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4 papers · 1 filter
Log-uniruled affine varieties without cylinder-like open subsets
Adrien Dubouloz, Takashi Kishimoto
A classical result of Miyanishi-Sugie and Keel-McKernan asserts that for smooth affine surfaces, affine-uniruledness is equivalent to affine-ruledness, both properties being in fac…
Affine cones over Fano threefolds and additive group actions
Takashi Kishimoto, Yuri Prokhorov, Mikhail Zaidenberg
We address the following question: When an affine cone over a smooth Fano threefold admits an effective action of the additive group? In this paper we deal with Fano threefolds of…
Algebro-geometric semistability of polarized toric manifolds
Hajime Ono
Let be an -dimensional integral Delzant polytope. It is well-known that there exist the -dimensional compact toric manifold and the very ample $…
On Orevkov's rational cuspidal plane curves
Keita Tono
In this note, we consider rational cuspidal plane curves having exactly one cusp whose complements have logarithmic Kodaira dimension two. We classify such curves with the property…