45 citations · 45 across the 2 of their papers we have counts for
2 papers
math.AG2014★ 45 cited
The Fano variety of lines and rationality problem for a cubic hypersurface
Sergey Galkin, Evgeny Shinder
We find a relation between a cubic hypersurface and its Fano variety of lines in the Grothendieck ring of varieties. We prove that if the class of an affine line is not…
math.AG2012
On motives of algebraic groups associated to a divsion algebra
Evgeny Shinder
We consider algebraic groups GL_1(A), SL_1(A), where A is a division algebra of prime degree over a field F, and associated motives in the category of motivic complexes DM(F). Foll…