On the varieties, properties and classification of wheat
Author: John Le Couteur
Publisher:
Published: 1836
Total Pages: 156
ISBN-13:
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Some Properties of Differentiable Varieties and Transformations
Author: Beniamino Segre
Publisher: Springer
Published: 2012-12-06
Total Pages: 191
ISBN-13: 3642527647
DOWNLOAD EBOOKThe present volume contains, together with numerous additions and extensions, the course of lectures which I gave at Pavia (26 September till 5 October 1955) by invitation of the «Centro Internazionale Mate matico Estivo». The treatment has the character of a monograph, and presents various novel features, both in form and in substance; these are indicated in the notes which will be found at the beginning and end of each chapter. Of the nine parts into which the work is divided, the first four are essentially differential in character, the next three deal with algebraic geometry, while the last two are concerned with certain aspects of the theory of differential equations and of correspondences between topo logical varieties. A glance at the index will suffice to give a more exact idea of the range and variety of the contents, whose chief characteristic is that of establishing suggestive and sometimes unforeseen relations between apparently diverse subjects (e. g. differential geometry in the small and also in the large, algebraic geometry, function theory, topo logy, etc.); prominence is given throughout to the geometrical viewpoint, and tedious calculations are as far as possible avoided.
Hassler Whitney Collected Papers Volume I
Author: James Eelles
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 603
ISBN-13: 1461229723
DOWNLOAD EBOOKWe present here the mathematical papers of Hassler Whitney. This collection contains all the published papers, with the exception of some short announcements that Whitney did not wish to be included. We also include the introduction to his book Geometric Integration Theory, and one previously unpublished manuscript on the four-color problem. The papers are presented under some broad categories: graphs· and combinatorics, differentiable functions and singularities, analytic spaces, manifolds, bundles and characteristic classes, topology and algebraic topology, geometric integration theory. Whitney intended to write an introduction to this collection. Unfortunately he left us no manuscript at the time of his death, May 10, 1989. We had discussed the possibility of using his paper "Moscow 1935 - Topology moving toward America," written for the Centennial of the American Mathematical Society, as part of his introduction to this collection, an idea which he much liked. We therefore include this paper, which contains personal information as well as mathematical reflections, as Whitney's own introduction to these volumes. Whitney's mathematical style, like his personal style, was that of an explorer and pioneer. One of the pictures included in these volumes shows him as a mountain climber. In mathematics, he preferred to work on undeveloped areas: break new ground and build foundations. During the last twenty years of his life he concentrated his efforts on developing an educational system that builds on the natural tendency in children to be explorers.
Rational Points on Varieties
Author: Bjorn Poonen
Publisher: American Mathematical Soc.
Published: 2017-12-13
Total Pages: 358
ISBN-13: 1470437732
DOWNLOAD EBOOKThis book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools essential for current research in algebraic geometry and number theory. The book is unconventional in that it provides concise accounts of many topics instead of a comprehensive account of just one—this is intentionally designed to bring readers up to speed rapidly. Among the topics included are Brauer groups, faithfully flat descent, algebraic groups, torsors, étale and fppf cohomology, the Weil conjectures, and the Brauer-Manin and descent obstructions. A final chapter applies all these to study the arithmetic of surfaces. The down-to-earth explanations and the over 100 exercises make the book suitable for use as a graduate-level textbook, but even experts will appreciate having a single source covering many aspects of geometry over an unrestricted ground field and containing some material that cannot be found elsewhere.
Projective Varieties with Unexpected Properties
Author: Ciro Ciliberto
Publisher: Walter de Gruyter
Published: 2008-08-22
Total Pages: 401
ISBN-13: 311019970X
DOWNLOAD EBOOKThis volume contains refereed papers related to the lectures and talks given at a conference held in Siena (Italy) in June 2004. Also included are research papers that grew out of discussions among the participants and their collaborators. All the papers are research papers, but some of them also contain expository sections which aim to update the state of the art on the classical subject of special projective varieties and their applications and new trends like phylogenetic algebraic geometry. The topic of secant varieties and the classification of defective varieties is central and ubiquitous in this volume. Besides the intrinsic interest of the subject, it turns out that it is also relevant in other fields of mathematics like expressions of polynomials as sums of powers, polynomial interpolation, rank tensor computations, Bayesian networks, algebraic statistics and number theory.
Intellectual Property Rights in Plant Varieties
Author: Laurence R. Helfer
Publisher: Food & Agriculture Org.
Published: 2004
Total Pages: 120
ISBN-13: 9789251052228
DOWNLOAD EBOOKThe study provides an overview of the international intellectual property system regulating plant varieties. It identifies the essential features of this system, including the policies supporting the grant of intellectual property rights (IPRs) and the societal objectives in tension with IPRs, the institutions that have shaped the international intellectual property system, and the basic components contained in the relevant international treaties. The study aims to set forth regulatory options for national governments to protect plant varieties while achieving other public policy objectives relating to plant genetic resources.
Rationality of Varieties
Author: Gavril Farkas
Publisher: Springer Nature
Published: 2021-10-19
Total Pages: 433
ISBN-13: 3030754219
DOWNLOAD EBOOKThis book provides an overview of the latest progress on rationality questions in algebraic geometry. It discusses new developments such as universal triviality of the Chow group of zero cycles, various aspects of stable birationality, cubic and Fano fourfolds, rationality of moduli spaces and birational invariants of group actions on varieties, contributed by the foremost experts in their fields. The question of whether an algebraic variety can be parametrized by rational functions of as many variables as its dimension has a long history and played an important role in the history of algebraic geometry. Recent developments in algebraic geometry have made this question again a focal point of research and formed the impetus to organize a conference in the series of conferences on the island of Schiermonnikoog. The book follows in the tradition of earlier volumes, which originated from conferences on the islands Texel and Schiermonnikoog.
Varieties of Groups
Author: Hanna Neumann
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 202
ISBN-13: 3642885993
DOWNLOAD EBOOKVarieties of algebras are equationally defined classes of algebras, or "primitive classes" in MAL'CEV'S terminology. They made their first explicit appearance in the 1930's, in Garrett BIRKHOFF'S paper on "The structure of abstract algebras" and B. H. NEUMANN'S paper "Identical relations in groups I". For quite some time after this, there is little published evidence that the subject remained alive. In fact, however, as part of "universal algebra", it aroused great interest amongst those who had access, directly or indirectly, to PHILIP HALL'S lectures given at Cambridge late in the 1940's. More recently, category theory has provided a general setting since varieties, suitably interpreted, are very special examples of categories. Whether their relevance to category theory goes beyond this, I do not know. And I doubt that the category theoretical approach to varieties will be more than a fringe benefit to group theory. Whether or not my doubts have substance, the present volume owes its existence not to the fact that varieties fit into a vastly more general pattern, but to the benefit group theory has derived from the classification of groups by varietal properties. It is this aspect of the study of varieties that seems to have caused its reappearance in the literature in the 1950's.
Grasses of Agricultural Importance - With Information on Varieties and Properties of Grasses
Author: D. H. Robinson
Publisher: Read Books Ltd
Published: 2016-09-06
Total Pages: 50
ISBN-13: 1473354129
DOWNLOAD EBOOKThis book contains an interesting and practical guide to various grasses commonly used in agriculture. It provides information on the different varieties, their properties, benefits, and drawbacks. The purpose of this book is to provide essential information to the would-be student of grassland, to give them the basic facts upon which to base their own observations. Written in clear language and profusely illustrated, this text constitutes an invaluable tool for the novice agriculturalist or student, and makes for a worthy addition to collections of farming literature. The chapters of this book include: 'Essential Information', 'Grasses Widely Used for Seeding Down Leys', 'Grasses Less Frequently Used for Seeding Down Leys', 'Useful Pasture Grasses Not Commonly Sown', 'Worthless Grasses Common in Poor Old Grassland', etcetera. We are proud to republish this antiquarian book now complete with a new introduction on farming.
On the Geometry of Some Special Projective Varieties
Author: Francesco Russo
Publisher: Springer
Published: 2016-01-25
Total Pages: 257
ISBN-13: 3319267655
DOWNLOAD EBOOKProviding an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding into smaller projective spaces, and the classification of extremal cases. It also provides a solution of Hartshorne’s Conjecture on Complete Intersections for the class of quadratic manifolds and new short proofs of previously known results, using the modern tools of Mori Theory and of rationally connected manifolds. The new approach to some of the problems considered can be resumed in the principle that, instead of studying a special embedded manifold uniruled by lines, one passes to analyze the original geometrical property on the manifold of lines passing through a general point and contained in the manifold. Once this embedded manifold, usually of lower codimension, is classified, one tries to reconstruct the original manifold, following a principle appearing also in other areas of geometry such as projective differential geometry or complex geometry.
