Tag: Varieties

Free Download Varieties of Ultramontanism By Jeffrey von Arx (editor)
1997 | 152 Pages | ISBN: 0813208718 | PDF | 1 MB
A collection of looks at 19th century Ultramontane thought through the perspective of several major churchmen who accessed the cardinalate between the beginning of the 19th and the middle of the 20th centuries. Originally from a lecture series.

Free Download Completely Regular Semigroup Varieties: A Comprehensive Study with Modern Insights (Synthesis Lectures on Mathematics & Statistics) by Mario Petrich, Norman R. Reilly
English | March 12, 2024 | ISBN: 3031428900 | 252 pages | MOBI | 63 Mb
This book is a unified treatment of the most important core developments in the theory of completely regular semigroup theory as it stands today. This volume focuses on the lattice of varieties of completely regular semigroups. Since any in-depth study of the lattice of varieties requires an understanding of free completely regular semigroups, the book begins by describing the free object on countably infinite sets and the properties of the lattice of fully invariant congruences on the free object. The authors introduce various associated relations and operators on the lattice of varieties of completely regular semigroups. Following that, the book covers the sublattice of varieties of bands with a focus on the influence of that sublattice on the structure of the whole lattice. The book concludes with the remarkable theorem due to Polák describing the whole lattice of varieties of completely regular as a subdirect product of lattices,some of which are well understood. The authors include recent advances, insights, results, and techniques throughout the book.

Free Download Algebraic Transformation Groups and Algebraic Varieties: Proceedings of the conference Interesting Algebraic Varieties Arising in Algebraic Transformation Group Theory held at the Erwin Schrödinger Institute, Vienna, October 22-26, 2001 By Ciro Ciliberto, Vincenzo Di Gennaro (auth.), Vladimir L. Popov (eds.)
2004 | 238 Pages | ISBN: 3642058752 | PDF | 2 MB
"… This book gives a good flavour of some current research in algebraic transofrmation groups and their applications. …"B.Martin, Newsletter of the New Zealand Mathematical Society, No. 93, April 2005

Free Download Gröbner’s Problem and the Geometry of GT-Varieties
English | 2024 | ISBN: 3031688570 | 166 Pages | PDF EPUB (True) | 16 MB
This book presents progress on two open problems within the framework of algebraic geometry and commutative algebra: Gröbner’s problem regarding the arithmetic Cohen-Macaulayness (aCM) of projections of Veronese varieties, and the problem of determining the structure of the algebra of invariants of finite groups. We endeavour to understand their unexpected connection with the weak Lefschetz properties (WLPs) of artinian ideals. In 1967, Gröbner showed that the Veronese variety is aCM and exhibited examples of aCM and nonaCM monomial projections. Motivated by this fact, he posed the problem of determining whether a monomial projection is aCM. In this book, we provide a comprehensive state of the art of Gröbner’s problem and we contribute to this question with families of monomial projections parameterized by invariants of a finite abelian group called G-varieties. We present a new point of view in the study of Gröbner’s problem, relating it to the WLP of Artinian ideals. GT varieties are a subclass of G varieties parameterized by invariants generating an Artinian ideal failing the WLP, called the Galois-Togliatti system. We studied the geometry of the G-varieties; we compute their Hilbert functions, a minimal set of generators of their homogeneous ideals, and the canonical module of their homogeneous coordinate rings to describe their minimal free resolutions. We also investigate the invariance of nonabelian finite groups to stress the link between projections of Veronese surfaces, the invariant theory of finite groups and the WLP. Finally, we introduce a family of smooth rational monomial projections related to G-varieties called RL-varieties. We study the geometry of this family of nonaCM monomial projections and we compute the dimension of the cohomology of the normal bundle of RL varieties. This book is intended to introduce Gröbner’s problem to young researchers and provide new points of view and directions for further investigations.

Free Download Dr. Etzel A. Cardeña PhD, "Varieties of Anomalous Experience: Examining the Scientific Evidence "
English | ISBN: 143381529X | 2013 | 452 pages | PDF | 6 MB
In this revised and updated edition of a classic text, contributors present a wide range of research on anomalous experiences, from commonly documented sensations like synesthesia, lucid dreaming, out-of-body experiences and auditory and visual hallucinations, to rarer and more seemingly inexplicable experiences such as anomalous healing, past-lives, near-death experiences, mystical experiences, and even alien abductions.

Free Download David A. Cox, "Toric Varieties (Graduate Studies in Mathematics) "
English | ISBN: 0821848194 | 2011 | 841 pages | PDF | 12 MB
Toric varieties form a beautiful and accessible part of modern algebraic geometry. This book covers the standard topics in toric geometry; a novel feature is that each of the first nine chapters contains an introductory section on the necessary background material in algebraic geometry. Other topics covered include quotient constructions, vanishing theorems, equivariant cohomology, GIT quotients, the secondary fan, and the minimal model program for toric varieties. The subject lends itself to rich examples reflected in the 134 illustrations included in the text. The book also explores connections with commutative algebra and polyhedral geometry, treating both polytopes and their unbounded cousins, polyhedra. There are appendices on the history of toric varieties and the computational tools available to investigate nontrivial examples in toric geometry. Readers of this book should be familiar with the material covered in basic graduate courses in algebra and topology, and to a somewhat lesser degree, complex analysis. In addition, the authors assume that the reader has had some previous experience with algebraic geometry at an advanced undergraduate level. The book will be a useful reference for graduate students and researchers who are interested in algebraic geometry, polyhedral geometry, and toric varieties.

Free Download Michel Zouboulakis, "The Varieties of Economic Rationality "
English | ISBN: 0415530849 | 2014 | 192 pages | EPUB | 443 KB
The concept of economic rationality is important for the historical evolution of Economics as a scientific discipline. The common idea about this concept -even between economists- is that it has a unique meaning which is universally accepted. This new volume argues that "economic rationality" is not not a universal concept with one single meaning, and that it in fact has different, if not conflicting, interpretations in the evolution of discourse on economics. In order to achieve this, the book traces the historical evolution of the concept of economic rationality from Adam Smith to the present, taking in thinkers from Mill to Friedman, and encompassing approaches from neoclassical to behavioural economics.

Free Download Higher Dimensional Varieties and Rational Points by Károly Böröczky, János Kollár, Tamás Szamuely
English | PDF | 307 Pages | ISBN : 3540008209 | 40.2 MB
Exploring the connections between arithmetic and geometric properties of algebraic varieties has been the object of much fruitful study for a long time, especially in the case of curves. The aim of the Summer School and Conference on "Higher Dimensional Varieties and Rational Points" held in Budapest, Hungary during September 2001 was to bring together students and experts from the arithmetic and geometric sides of algebraic geometry in order to get a better understanding of the current problems, interactions and advances in higher dimension. The lecture series and conference lectures assembled in this volume give a comprehensive introduction to students and researchers in algebraic geometry and in related fields to the main ideas of this rapidly developing area.

Free Download Atsushi Ichino, "Periods of Quaternionic Shimura Varieties. I. "
English | ISBN: 1470448947 | 2021 | 214 pages | PDF | 2 MB
This book formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, which is an integral refinement of Shimura’s algebraicity conjectures on these periods. It also provides a strategy to attack this conjecture by reformulating it in terms of integrality properties of the theta correspondence for quaternionic unitary groups. The methods and constructions of the book are expected to have applications to other problems related to periods, such as the Bloch-Beilinson conjecture about special values of L-functions and constructing geometric realizations of Langlands functoriality for automorphic forms on quaternion algebras.

Free Download Diversity of Migrant Entrepreneurship in Varieties of European Capitalism : Post-Soviet Entrepreneurship in Austria, Spain and Hungary
by Sanja Tepavcevic
English | 2023 | ISBN: 3031310969 | 163 Pages | True PDF | 2.85 MB