7 citations · 12 across the 3 of their papers we have counts for
6 papers
On the variety of triangles for a hyper-Kaehler fourfold constructed by Debarre and Voisin
Ivan Bazhov
We study the similarities between the Fano varieties of lines on a cubic fourfold, a hyper-Kaehler fourfold studied by Beauville and Donagi, and the hyper-Kaehler fourfold construc…
On the Decomposition of the Small Diagonal of a K3 Surface
Ivan Bazhov
We give a new proof of the theorem of Beauville and Voisin about the decomposition of the small diagonal of a K3 surface S. Our proof is explicit and works with the embedding of S…
On the Chow group of zero-cycles of Calabi-Yau hypersurfaces
Ivan Bazhov
We prove the existence of a canonical zero-cycle on a Calabi-Yau hypersurface X in a complex projective homogeneous variety. More precisely, we show that the intersection of any n…
Additive Structures on Cubic Hypersurfaces
Ivan Bazhov
By an additive structure on a hypersurface S in projective space we mean an effective action of commutative unipotent group on projective space which leaves S invariant and acts on…
On orbits of the automorphism group on an affine toric variety
Ivan Arzhantsev, Ivan Bazhov
Let X be an affine toric variety. The total coordinates on X provide a canonical presentation of X as a quotient of a vector space by a linear action of a quasitorus. We prove that…
On orbits of the automorphism group on a complete toric variety
Ivan Bazhov
Let X be a complete toric variety and Aut(X) be the automorphism group. We give an explit description of Aut(X)-orbits on X. In particular, we show that Aut(X) acts on X transitive…