2 citations · 2 across the 1 of their papers we have counts for
5 papers
Semistable reduction in characteristic 0
Karim Adiprasito, Gaku Liu, Michael Temkin
In 2000 Abramovich and Karu proved that any dominant morphism of varieties of characteristic zero can be made weakly semistable by replacing by a smooth alteration…
Log smoothness and polystability over valuation rings
Karim Adiprasito, Gaku Liu, Igor Pak +1
Let be a valuation ring of height one of residual characteristic exponent and with algebraically closed field of fractions. Our main result provides a best possib…
Zonotopes whose cellular strings are all coherent
Rob Edman, Pakawut Jiradilok, Gaku Liu +1
A cellular string of a polytope is a sequence of faces stacked on top of each other in a given direction. The poset of cellular strings, ordered by refinement, is known to be homot…
A zonotope and a product of two simplices with disconnected flip graphs
Gaku Liu
We give an example of a three-dimensional zonotope whose set of tight zonotopal tilings is not connected by flips. Using this, we show that the set of triangulations of $Δ^4 \times…
Various Theorems on Tournaments
Gaku Liu
In this thesis we prove a variety of theorems on tournaments. A \emph{prime} tournament is a tournament such that there is no , , such that…