Higher resonance schemes and Koszul modules of simplicial complexes. (English) Zbl 07879470
Reviewer: Nathan Grieve (Wolfville)
Found 415 Documents (Results 1–100)
Rees algebra of maximal order Pfaffians and its diagonal subalgebras. (English) Zbl 07834066
Reviewer: Andrew Kustin (Columbia)
Hochschild and cyclic (co)homology of the Fomin-Kirillov algebra on 3 generators. (English) Zbl 07828317
Reviewer: Yining Zhang (Singapura)
Cofiniteness of modules and local cohomology. (English) Zbl 1535.13024
Reviewer: Hossein Faridian (Clemson)
Positivity and nonstandard graded Betti numbers. (English) Zbl 1536.13015
Reviewer: Nathan Grieve (Wolfville)
Generic lines in projective space and the Koszul property. (English) Zbl 1532.13013
Reviewer: Juan C. Migliore (Notre Dame)
Homological methods in commutative algebra. (English) Zbl 1539.13040
Graduate Studies in Mathematics 234. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7128-6/hbk; 978-1-4704-7436-2/pbk; 978-1-4704-7435-5/ebook). xviii, 411 p. (2023).
Reviewer: Hossein Faridian (Clemson)
Derived homotopy algebras. (English) Zbl 1518.18015
Reviewer: Marek Golasiński (Olsztyn)
Cyclic \(A_\infty\)-algebras and cyclic homology. (English) Zbl 1522.16007
Reviewer: Angela Gammella-Mathieu (Metz)
On restricted powers of complete intersections. (English) Zbl 1510.13006
Reviewer: Siamak Yassemi (Tehran)
Independent sequences and freeness criteria. (English) Zbl 1515.13009
Reviewer: Maryam Jahangiri (Tehran)
Monomial projections of Veronese varieties: new results and conjectures. (English) Zbl 1514.14061
Reviewer: Peter Schenzel (Halle)
Depth and width for unbounded DG-modules. (English) Zbl 1514.13008
Reviewer: Radoslav M. Dimitrić (New York)
Quadratic Gorenstein rings and the Koszul property. II. (English) Zbl 1508.13014
Reviewer: Juan C. Migliore (Notre Dame)
Generalized Koszul algebra and Koszul duality. (English) Zbl 1529.16027
Reviewer: Constantin Năstăsescu (Bucureşti)
A self-dual complete resolution. (English) Zbl 1504.13016
Reviewer: Li Liang (Lanzhou)
Vector-spread monomial ideals and Eliahou-Kervaire type resolutions. (English) Zbl 1505.13015
Reviewer: Giuseppe Favacchio (Palermo)
Curved Koszul duality of algebras over unital versions of binary operads. (English) Zbl 1508.18017
Reviewer: Benoît Fresse (Villeneuve d’Ascq)
Koszul homomorphisms and universal resolutions in local algebra. arXiv:2310.08400
Preprint, arXiv:2310.08400 [math.AC] (2023).
Asymptotic vanishing of syzygies of algebraic varieties. (English) Zbl 1533.14013
Reviewer: Wenbo Niu (Fayetteville)
Gerstenhaber structure on Hochschild cohomology of the Fomin-Kirillov algebra on 3 generators. (English) Zbl 1511.16009
Reviewer: Lleonard Rubio y Degrassi (Verona)
On the third squarefree Veronese subring. (English) Zbl 1512.13009
Reviewer: Ali Akbar Yazdan Pour (Zanjan)
A truncated minimal free resolution of the residue field. (English) Zbl 1496.13021
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, 399-437 (2022).
Canonical resolutions over Koszul algebras. (English) Zbl 1496.16028
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, 281-301 (2022).
A survey on the Koszul homology algebra. (English) Zbl 1496.13018
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, 257-279 (2022).
Koszul homology of quotients by edge ideals. (English) Zbl 1505.13022
Reviewer: Tongsuo Wu (Shanghai)
Hochschild cohomology, finiteness conditions and a generalization of \(d\)-Koszul algebras. (English) Zbl 1522.16010
Reviewer: Lleonard Rubio y Degrassi (Verona)
Annihilators of Koszul homologies and almost complete intersections. (English) Zbl 1495.13023
Reviewer: Takesi Kawasaki (Tokyo)
Vanishing of Avramov obstructions for products of sequentially transverse ideals. (English) Zbl 1496.13022
Reviewer: Mohammad-Reza Doustimehr (Tabriz)
Projective dimension and Castelnuovo-Mumford regularity of \(t\)-spread ideals. (English) Zbl 1536.05492
Cohomological supports of tensor products of modules over commutative rings. (English) Zbl 1493.13021
Reviewer: Peter Schenzel (Halle)
Resolutions of operads via Koszul (bi)algebras. (English) Zbl 1496.18022
Reviewer: Loïc Foissy (Calais)
Twisted bi-symplectic structure on Koszul twisted Calabi-Yau algebras. (English) Zbl 1506.16013
Reviewer: Yining Zhang (Singapore)
On monomial Golod ideals. (English) Zbl 1484.13035
Reviewer: Eduardo Saenz-de-Cabezon (Logroño)
Bi-graded Koszul modules, \(K3\) carpets, and Green’s conjecture. (English) Zbl 1486.14050
Reviewer: Nathan Grieve (Kingston)
A Classical Bulk-Boundary Correspondence. arXiv:2202.12332
Preprint, arXiv:2202.12332 [math.QA] (2022).
Boardman-Vogt resolutions and bar/cobar constructions of (co)operadic (co)bimodules. (English) Zbl 1483.18024
Reviewer: Hirokazu Nishimura (Tsukuba)
Graded Bourbaki ideals of graded modules. (English) Zbl 1483.13006
Reviewer: Maral Mostafazadehfard (Rio de Janeiro)
Čech (co-) complexes as Koszul complexes and applications. (English) Zbl 1481.13034
Reviewer: Kamran Divaani-Aazar (Tehran)
Symbolic powers of cover ideals of graphs and Koszul property. (English) Zbl 1476.13018
Reviewer: Fahimeh Khosh-Ahang Ghasr (Ilam)
Noncommutative matrix factorizations with an application to skew exterior algebras. (English) Zbl 1487.16008
Regularity and Koszul property of symbolic powers of monomial ideals. (English) Zbl 1469.13028
Reviewer: Jorge Neves (Coimbra)
Linear resolutions over Koszul complexes and Koszul homology algebras. (English) Zbl 1476.13020
Reviewer: Özgür Esentepe (Toronto)
The Koszul homology algebra of the second Veronese is generated by the lowest strand. (English) Zbl 1457.13030
Reviewer: Giuseppe Favacchio (Catania)
Quadratic Gorenstein rings and the Koszul property I. (English) Zbl 1457.13032
Reviewer: Nathan Grieve (Ottawa)
Betti numbers of Koszul algebras defined by four quadrics. (English) Zbl 1452.13014
Reviewer: Andrew Kustin (Columbia)
Curved Koszul duality and cyclic (co)homology. arXiv:2110.04893
Preprint, arXiv:2110.04893 [math.RA] (2021).
Classification and syzygies of smooth projective varieties with 2-regular structure sheaf. (English) Zbl 1521.14036
Exceptional collections on certain Hassett spaces. (Collections exceptionnelles sur certains espaces de Hassett.) (English. French summary) Zbl 1468.14036
Universally Koszul and initially Koszul properties of Orlik-Solomon algebras. (English) Zbl 1469.16057
Quadratic Gorenstein algebras with many surprising properties. (English) Zbl 1454.13044
Reviewer: Juan C. Migliore (Notre Dame)
A survey on Koszul algebras and Koszul duality. (English) Zbl 1436.13029
Ambily, A. A. (ed.) et al., Leavitt path algebras and classical \(K\)-theory. Based on the international workshop on Leavitt path algebras and \(K\)-theory, Kerala, India, July 1–3, 2017. Singapore: Springer. Indian Stat. Inst. Ser., 157-176 (2020).
Gröbner bases and dimension formulas for ternary partially associative operads. (English) Zbl 1442.18028
Ambily, A. A. (ed.) et al., Leavitt path algebras and classical \(K\)-theory. Based on the international workshop on Leavitt path algebras and \(K\)-theory, Kerala, India, July 1–3, 2017. Singapore: Springer. Indian Stat. Inst. Ser., 139-155 (2020).
Detecting Koszulness and related homological properties from the algebra structure of Koszul homology. (English) Zbl 1457.13036
Reviewer: Eduardo Saenz-de-Cabezon (Logroño)
Enhanced Koszul properties in Galois cohomology. (English) Zbl 1439.12009
Reviewer: Pierre Guillot (Strasbourg)
Generators of Koszul homology with coefficients in a \(J\)-closed module. (English) Zbl 1470.13023
Reviewer: Aleksandra Sobieska (Madison)
Koszul duality between Betti and cohomology numbers in the Calabi-Yau case. (English) Zbl 1442.14129
Reviewer: Debaditya Raychaudhury (Lawrence)
The absolutely Koszul and Backelin-Roos properties for spaces of quadrics of small codimension. (English) Zbl 1439.13034
MSC:
13D02
Blowup algebras of rational normal scrolls. (English) Zbl 1440.13026
Reviewer: Andrew Kustin (Columbia)
Equivariant isomorphisms of Ext and Tor modules. (English) Zbl 1430.13022
Reviewer: Biju Vasudevan (Jubail)
Two algebraic byways from differential equations: Gröbner bases and quivers. (English) Zbl 1444.14002
Algorithms and Computation in Mathematics 28. Cham: Springer (ISBN 978-3-030-26453-6/hbk; 978-3-030-26454-3/ebook). xi, 371 p. (2020).
MSC:
14-06
16-06
62-06
00B15
13P10
14F10
14H60
14L24
14L30
16D40
16G20
16S37
18C10
18N10
18G10
34M35
34M40
35A25
53D20
58A15
68Q42
Koszul modules and Green’s conjecture. (English) Zbl 1430.14074
Reviewer: Dawei Chen (Chestnut Hill)
Convergent presentations and polygraphic resolutions of associative algebras. (English) Zbl 1423.16008
The curved \(A_\infty\)-coalgebra of the Koszul codual of a filtered dg algebra. (English) Zbl 1472.16007
Reviewer: Zhan Jianming (Enshi)
Bounding the degrees of a minimal \(\mu\)-basis for a rational surface parametrization. (English) Zbl 1470.13022
Applications of one-point extensions to compute the \(A_\infty\)-(co)module structure of several ext (resp., Tor) groups. (English) Zbl 1401.16007
Going relative with Maurice – a survey. (English) Zbl 1422.16026
Martsinkovsky, Alex (ed.) et al., Surveys in representation theory of algebras. Maurice Auslander distinguished lectures and international conference, Woods Hole Oceanographic Institute, Woods Hole, MA, USA, April 26 – May 1, 2017, April 29 – May 4, 2015, April 18–23, 2013. Selected lectures. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 716, 155-172 (2018).
Koszul-Tate resolutions as cofibrant replacements of algebras over differential operators. (English) Zbl 1423.18056
Reviewer: Hirokazu Nishimura (Tsukuba)
Koszul binomial edge ideals of pairs of graphs. (English) Zbl 1451.13042
Reviewer: Susan Morey (San Marcos)
On the \(n\)-th row of the graded Betti table of an \(n\)-dimensional toric variety. (English) Zbl 1401.13038
Reviewer: Amir Mafi (Sanandaj and Tehran)
MSC:
13D02
The Golod property of powers of the maximal ideal of a local ring. (English) Zbl 1393.13043
Reviewer: Andrew Kustin (Columbia)
Poincaré series of compressed local Artinian rings with odd top socle degree. (English) Zbl 1409.13028
Reviewer: Kriti Goel (Mumbai)
Cohomology of finite modules over short Gorenstein rings. (English) Zbl 1436.13031
Reviewer: Mohammad-Reza Doustimehr (Tabriz)
Castelnuovo-Mumford regularity of Koszul cycles and Koszul homologies. (English) Zbl 1405.13025
Reviewer: Takesi Kawasaki (Tokyo)
The canonical syzygy conjecture for ribbons. (English) Zbl 1391.14061
Reviewer: Nathan Grieve (East Lansing)
The absolutely Koszul property of Veronese subrings and Segre products. (English) Zbl 1391.13023
Reviewer: Amir Mafi (Sanandaj and Tehran)
Koszul almost complete intersections. (English) Zbl 1406.13015
Reviewer: Juan C. Migliore (Notre Dame)
Koszul algebras defined by three relations. (English) Zbl 1406.13011
Conca, Aldo (ed.) et al., Homological and computational methods in commutative algebra. Dedicated to Winfried Bruns on the occasion of his 70th birthday. Proceedings of the INdAM conference, Cortona, Italy, May 30 – June 3, 2016. Cham: Springer (ISBN 978-3-319-61942-2/hbk; 978-3-319-61943-9/ebook). Springer INdAM Series 20, 53-68 (2017).
Syzygies over the polytope semiring. (English) Zbl 1393.13030
Reviewer: Georg Loho (Berlin)
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