159 citations · 404 across the 61 of their papers we have counts for
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math.AG2017★ 5 cited
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…
math.AG2017★ 29 cited
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…
math.AG2017
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…