30 citations · 200 across the 41 of their papers we have counts for
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math.AG2012
On log surfaces
Osamu Fujino, Hiromu Tanaka
This paper is an announcement of the minimal model theory for log surfaces in all characteristics and contains some related results including a simplified proof of the Artin-Keel c…
math.AG2012★ 10 cited
The X-method for klt surfaces in positive characteristic
Hiromu Tanaka
In this paper, we establish a weak version of the Kodaira vanishing theorem for surfaces in positive characteristic. As an application, we obtain some fundamental theorems in the m…
math.AG2012★ 7 cited
Minimal models and abundance for positive characteristic log surfaces
Hiromu Tanaka
We discuss the birational geometry of singular surfaces in positive characteristic. More precisely, we establish the minimal model program and the abundance theorem for Q-factorial…