280 citations · 1k across the 82 of their papers we have counts for
13 papers · 1 filter
Shimura Varieties, Kummer Varieties, and Rational Curves
Bo-Hae Im, Michael Larsen, Sailun Zhan
For a very general product of seven or more elliptic curves, every rational curve on the Kummer variety of projects trivially onto the Kummer variety of at least one of its…
A note on Lie algebra cohomology
Michael J. Larsen, Valery A. Lunts
Given a finite dimensional Lie algebra let be the augmentation ideal in the universal enveloping algebra . We study the conditions on under which the -groups…
Irrationality of motivic zeta functions
Michael Larsen, Valery Lunts
Let denote the Grothendieck ring of -varieties with the Lefschetz class inverted. We show that there exists a K3 surface…
Categorical measures for finite group actions
Daniel Bergh, Sergey Gorchinskiy, Michael Larsen +1
Given a variety with a finite group action, we compare its equivariant categorical measure, that is, the categorical measure of the corresponding quotient stack, and the categorica…
Rationality of motivic zeta function and cut-and-paste problem
Michael Larsen, Valery A. Lunts
Assuming the positive solution to the Cut-and-paste problem we prove that the motivic zeta function remains irrational after inverting L.
Rational curves on quotients of abelian varieties by finite groups
Bo-Hae Im, Michael Larsen
In [3], it is proved that the quotient of an abelian variety by a finite order automorphism is uniruled if and only if some power of satisfies a numerical condition $0<…