Purely Log Terminal Threefolds with Non-Normal Centres in Characteristic Two

Complex Projective Threefolds with Non-negative Canonical Euler-poincare Characteristic

Let V be a smooth complex projective 3-fold of general type with χ(ωV ) ≥ 0. We prove that the m-canonical map Φ|mKV | is birational onto its image for all m ≥ 14. Known examples show that the numerical bound r3 = 14 is optimal.

Boundedness of Fano Threefolds with Log-terminal Singularities of given Index

We prove that all Fano threefolds with log-terminal singularities of given index belong to finitely many families. This result was previously obtained by the author in the case of unipolar Fano varieties. [email protected]

Boundedness theorem for Fano log-threefolds

The main purpose of this article is to prove that the family of all Fano threefolds with log-terminal singularities with bounded index is bounded.

Abundance Theorem for Semi Log Canonical Threefolds

for semi log canonical threefolds. The abundance conjecture is a very important problem in the birational classi cation of algebraic varieties. The abundance theorem for semi log canonical surfaces was proved in [12, Chapter 8, 12] by L.-Y. Fong, S. Keel, J. Koll ar, and J. McKernan. Their proof uses semiresolution, etc. and has some combinatorial complexities. So we simplify their proof and st...

Canon-log Transfer Characteristic