30 citations · 200 across the 41 of their papers we have counts for
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Fano threefolds in positive characteristic IV
Hiromu Tanaka
Based on the former parts, we classify smooth Fano threefolds of positive characteristic.
Fano threefolds in positive characteristic III
Masaya Asai, Hiromu Tanaka
We classify primitive Fano threefolds in positive characteristic whose Picard numbers are at least two. We also classify Fano theefolds of Picard rank two.
Fano threefolds in positive characteristic II
Hiromu Tanaka
Let be a smooth Fano threefold over an algebraically closed field of positive characteristic. Assume that is very ample and each of the index and the Picard number is…
Fano threefolds in positive characteristic I
Hiromu Tanaka
Over an algebraically closed field of positive characteristic, we classify smooth Fano threefolds of Picard number one whose anti-canonical linear systems are not very ample. Furth…
Discriminant divisors for conic bundles
Hiromu Tanaka
We study some foundational properties on discriminant divisors for generically smooth conic bundles. In particular, we extend the formula to arbitrary ch…
Elliptic singularities and threefold flops in positive characteristic
Hiromu Tanaka
Let be a smooth threefold over an algebraically closed field of positive characteristic. We prove that an arbitrary flop of is smooth. To this end, we study Gorenstein curv…
Quasi-F-splittings in birational geometry II
Tatsuro Kawakami, Teppei Takamatsu, Hiromu Tanaka +3
Over an algebraically closed field of characteristic , we prove that three-dimensional -factorial affine klt varieties are quasi--split. Furthermore, we show th…