On the Newton polytope of specialized resultants

Wednesday, May 23, 2007 - 11:15am - 12:15pm
Lind 409
Ioannis Emiris (National University of Athens)
We overview basic notions from sparse, or toric, elimination theory and apply them in order to predict the Newton polytope of the sparse resultant. We consider the case when all but a constant number of resultant parameters are specialized. Of independent interest is the problem of predicting the support of the implicit equation of a parametric curve or surface. We bound this support by a direct approach, based on combinatorial geometry. The talk will point to various open questions.