159 citations · 404 across the 61 of their papers we have counts for
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math.AG2009
Hassett-Tschinkel correspondence: Modality and projective hypersurfaces
Ivan V. Arzhantsev, Elena V. Sharoyko
B. Hassett and Yu. Tschinkel (1999) introduced a remarkable correspondence between generically transitive actions of a commutative unipotent algebraic group G and finite-dimensiona…
math.AG2009★ 1 cited
Homogeneous toric varieties
Ivan V. Arzhantsev, Sergey A. Gaifullin
A description of transitive actions of a semisimple algebraic group G on toric varieties is obtained. Every toric variety admitting such an action lies between a product of punctur…
math.AG2009★ 3 cited
Factorial algebraic group actions and categorical quotients
I. V. Arzhantsev, D. Celik, J. Hausen
Given an action of an affine algebraic group with only trivial characters on a factorial variety, we ask for categorical quotients. We characterize existence in the category of alg…