76 citations · 284 across the 25 of their papers we have counts for
3 papers · 1 filter
On properness of K-moduli spaces and optimal degenerations of Fano varieties
Harold Blum, Daniel Halpern-Leistner, Yuchen Liu +1
We establish an algebraic approach to prove the properness of moduli spaces of K-polystable Fano varieties and reduce the problem to a conjecture on destabilizations of K-unstable…
Derived -stratifications and the -equivalence conjecture
Daniel Halpern-Leistner
The theory of -stratifications generalizes a classical stratification of the moduli of vector bundles on a smooth curve, the Harder-Narasimhan-Shatz stratification, to any modul…
Learning selection strategies in Buchberger's algorithm
Dylan Peifer, Michael Stillman, Daniel Halpern-Leistner
Studying the set of exact solutions of a system of polynomial equations largely depends on a single iterative algorithm, known as Buchberger's algorithm. Optimized versions of this…