3 citations · 5 across the 9 of their papers we have counts for
12 papers
Cylindricity of log del Pezzo surfaces in characteristic five
Dae-Won Lee, Masaru Nagaoka, Masatomo Sawahara
Over an algebraically closed field of characteristic five, we prove that a log del Pezzo surface of Picard rank one contains no cylinder if it is not log liftable. We also characte…
Mori dream fibers and the geometric generic fiber
Dae-Won Lee, Masaru Nagaoka
We construct a smooth projective family of rational surfaces over . The Mori dream property of a fiber is determined by the torsion of the normal bundle…
A review of Lacini's classification of rank one log del Pezzo surfaces in characteristic different from two and three
Masaru Nagaoka
This paper reviews Lacini's classification [Lac24] of log del Pezzo surfaces of rank one in characteristics different from two and three, with a focus on where and how Lacini enhan…
Completions of the affine -space into del Pezzo fibrations
Adrien Dubouloz, Takashi Kishimoto, Masaru Nagaoka
We give constructions of completions of the affine -space into total spaces of del Pezzo fibrations of every degree other than over the projective line. We show in particula…
Non-log liftable log del Pezzo surfaces of rank one in characteristic five
Masaru Nagaoka
Building upon the classification by Lacini [arXiv:2005.14544], we determine the isomorphism classes of log del Pezzo surfaces of rank one over an algebraically closed field of char…
Classification of Du Val del Pezzo surfaces of Picard rank one in characteristic two and three
Tatsuro Kawakami, Masaru Nagaoka
In this paper, we classify Du Val del Pezzo surfaces of Picard rank one in characteristic two and three. We also show that if a Du Val del Pezzo surface is Frobenius split, then a…
Pathologies and liftability of Du Val del Pezzo surfaces in positive characteristic
Tatsuro Kawakami, Masaru Nagaoka
In this paper, we study pathologies of Du Val del Pezzo surfaces defined over an algebraically closed field of positive characteristic by relating them to their non-liftability to…
On singularity types of del Pezzo surfaces with rational double points in positive characteristic
Tatsuro Kawakami, Masaru Nagaoka
In this paper, we prove that a pair of the minimal resolution of a del Pezzo surface with rational double points whose general anti-canonical member is smooth and its exceptional d…
Compactifications of affine homology -cells into blow-ups of the projective -space with trivial log canonical divisors
Masaru Nagaoka
In this paper we classify all the compactifications of affine homology -cells into the blow-ups of the projective -space along smooth curves such that the log canonical divis…
-structures on del Pezzo fibrations
Masaru Nagaoka
In this paper we prove that del Pezzo fibrations admit -structures if and only if they are -bundles over .
On compactifications of affine homology 3-cells into quadric fibrations
Masaru Nagaoka
In this paper we deal with compactifications of affine homology -cells into quadric fibrations such that the boundary divisors contain fibers. We show that all such affine homol…
Fano compactifications of contractible affine 3-folds with trivial log canonical divisors
Masaru Nagaoka
T.Kishimoto raised the problem to classify all compactifications of contractible affine 3-folds into smooth Fano 3-folds with second Betti number two and classified such compactifi…