Ir al contenido

Documat

Resumen de Expressing a general form as a sum of determinants

Luca Chiantini Árbol académico, Anthony V. Geramita

  • Let ?=(???) be a non-negative integer ?×? matrix. ? is a homogeneous matrix if ???+???=???+??? for any choice of the four indexes. We ask: If ? is a homogeneous matrix and if ? is a form in ℂ[?1,…??] with ???(?)=trace(?) , what is the least integer, ?(?) , so that ?=????1+⋯+?????(?) , where the ??=(????) are ?×? matrices of forms and ???????=??? for every 1≤?≤?(?) ? We consider this problem for ?≥4 and we prove that ?(?)≤??−3 and ?(?)

Fundación Dialnet

Mi Documat