32 citations · 122 across the 43 of their papers we have counts for
5 papers · 1 filter
On the Schmidt and analytic ranks for trilinear forms
Karim Adiprasito, David Kazhdan, Tamar Ziegler
We discuss relations between different notions of ranks for multilinear forms. In particular we show that the Schmidt and the analytic ranks for trilinear forms are essentially pro…
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…
Convexity of complements of tropical varieties, and approximations of currents
Karim Adiprasito, Farhad Babaee
The goal of this note is to affirm a local version of the conjecture of Nisse--Sottile [NS16] on higher convexity of complements of tropical varieties, while providing a family of…
Filtered geometric lattices and Lefschetz Section Theorems over the tropical semiring
Karim Alexander Adiprasito, Anders Björner
The purpose of this paper is to establish analogues of the classical Lefschetz Section Theorem for smooth tropical varieties. More precisely, we prove tropical analogues of the sec…