93 citations · 137 across the 27 of their papers we have counts for
6 papers · 1 filter
Toroidal and toric models of fibrations over curves
Caucher Birkar
We construct relatively bounded toroidal and toric models of relatively bounded fibrations over curves.
Stein degree on log Calabi-Yau fibrations
Caucher Birkar, Santai Qu
We prove a conjecture proposed by the first author on boundedness of Stein degree of divisors on log Calabi-Yau fibrations. More precisely, for and ,…
Stein degree on non-Fano type fibrations
Caucher Birkar, Santai Qu
We construct examples showing that Stein degree of vertical divisors on non-Fano type log Calabi-Yau fibrations is unbounded.
Positivity, singularities, and boundedness
Caucher Birkar
In this short note we will explore some recent connections between positivity, singularities, and boundedness in various contexts focusing on birational geometry.
A Picard rank bound for base surfaces of elliptic Calabi-Yau 3-folds
Caucher Birkar, Seung-Joo Lee
We compute an explicit rank bound on the Picard group of the compact surfaces, which can serve as the base of an elliptic Calabi-Yau variety with canonical singularities. To bound…
Explicit Bounds on the Spectrum of 6d N=(1,0) Supergravity
Caucher Birkar, Seung-Joo Lee
We propose a novel strategy to derive explicit and uniform upper bounds on the particle spectrum of six-dimensional gravitational theories with minimal supersymmetry, focusing init…