Details

Autor(en) / Beteiligte

• Celikbas, Ela
• Dufresne, Emilie
• Fouli, Louiza
• Gorla, Elisa
• Lin, Kuei-Nuan
• Polini, Claudia
• Swanson, Irena

Titel

Rees algebras of sparse determinantal ideals

Ist Teil von

• Transactions of the American Mathematical Society, 2024-02

Erscheinungsjahr

2024

Quelle

American Mathematical Society Publications

Beschreibungen/Notizen

• We determine the defining equations of the Rees algebra and of the special fiber ring of the ideal of maximal minors of a 2 × n 2\times n sparse matrix. We prove that their initial algebras are ladder determinantal rings. This allows us to show that the Rees algebra and the special fiber ring are Cohen-Macaulay domains, they are Koszul, they have rational singularities in characteristic zero and are F-rational in positive characteristic.