The "Tropical Hypersurfaces" group has a new paper!

The "Tropical Hypersurfaces" group has a preprint which can be found here.   

   

                                                Two Newton-Okounkov bodies of a variety 

                                   whose Cox ring is presented by a well-poised hypersurface.

A hypersurface is an algebraic variety cut out by a single irreducible polynomial equation F.  We say that the hypersurface is well-poised if the polynomial we get when we drop all but two or more monomials from F is still irreducible. For example, x^2 + y + zw defines a well-poised hypersurface because x^2 + y, x^2 + zw, and y + zw are all still irreducible.  Our result gives a classification of such hypersurfaces over any algebraically closed field. 

Update:  This paper has been accepted for publication at Communications in Algebra.