Related papers: Log canonical inversion of adjunction

This is a concise overview of the definitions and properties of the linking number and its higher-order generalization, Milnor invariants.

These are general notes on tensor calculus which can be used as a reference for an introductory course on tensor algebra and calculus. A basic knowledge of calculus and linear algebra with some commonly used mathematical terminology is…

We discuss a difference between the rational and the real non-vanishing conjecture for pseudo-effective log canonical divisors of log canonical pairs. We also show the log non-vanishing theorem for rationally connected varieties under…

This article provides a brief introductory account of the theory of aperiodic order.

In this note, we give an exposition of the construction of Seiberg-Witten invariants.

In this article we determine the implicational fragments of most of the known subintuitionistic logics.

The main aim of this paper is to promote a certain style of doing coinductive proofs, similar to inductive proofs as commonly done by mathematicians. For this purpose, we provide a reasonably direct justification for coinductive proofs…

In this note we answer a question concerning lineability of the set of non-absolutely summing operators.

We show how to modify the canonical transformations to make them compatible with non-commutative Poisson brackets.

A new proof for adjoint systems of linear equations is presented. The argument is built on the principles of Algorithmic Differentiation. Application to scalar multiplication sets the base line. Generalization yields adjoint inner vector,…

The aim is to formulate a discrete analog of L'Hospital's rule and describe some of its applications. While the usual L'Hospital's rule is very well known, its discrete analog apparently was not in the literature. Since the L'Hospital's…

In this short note we briefly review some recent mathematical results relevant to the classical Regge Calculus evolution problem.

This short note present a "proof" of $P\neq NP$. The "proof" with double quotation marks is to indicate that we do not know whether the proof is correct or not (We're confused because we do know in which we make the mistakes).

A particular case of the Jacobian conjecture is considered and for small dimensional cases a computational approach is offered

In this short note a new proof of the monotone con- vergence theorem of Lebesgue integral on \sigma-class is given.

The aim of the present paper is to make some notes to the newly introduced conformable derivative as a type local fractional derivative and to present a surprising result about the relation between the conformable derivatives and the usual…

We discuss the ACC conjecture and the LSC conjecture for minimal log discrepancies of generalized pairs. We prove that some known results on these two conjectures for usual pairs are still valid for generalized pairs. We also discuss the…

Several conjectural continued fractions found with the help of various algorithms are published in this paper.

A short note that contains some Cliff's notes of the general theory (see math.AG/9905103) but concentrates on one of the stranger aspects of it - existence of other irreducible components.

This note extends the invariant defined in "An invariant of metric spaces under bornologous equivalences" to the coarse category.