Forced Folds and Fractures


Book Description







Monomialization of Morphisms from 3-Folds to Surfaces


Book Description

A morphism of algebraic varieties (over a field characteristic 0) is monomial if it can locally be represented in e'tale neighborhoods by a pure monomial mappings. The book gives proof that a dominant morphism from a nonsingular 3-fold X to a surface S can be monomialized by performing sequences of blowups of nonsingular subvarieties of X and S. The construction is very explicit and uses techniques from resolution of singularities. A research monograph in algebraic geometry, it addresses researchers and graduate students.




The fifth (-thirteenth) annual report


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Explicit Birational Geometry of 3-folds


Book Description

This volume, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry.




The Theory of Gambling and Statistical Logic


Book Description

Covering all aspects of gambling, The Theory of Gambling and Statistical Logic is mathematically sophisticated, but can be read for what it says about the games and strategies, skipping the technicalities. The material is fascinating and detailed, and the analysis is masterful.




Some Special Properties of the Adjunction Theory for $3$-Folds in $\mathbb P^5$


Book Description

This work studies the adjunction theory of smooth 3-folds in P]5. Because of the many special restrictions on such 3-folds, the structure of the adjunction theoretic reductions are especially simple, e.g. the 3-fold equals its first reduction, the second reduction is smooth except possibly for a few explicit low degrees, and the formulae relating the projective invariants of the given 3-fold with the invariants of its second reduction are very explicit. Tables summarizing the classification of such 3-folds up to degree 12 are included. Many of the general results are shown to hold for smooth projective n-folds embedded in P]N with N 2n -1.




Toroidalization of Dominant Morphisms of 3-Folds


Book Description

This book contains a proof that a dominant morphism from a 3-fold $X$ to a variety $Y$ can be made toroidal by blowing up in the target and domain. We give applications to factorization of birational morphisms of 3-folds.




Protein Folds


Book Description

Written by outstanding scientists in physics and molecular biology, this book addresses the most recent advances in the analysis of the protein folding processes and protein structure determination. Emphasis is also placed on modelling and presentation of experimental results of structural membrane bound proteins. Many color plates help to illustrate structural aspects covered including: Defining folds of protein domains Structure determination from sequence Distance geometry Lattice theories Membrane proteins Protein-Ligand interaction Topological considerations Docking onto receptors All analysis is presented with proven theory and experimentation. Protein Folds: A Distance-Based Approach is an excellent text/reference for biotechnologists and biochemists as well as graduate students studying in the research sciences.




Classification, Delineation, and Measurement of Nonparallel Folds


Book Description

The thesis of this paper is that the stratigraphic traces of most nonparallel folds, in sections selected to show the maximum or minimum curvature, may be represented approximately by one or more families of curves that are analytically related.