Related papers: Log canonical inversion of adjunction
In this work we present an analogue of the inverse scattering for Canonical systems using theory of vessels and associated to them completely integrable systems. Analytic coefficients fits into this setting, significantly expanding the…
In this note, we derive a Leibniz rule for difference quotient.
We prove the ACC for minimal log discrepancies on an arbitrary fixed threefold.
This is an account of the theory of inverse semigroups, assuming only that the reader knows the basics of semigroup theory.
We show that the log canonical threshold of a generic determinantal variety and its generic link are the same.
For a fixed pair and fixed exponents, we prove the discreteness of log discrepancies over all log canonical triples formed by attaching a product of ideals with given exponents.
The purpose of this note is to give an affirmative answer to a conjecture appearing in [Integral Transforms Spec. Funct. 26 (2015) 90-95].
In this very short note, we give a counterexample to a recent conjecture of Gilmer which would have implied the union-closed conjecture.
This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.
In this short note we prove that every Jordan derivation of triangular algebras is a derivation.
This paper summarizes the results at the present moment about singularities with respect to the Mather-Jacobian log discrepancies over algebraically closed field of arbitrary characteristic. The basic point is the Inversion of Adjunction…
We obtain simple proofs of certain inequalites for bivariate means.
This is supplementary material to "Realizations of a special class of admittances with strictly lower complexity than canonical forms" [1], which presents the detailed proofs of some results. For more background information, refer to…
The aim of this short note is to present an elementary, self-contained, and direct proof for the classical Lebesgue decomposition theorem.
We prove some statements of left- and right-continuous variants of generalized inverses of non-decreasing real functions.
These are notes from a basic course in Several Complex Variables
In this note we provide a simple formula of general term of recurrent sequence.
This set of notes provides some additional explanatory material on the analytic proof of the finite generation of the canonical ring for a compact complex algebraic manifold of general type.
We give a method to investigate isolated log canonical singularities with index one which are not log terminal. Our method depends on the minimal model program. One of the main purposes is to prove that our invariant coincides with Ishii's…
These are lecture notes from the IMPANGA 2010 Summer school. They give an introduction to log canonical thresholds, covering some basic properties, examples, and some recent results and open questions.