Hilbert–Poincaré series of parity binomial edge ideals and permanental ideals of complete graphs

• Hoang, Do Trong ^[1] ; Kahle, Thomas ^[2]
  1. [1] Hanoi University of Science and Technology

     Hanoi University of Science and Technology

     Vietnam

     
  2. [2] Fakultät für Mathematik, Otto-von-Guericke Universität, Universitätsplatz 2, 39106, Magdeburg, Germany
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 72, Fasc. 3, 2021, págs. 471-479
• Idioma: inglés
• DOI: 10.1007/s13348-020-00294-2
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• Resumen

  • We give an explicit formula for the Hilbert–Poincaré series of the parity binomial edge ideal of a complete graph K_{n} or equivalently for the ideal generated by all 2\times 2-permanents of a 2\times n-matrix. It follows that the depth and Castelnuovo–Mumford regularity of these ideals are independent of n.