Discriminants and Resultants for Forms in Several Variables
Israel M. Gelfand, Mikhail M. Kapranov, Andrei V. Zelevinsky · Birkhäuser Boston eBooks · 1994
We now consider the most straightforward generalization of the resultants and discriminants treated in Chapter 12, namely the resultants and discriminants for homogeneous forms in several variables. Although they are very classical objects of study, many fundamental questions about them still remain open. To realize how little is known it is enough to mention that an explicit polynomial expression still remains unknown with the exception of some very special cases. The methods developed in Parts I and II help to put this and other questions in a general perspective. Without pretending to be complete, we present an overview of some fairly classical results together with more fresh developments.