The log canonical threshold plays a fundamental role in
algebraic geometry, especially birational geometry and Mori theory.
Recently the problem of classifying foliations on algebraic
varieties has been revolutionized by introducing ideas from
Mori...
To understand the birational geometry of a projective variety
$X$, one seeks to describe all rational contractions from $X$. From
an algebraic perspective, information about all these contractions
are encoded in the ring formed by all sections of...
For studies on singularities over the field of characteristic
zero, we can use many convenient tools: resolutions of
singularities, Bertini’s theorem (generic smoothness), cohomology
vanishing of Kodaira type, and so on. However, in positive...
