Adjoint rings are finitely generated
This paper proves finite generation of the log canonical ring without Mori theory.
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arXiv subjects
Vladimir Lazic
Publications and source records attributed to Vladimir Lazic.
Towards finite generation of the canonical ring without the MMP
This paper is the first of two steps in a project to prove finite generation of the log canonical ring without Mori theory.
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On Shokurov-type b-divisorial algebras of higher rank
The purpose of this paper is to lay the foundations for the theory of higher rank b-divisorial algebras of Shokurov type. We develop techniques to deal with such objects and propose two natural conjectures regarding Shokurov algebras and adjoint algebras. We confirm these conjectures in the case of affine curves.
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Introduction to the Minimal Model Program and the existence of flips
The first aim of this note is to give a concise, but complete and self-contained, presentation of the fundamental theorems of Mori theory - the nonvanishing, base point free, rationality and cone theorems - using modern methods of multiplier ideals, Nadel vanishing, and the subadjunction theorem of Kawamata. The second aim is to write up a complete, detailed proof of existence of flips in dimension n assuming the minimal model program with scaling in dimension n-1.
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