Resumen de Prestable ideals and SAGBI bases

H. Ohsugi

• In order to find a reasonable class of squarefree monomial ideals I for which the toric ideal of the Rees algebra of I has a quadratic Gröbner basis, the concept of prestable ideals will be introduced. Prestable ideals arising from finite pure posets together with their application to Sagbi bases will be discussed.