Resultants of Skewly Composed Polynomials

This paper studies resultants of skewly composed polyno-mials, obtained from n homogeneous polynomials by replac-ing their variables with n + 1 other homogeneous polyno-mials, called the inner components. It is shown that the resultant of such composed polynomials is a nested resul-tant where the inner resultant only depends on the inner components. This work can be considered as a continuation of Jouanolou's and Cheng/McKay/Wang's works on resul-tants of composed polynomials, who consider non-skewly composed polynomials obtained by composing n homoge-neous polynomials with n homogeneous polynomials. Inter-estingly, in their case the composition structure causes the resultant of composed polynomials to be a power product of resultants, whereas in the current work it is a completely dierent nested resultant