DISCRIMINANT COAMOEBAS THROUGH HOMOLOGY
2013 (English)In: Journal of Commutative Algebra, ISSN 1939-0807, Vol. 5, no 3, 413-440 p.Article in journal (Refereed) Published
Understanding the complement of the coamoeba of a (reduced) A-discriminant is one approach to studying the monodromy of solutions to the corresponding system of A-hypergeometric differential equations. Nilsson and Passare described the structure of the coamoeba and its complement (a zonotope) when the reduced A-discriminant is a function of two variables. Their main result was that the coamoeba and zonotope form a cycle which is equal to the fundamental cycle of the torus, multiplied by the normalized volume of the set A of integer vectors. That proof only worked in dimension two. Here, we use simple ideas from topology to give a new proof of this result in dimension two, one which can be generalized to all dimensions.
Place, publisher, year, edition, pages
2013. Vol. 5, no 3, 413-440 p.
IdentifiersURN: urn:nbn:se:su:diva-101260DOI: 10.1216/JCA-2013-5-3-413ISI: 000330216100004OAI: oai:DiVA.org:su-101260DiVA: diva2:700114