Determining the Betti numbers of \(R/(x^{p^e}, y^{p^e}, z^{p^e})\) for most even degree hypersurfaces in odd characteristic
DOI10.1016/J.JPAA.2024.107858MaRDI QIDQ6671778
Publication date: 27 January 2025
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Linkage, complete intersections and determinantal ideals (13C40) Pfaffian systems (58A17) Polynomials over commutative rings (13B25) Syzygies, resolutions, complexes and commutative rings (13D02) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Polynomials (11S05)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Socle degrees, resolutions, and Frobenius powers
- The structure of linkage
- Minimal resolution of relatively compressed level algebras
- Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
- The resolution of the bracket powers of the maximal ideal in a diagonal hypersurface ring
- The syzygies of the ideal \((x_1^N, x_2^N, x_3^N, x_4^N)\) in the hypersurface ring defined by \(x_1^n + x_2^n + x_3^n + x_4^n\)
- The resolution of \((x^N,y^N,z^N,w^N)\)
- Socle degrees of Frobenius powers
- Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
- Infective Envelopes and Inverse Polynomials
- Pfaffian identities: A combinatorial approach
This page was built for publication: Determining the Betti numbers of \(R/(x^{p^e}, y^{p^e}, z^{p^e})\) for most even degree hypersurfaces in odd characteristic
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6671778)