5 papers
On Gorenstein -rational threefold and fourfold singularities
Jefferson Baudin, Zsolt Patakfalvi, Linus Rösler +1
We prove that for and , quasi--Gorenstein --pure and --rational --fold singularities are canonical. This is analogous to the usual fact that r…
On linear -quotients
Quentin Posva, Linus Rösler, Takehiko Yasuda
We study linear -actions on affine spaces and the associated quotient singularities, using explicit stacky resolutions. We describe when the quotient singularities are log ca…
On the birational isotriviality of the Albanese morphism of a log Calabi-Yau pair with a torus action
Linus Rösler
Let be a projective, log canonical, -trivial pair over the complex numbers. Let be a minimal log canonical center of and suppose that there exists a torus…
On Seshadri constants of adjoint divisors on surfaces and threefolds in arbitrary characteristic
Linus Rösler
We develop a new approach towards obtaining lower bounds of the Seshadri constants of ample adjoint divisors on smooth projective varieties in arbitrary characteristic. Let $x\…
On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type
Jefferson Baudin, Tatsuro Kawakami, Linus Rösler
Given a Cohen-Macaulay scheme of klt type and a resolution , we show that . We deduce that if , then satisfies Grauert-Ri…