The Artinian Berger Conjecture
Copyright policy )The Artinian Berger Conjecture
We propose an Artinian version of Berger's Conjecture for curves, concerning the module of Kähler differentials of an algebra. Our version implies Berger's Conjecture in characteristic 0. We establish our Artinian Berger Conjecture in a number of cases, and prove that Berger's Conjecture holds for curve singularities whose conductor ideal contains the cube of a maximal ideal.
- National University of La Plata Argentina
- The University of Texas System United States
- University of New Brunswick Canada
- Texas A&M University United States
- Rutgers, The State University of New Jersey United States
torsion of the differential module, Singularities of curves, local rings, Berger conjecture, Commutative Algebra (math.AC), Collatz conjecture, FOS: Mathematics, Commutative Artinian rings and modules, finite-dimensional algebras, Conjecture, Algebra over a field, Matemática, local rings, Hochschild homology, Pure mathematics, Cube (algebra), Mathematics - Rings and Algebras, Gravitational singularity, Mathematics - Commutative Algebra, Maximal ideal, Modules of differentials, normalization, Rings and Algebras (math.RA), Artinian ring, Beal's conjecture, Ideal (ring theory), Mathematics
torsion of the differential module, Singularities of curves, local rings, Berger conjecture, Commutative Algebra (math.AC), Collatz conjecture, FOS: Mathematics, Commutative Artinian rings and modules, finite-dimensional algebras, Conjecture, Algebra over a field, Matemática, local rings, Hochschild homology, Pure mathematics, Cube (algebra), Mathematics - Rings and Algebras, Gravitational singularity, Mathematics - Commutative Algebra, Maximal ideal, Modules of differentials, normalization, Rings and Algebras (math.RA), Artinian ring, Beal's conjecture, Ideal (ring theory), Mathematics
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