4 papers
On the Cox rings of some hypersurfaces
Andrew Pollock, Atsushi Ito, Balazs Szendroi
We introduce a cohomological method to compute Cox rings of hypersurfaces in the ambient space P^1 x P^n, which is more direct than existing methods. We prove that smooth hypersurf…
Euler characteristics of affine ADE Nakajima quiver varieties via collapsing fibers
Lukas Bertsch, Ãdám Gyenge, Balázs SzendrÅi
We prove a universal substitution formula that compares generating series of Euler characteristics of Nakajima quiver varieties associated with affine ADE diagrams at generic and a…
Polynomial systems admitting a simultaneous solution
Austin Conner, Mateusz Michalek, Michael Schindler +1
We provide a complete description of the ideal that serves as the resultant ideal for n univariate polynomials of degree d. We in particular describe a set of generators of this re…
Kleinian singularities: some geometry, combinatorics and representation theory
Lukas Bertsch, Ãdám Gyenge, Balázs SzendrÅi
We review the relationship between discrete groups of symmetries of Euclidean three-space, constructions in algebraic geometry around Kleinian singularities including versions of H…