbl 1492.13022 Proc. Am. Math. Soc. 150, No. 2, 499-513 (2022). Reviewer: Shreedevi K. Masuti (Dharwad) MSC: 13E10 13D40 13H10 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eliahou, Shalom; Mazumdar, Eshita Iterated sumsets and Hilbert functions. (English) Zbl 1479.13036 J. Algebra 593, 274-294 (2022). MSC: 13P25 11P70 05E40 11B13 13D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ramkumar, Ritvik; Sammartano, Alessio On the smoothness of lexicographic points on Hilbert schemes. (English) Zbl 1471.14011 J. Pure Appl. Algebra 226, No. 3, Article ID 106872, 12 p. (2022). Reviewer: Scott Nollet (Fort Worth) MSC: 14C05 13F20 13F55 15A75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caviglia, Giulio; De Stefani, Alessandro; Sbarra, Enrico The Eisenbud-Green-Harris conjecture. (English) Zbl 1498.13031 Peeva, Irena (ed.), Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 159-187 (2021). MSC: 13D02 13D22 13D40 13-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elek, Gábor; Grabowski, Łukasz Almost commuting matrices with respect to the rank metric. (English) Zbl 1491.15022 Groups Geom. Dyn. 15, No. 3, 1059-1083 (2021). Reviewer: Liang Liao (London) MSC: 15A27 15B57 15A60 47A55 94B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Drensky, Vesselin Graded algebras, algebraic functions, planar trees, and elliptic integrals. (English) Zbl 1494.16044 Di Vincenzo, Onofrio Mario (ed.) et al., Polynomial identities in algebras. Proceedings of the INDAM workshop, Roma, Italy, September 16–20, 2019. Cham: Springer. Springer INdAM Ser. 44, 157-194 (2021). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16W50 16R10 16S30 17A01 17B70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Juhnke-Kubitzke, Martina; Venturello, Lorenzo Graded Betti numbers of balanced simplicial complexes. (English) Zbl 1482.05352 Acta Math. Vietnam. 46, No. 4, 839-871 (2021). Reviewer: Andrés R. Vindas Meléndez (Berkeley) MSC: 05E40 05E45 13F55 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brooks, Jennifer; Grundmeier, Dusty Sum of squares conjecture: the monomial case in \(\mathbb{C}^3\). (English) Zbl 1484.32001 Math. Z. 299, No. 1-2, 919-940 (2021). Reviewer: Jiri Lebl (Stillwater) MSC: 32A08 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Homs, Roser; Winz, Anna-Lena Canonical Hilbert-Burch matrices for power series. (English) Zbl 1465.13012 J. Algebra 583, 1-24 (2021). Reviewer: Ali Benhissi (Monastir) MSC: 13D02 14C05 13P10 13F25 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fröberg, Ralf Some comments to a result by Moreno. (English) Zbl 1462.13015 Commun. Algebra 49, No. 6, 2704-2706 (2021). MSC: 13D40 × Cite Format Result Cite Review PDF Full Text: DOI
Iohara, Kenji; Malbos, Philippe Maurice Janet’s algorithms on systems of linear partial differential equations. (English) Zbl 1467.01007 Arch. Hist. Exact Sci. 75, No. 1, 43-81 (2021). Reviewer: Reinhard Siegmund-Schultze (Kristiansand) MSC: 01A60 13P10 35-03 35A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Iarrobino, Anthony; Macias Marques, Pedro Symmetric decomposition of the associated graded algebra of an Artinian Gorenstein algebra. (English) Zbl 1453.13067 J. Pure Appl. Algebra 225, No. 3, Article ID 106496, 49 p. (2021). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13H10 13E10 14B07 14C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Favacchio, Giuseppe The Hilbert function of bigraded algebras in \(k[\mathbb{P}^1 \times \mathbb{P}^1]\). (English) Zbl 1458.13021 J. Commut. Algebra 12, No. 4, 479-487 (2020). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13F20 13A15 13D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koley, Mitra Poset embeddings of Hilbert functions for two hypersurface rings. (English) Zbl 1442.13046 J. Commut. Algebra 12, No. 3, 371-389 (2020). MSC: 13D40 06A11 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Ceria, Michela Bar code: a visual representation for finite sets of terms and its applications. (English) Zbl 1456.05182 Math. Comput. Sci. 14, No. 2, 497-513 (2020). MSC: 05E40 13P10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Iohara, Kenji; Malbos, Philippe From analytical mechanics problems to rewriting theory through M. Janet’s work. (English) Zbl 1446.13022 Iohara, Kenji (ed.) et al., Two algebraic byways from differential equations: Gröbner bases and quivers. Cham: Springer. Algorithms Comput. Math. 28, 3-74 (2020). MSC: 13P10 13-03 01A60 × Cite Format Result Cite Review PDF Full Text: DOI HAL
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 × Cite Format Result Cite Review PDF Full Text: DOI
Katthän, Lukas; Moyano-Fernández, Julio José; Uliczka, Jan Which series are Hilbert series of graded modules over standard multigraded polynomial rings? (English) Zbl 1485.13027 Math. Nachr. 293, No. 1, 129-146 (2020). MSC: 13C05 05E40 13A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Favacchio, Giuseppe A numerical property of Hilbert functions and lex segment ideals. (English) Zbl 1439.13050 J. Korean Math. Soc. 57, No. 3, 777-792 (2020). MSC: 13F20 13A15 13D40 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le, Dinh Van; Römer, Tim A Kruskal-Katona type result and applications. (English) Zbl 1435.05198 Discrete Math. 343, No. 5, Article ID 111801, 12 p. (2020). MSC: 05D05 05E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Amata, Luca; Crupi, Marilena Hilbert functions of graded modules over an exterior algebra: an algorithmic approach. (English) Zbl 1430.13002 Int. Electron. J. Algebra 27, 271-287 (2020). Reviewer: Hero Saremi (Sanandaj) MSC: 13A02 15A75 18G10 68W30 × Cite Format Result Cite Review PDF Full Text: Link
Bigatti, Anna; Palezzato, Elisa; Torielli, Michele Extremal behavior in sectional matrices. (English) Zbl 1441.13041 J. Algebra Appl. 18, No. 3, Article ID 1950041, 19 p. (2019). Reviewer: Hero Saremi (Sanandaj) MSC: 13D40 05E40 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertone, Cristina; Cioffi, Francesca; Franco, Davide Functors of liftings of projective schemes. (English) Zbl 1440.14235 J. Symb. Comput. 94, 105-125 (2019). Reviewer: Noémie Combe (Leipzig) MSC: 14N05 13C40 13P10 14Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stanley, Richard P.; Zanello, Fabrizio A note on the asymptotics of the number of \(O\)-sequences of given length. (English) Zbl 1437.05024 Discrete Math. 342, No. 7, 2033-2034 (2019). Reviewer: Stephan Wagner (Uppsala) MSC: 05A20 05A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Codenotti, Giulia; Katthän, Lukas; Sanyal, Raman On \(f\)- and \(h\)-vectors of relative simplicial complexes. (English) Zbl 1414.05319 Algebr. Comb. 2, No. 3, 343-353 (2019). MSC: 05E45 05E40 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ceria, Michela Bar code for monomial ideals. (English) Zbl 1423.13104 J. Symb. Comput. 91, 30-56 (2019). Reviewer: Eduardo Saenz-de-Cabezon (Logroño) MSC: 13F20 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kopparty, Swastik; Srinivasan, Srikanth Certifying polynomials for \(\mathsf{AC}^0[\oplus]\) circuits, with applications to lower bounds and circuit compression. (English) Zbl 1412.68071 Theory Comput. 14, Paper No. 12, 24 p. (2018). MSC: 68Q17 68Q15 94C10 × Cite Format Result Cite Review PDF Full Text: DOI
Witowicz, Paweł Minimal growth function of uniform amenability for discrete abelian groups. (English) Zbl 1443.20073 Bull. Pol. Acad. Sci., Math. 66, No. 2, 135-141 (2018). MSC: 20F65 20K21 05A20 20F69 × Cite Format Result Cite Review PDF Full Text: DOI
Brown, J. I.; Cox, D. Optimal graphs for independence and \(k\)-independence polynomials. (English) Zbl 1402.05106 Graphs Comb. 34, No. 6, 1445-1457 (2018). MSC: 05C31 05C69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jamroz, Christina; Sosa, Gabriel Betti numbers of piecewiselex ideals. (English) Zbl 1442.13039 J. Commut. Algebra 10, No. 3, 339-345 (2018). Reviewer: Anda-Georgina Olteanu (Constanţa) MSC: 13D02 13F20 13P20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Caviglia, Giulio; Sammartano, Alessio On the Lex-plus-powers conjecture. (English) Zbl 1408.13032 Adv. Math. 340, 284-299 (2018). Reviewer: Peter Schenzel (Halle) MSC: 13D02 13C40 13D40 13F20 14M06 14M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Skjelnes, Roy Mikael Quot schemes in Grassmannians. (English) Zbl 1405.13020 Indiana Univ. Math. J. 67, No. 2, 623-643 (2018). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13C10 14C05 14D22 14N99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boij, Mats; Migliore, Juan; Miró-Roig, Rosa M.; Nagel, Uwe The non-Lefschetz locus. (English) Zbl 1393.13036 J. Algebra 505, 288-320 (2018). Reviewer: Andrew Kustin (Columbia) MSC: 13E10 13H10 13C40 13D40 13A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gustavson, Richard; León Sánchez, Omar Effective bounds for the consistency of differential equations. (English) Zbl 1395.12002 J. Symb. Comput. 89, 41-72 (2018). MSC: 12H05 14Q20 35G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Masuti, Shreedevi K.; Rossi, M. E. Artinian level algebras of socle degree 4. (English) Zbl 1392.13008 J. Algebra 507, 525-546 (2018). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13H10 13H15 14C05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ahn, Jeaman; Migliore, Juan C.; Shin, Yong-Su Green’s theorem and Gorenstein sequences. (English) Zbl 1390.13048 J. Pure Appl. Algebra 222, No. 2, 387-413 (2018). Reviewer: Peter Schenzel (Halle) MSC: 13D40 13H10 14C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adiprasito, Karim A.; Björner, Anders; Goodarzi, Afshin Face numbers of sequentially Cohen-Macaulay complexes and Betti numbers of componentwise linear ideals. (English) Zbl 1381.05093 J. Eur. Math. Soc. (JEMS) 19, No. 12, 3851-3865 (2017). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 05E45 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kloosterman, Remke Nodal surfaces with obstructed deformations. (English) Zbl 1388.14128 Geom. Dedicata 190, 143-150 (2017). Reviewer: Tomohiro Okuma (Yamagata) MSC: 14J70 14J17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ahn, Jeaman; Shin, Yong-Su Nonunimodal Gorenstein sequences of higher socle degrees. (English) Zbl 1365.13028 J. Algebra 477, 239-277 (2017). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13D40 13H10 14C20 × Cite Format Result Cite Review PDF Full Text: DOI
Migliore, Juan; Zanello, Fabrizio Stanley’s nonunimodal Gorenstein \(h\)-vector is optimal. (English) Zbl 1350.13014 Proc. Am. Math. Soc. 145, No. 1, 1-9 (2017). Reviewer: Siamak Yassemi (Tehran) MSC: 13D40 13H10 13E10 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Stefani, Alessandro A counterexample to a conjecture of Ding. (English) Zbl 1401.13071 J. Algebra 452, 324-337 (2016). Reviewer: Sabine El Khoury (Beirut) MSC: 13H10 13C05 13C14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caviglia, Giulio; Sbarra, Enrico The lex-plus-powers inequality for local cohomology modules. (English) Zbl 1410.13009 Math. Ann. 364, No. 1-2, 225-241 (2016). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13D02 13D45 14B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Dellaca, Roger Gotzmann regularity for globally generated coherent sheaves. (English) Zbl 1338.13028 J. Pure Appl. Algebra 220, No. 4, 1576-1587 (2016). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13D40 14C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chong, Kai Fong Ernest An application of liaison theory to the Eisenbud-Green-Harris conjecture. (English) Zbl 1393.13033 J. Algebra 445, 221-231 (2016). Reviewer: Susan Marie Cooper (Winnipeg) MSC: 13D40 14M06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertone, Cristina; Cioffi, Francesca; Guida, Margherita; Roggero, Margherita The scheme of liftings and applications. (English) Zbl 1408.13071 J. Pure Appl. Algebra 220, No. 1, 34-54 (2016). MSC: 13P10 14B10 14M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cioffi, Francesca; Lella, Paolo; Marinari, Maria Grazia A combinatorial description of finite O-sequences and ACM genera. (English) Zbl 1323.13001 J. Symb. Comput. 73, 104-119 (2015). Reviewer: Dancheng Lu (Suzhou) MSC: 13C14 14N10 14H99 14Q05 05C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chong, Kai Fong Ernest Hilbert functions of colored quotient rings and a generalization of the Clements-Lindström theorem. (English) Zbl 1327.13004 J. Algebr. Comb. 42, No. 1, 1-23 (2015). MSC: 13A02 13C05 13D40 13F55 05D99 05E40 05E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Yu Macaulay-Lex ideals, some generalized Clements-Lindström ideals. (English) Zbl 1328.13025 Commun. Algebra 43, No. 9, 3967-3978 (2015). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 13F20 × Cite Format Result Cite Review PDF Full Text: DOI
Murai, Satoshi Tight combinatorial manifolds and graded Betti numbers. (English) Zbl 1409.13041 Collect. Math. 66, No. 3, 367-386 (2015). MSC: 13F55 05E45 13D02 57Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Constantinescu, Alexandru; Mateev, Matey Determinantal schemes and pure O-sequences. (English) Zbl 1320.13016 J. Pure Appl. Algebra 219, No. 9, 3873-3888 (2015). Reviewer: Fatemeh Mohammadi (Marburg) MSC: 13C40 13D40 05E40 06A07 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grundmeier, Dusty; Halfpap Kacmarcik, Jennifer An application of Macaulay’s estimate to sums of squares problems in several complex variables. (English) Zbl 1349.32007 Proc. Am. Math. Soc. 143, No. 4, 1411-1422 (2015). MSC: 32A99 13D40 32A17 32H99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pastine, Adrián; Zanello, Fabrizio Two unfortunate properties of pure \(f\)-vectors. (English) Zbl 1306.05258 Proc. Am. Math. Soc. 143, No. 3, 955-964 (2015). MSC: 05E40 13F55 05E45 05B07 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abedelfatah, Abed On the Eisenbud-Green-Harris conjecture. (English) Zbl 1317.13002 Proc. Am. Math. Soc. 143, No. 1, 105-115 (2015). Reviewer: Muhammad Zafrullah (Pocatello) MSC: 13A02 13A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cooper, Susan M.; Harbourne, Brian Regina lectures on fat points. (English) Zbl 1315.14012 Cooper, Susan M. (ed.) et al., Connections between algebra, combinatorics, and geometry. Selected papers based on the presentations at the workshop, Regina, Canada, May 29 – June 1, 2012, the special session on interactions between algebraic geometry and commutative algebra, Regina, Canada, June 2–3, 2012 and the conference on further connections between algebra and geometry, Fargo, ND, USA, February 2–3, 2013. New York, NY: Springer (ISBN 978-1-4939-0625-3/hbk; 978-1-4939-0626-0/ebook). Springer Proceedings in Mathematics & Statistics 76, 147-187 (2014). MSC: 14C20 14M05 14N05 13D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Constantinescu, Alexandru; Kahle, Thomas; Varbaro, Matteo Generic and special constructions of pure \(O\)-sequences. (English) Zbl 1309.05188 Bull. Lond. Math. Soc. 46, No. 5, 924-942 (2014). Reviewer: Geir Agnarsson (Fairfax) MSC: 05E45 05E40 05B35 13D40 13E10 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caviglia, Giulio; Sbarra, Enrico Distractions of Shakin rings. (English) Zbl 1314.13003 J. Algebra 419, 318-331 (2014). Reviewer: Kuei-Nuan Lin (McKeesport) MSC: 13A02 13D02 13P10 13P20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buczyńska, Weronika; Buczyński, Jarosław Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes. (English) Zbl 1295.14047 J. Algebr. Geom. 23, No. 1, 63-90 (2014). Reviewer: Roberto Munoz (Madrid) MSC: 14N05 14M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hurlbert, Glenn General graph pebbling. (English) Zbl 1277.05157 Discrete Appl. Math. 161, No. 9, 1221-1231 (2013). MSC: 05C99 × Cite Format Result Cite Review PDF Full Text: DOI
Hà, Huy Tài; Stokes, Erik; Zanello, Fabrizio Pure \(O\)-sequences and matroid \(h\)-vectors. (English) Zbl 1272.05020 Ann. Comb. 17, No. 3, 495-508 (2013). MSC: 05B35 05E45 05E40 13H10 13D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eisenbud, David; Peeva, Irena Standard decompositions in generic coordinates. (English) Zbl 1273.13036 J. Commut. Algebra 5, No. 2, 171-178 (2013). Reviewer: Siamak Yassemi (Tehran) MSC: 13F20 13C15 × Cite Format Result Cite Review PDF Full Text: DOI Euclid