Cover Image

The commutative algebra of congruence ideals and applications to number theory

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Iyengar, Srikanth B., Khare, Chandrashekhar B., Manning, Jeffrey
Format:	Preprint
Published:	2025
Subjects:	Number Theory Commutative Algebra 11F80, 13C10, 13D02
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Congruence modules and the Wiles-Lenstra-Diamond numerical criterion in higher codimensions
by: Iyengar, Srikanth B., et al.
Published: (2022)

Freeness of Hecke modules at non-minimal levels
by: Iyengar, Srikanth B., et al.
Published: (2022)

A freeness criterion for complexes with derived actions
by: Brochard, Sylvain, et al.
Published: (2025)

Commutative algebra inspired by modularity lifting
by: Iyengar, Srikanth B.
Published: (2025)

Congruence modules in higher codimension and zeta lines in Galois cohomology
by: Iyengar, Srikanth B., et al.
Published: (2023)

Golod ideals in combinatorial commutative algebra
by: Briggs, Benjamin, et al.
Published: (2026)

Generators of the initial ideal of simplicial toric ideals
by: Hanyu, Ryotaro
Published: (2026)

Unstable elements in cohomology and a question of Lescot
by: Iyengar, Srikanth B., et al.
Published: (2025)

Structure theorems for Gorenstein ideals of codimension four with small number of generators
by: Chmiel, Tymoteusz, et al.
Published: (2025)

A study of a quadratic almost complete intersection ideal and its linked Gorenstein ideal
by: Diethorn, Rachel, et al.
Published: (2025)

The Tor algebra of trimmings of Gorenstein ideals
by: Ferraro, Luigi, et al.
Published: (2022)

Betti numbers for connected sums of graded Gorenstein artinian algebras
by: Altafi, Nasrin, et al.
Published: (2024)

On the initial ideal of a generic artinian Gorenstein algebra
by: Boij, Mats, et al.
Published: (2025)

On the weak Lefschetz property for ideals generated by powers of general linear forms
by: Booth, Matthew D., et al.
Published: (2024)

Extremal Behavior of ideals of minors
by: Chau, Trung, et al.
Published: (2025)

Polymatroidal property of generalized mixed product ideals
by: La Barbiera, Monica, et al.
Published: (2024)

Toward the theory on local cohomologies at the ideals given by simplicial posets
by: Shibata, Kosuke, et al.
Published: (2026)

Some new Betti numbers of ideals generated by n+1 generic forms in n variables
by: Fröberg, Ralf
Published: (2025)

Generalized mixed product ideals whose powers have a linear resolution
by: La Barbiera, Monica, et al.
Published: (2024)

Bass numbers of graded components of local cohomology modules
by: Jahangiri, Maryam
Published: (2026)

Vertex decomposability and weakly polymatroidal ideals
by: Mafi, Amir, et al.
Published: (2022)

Lim Ulrich sequences and Boij-Söderberg cones
by: Iyengar, Srikanth B., et al.
Published: (2022)

Commutative algebra: Constructive methods. Finite projective modules
by: Lombardi, Henri, et al.
Published: (2016)

Scarf complexes of connected and path ideals
by: Chau, Trung, et al.
Published: (2025)

On some open problems in commutative algebra resolved by Rethlas
by: Jiang, Jiedong, et al.
Published: (2026)

On the Betti numbers and gracefulness of some planar graphs
by: Imbesi, Maurizio, et al.
Published: (2012)

Betti numbers of ideals generated by $n+1$ powers of general linear forms
by: Dannetun, Eric
Published: (2026)

On containment of trace ideals in ideals of finite homological dimension
by: Dey, Souvik, et al.
Published: (2023)

Graded Betti numbers of powers of path ideals of paths
by: Balanescu, Silviu, et al.
Published: (2024)

Mapping cones of monomial ideals over exterior algebras
by: Crupi, Marilena, et al.
Published: (2023)

Artinian Gorenstein algebras of embedding dimension four and socle degree three over an arbitrary field
by: Khoury, Sabine El, et al.
Published: (2024)

The weak Lefschetz property for Standard graded, Artinian Gorenstein algebras of embedding dimension four and socle degree three
by: Kustin, Andrew R.
Published: (2024)

Subintegrality and ideal class groups of monoid algebras
by: Raihan, Md Abu, et al.
Published: (2025)

Stillman's question for twisted commutative algebras
by: Ganapathy, Karthik
Published: (2020)

Degree of $h$-polynomials of edge ideals
by: Biermann, Jennifer, et al.
Published: (2024)

Derived complete intersections and polynomial growth of Betti numbers over dg-algebras
by: Brown, Michael K., et al.
Published: (2026)

A comparison of the regularity of certain classes of monomial ideals and their integral closures
by: Javadekar, Omkar
Published: (2025)

Regularity of integral closures of edge ideals of weighted oriented graphs
by: Minh, Nguyen Cong, et al.
Published: (2024)

Cohen-Macaulay squares of edge ideals
by: Faridi, Sara, et al.
Published: (2025)

Generic models of licci ideals parametrized by Schur functors
by: Guerrieri, Lorenzo, et al.
Published: (2025)