Finite group characters on free resolutions
F Galetto - Journal of Symbolic Computation, 2022 - Elsevier
Under reasonable assumptions, a group action on a module extends to the minimal free
resolutions of the module. Explicit descriptions of these actions can lead to a better …
resolutions of the module. Explicit descriptions of these actions can lead to a better …
Degrees of regular sequences with a symmetric group action
We consider ideals in a polynomial ring that are generated by regular sequences of
homogeneous polynomials and are stable under the action of the symmetric group …
homogeneous polynomials and are stable under the action of the symmetric group …
Setting the scene for Betti characters
F Galetto - Journal of Software for Algebra and Geometry, 2023 - msp.org
Finite group actions on free resolutions and modules arise naturally in many interesting
examples. Understanding these actions amounts to describing the terms of a free resolution …
examples. Understanding these actions amounts to describing the terms of a free resolution …