E. V. Sharoyko

most citedHassett-Tschinkel correspondence and automorphisms of the quadric

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

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.RT2009★ 2 cited

Hassett-Tschinkel correspondence and automorphisms of the quadric

Elena V. Sharoyko

We study locally transitive actions of the commutative unipotent group $\Gan$ on a nondegenerate quadric in the projective space $¶^{n + 1}$ . It is shown that for each $n$ such an ac…

math.RT2006

Quasihomogeneous $(C^{*})^{k} \times S L_{2} (C)$ -varieties containing a finite number of orbits

E. V. Sharoyko

Let $G := (C^{*})^{k} \times S L_{2} (C)$ act linearly on a vector space or its projectivisation. We obtain an effective criterion to detect whether a number of orbits in an orbit-closure is…

Hassett-Tschinkel correspondence: Modality and projective hypersurfaces

Hassett-Tschinkel correspondence and automorphisms of the quadric

Quasihomogeneous (C∗)k×SL2​(C)-varieties containing a finite number of orbits

Quasihomogeneous $(C^{*})^{k} \times S L_{2} (C)$ -varieties containing a finite number of orbits