159 citations · 404 across the 61 of their papers we have counts for
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Prehomogeneous modules of commutative linear algebraic groups
Ivan Arzhantsev
Let be a finite dimensional commutative associative algebra with unit over an algebraically closed field of characteristic zero. The group of invertible elements is open…
Polynomial curves on trinomial hypersurfaces
Ivan Arzhantsev
We prove that every rational trinomial affine hypersurface admits a horizontal polynomial curve. This result provides an explicit non-trivial polynomial solution to a trinomial equ…
Log terminal singularities, platonic tuples and iteration of Cox rings
Ivan Arzhantsev, Lukas Braun, Juergen Hausen +1
Looking at the well understood case of log terminal surface singularities, one observes that each of them is the quotient of a factorial one by a finite solvable group. The derived…
Gale duality and homogeneous toric varieties
Ivan Arzhantsev
A non-degenerate toric variety is called -homogeneous if the subgroup of the automorphism group generated by root subgroups acts on transitively. We prov…