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Enumerative Geometry and Classical Algebraic Geometry
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Unmanned Aerial Vehicles Applications: Challenges and Trends
This is a book that covers different aspects of UAV technology, including design and development, applications, security and communication, and legal and regulatory challenges. The book is divided into 13 chapters, grouped into four parts. The first part discusses the design and development of UAVs, including ROS customization, structured designs, and intelligent trajectory tracking. The second part explores diverse applications such as search and rescue, monitoring distributed parameter systems, and leveraging drone technology in accounting. The third part focuses on security and communication challenges, including security concerns, multi-UAV systems, and communications security. The final part delves into the legal and regulatory challenges of integrating UAVs into non-segregated airspace. The book serves as a valuable resource for researchers, practitioners, and students in the field of unmanned aerial vehicles, providing a comprehensive understanding of UAV technology and its applications.
Enumerative Algebraic Geometry
1989 marked the 150th anniversary of the birth of the great Danish mathematician Hieronymus George Zeuthen. Zeuthen's name is known to every algebraic geometer because of his discovery of a basic invariant of surfaces. However, he also did fundamental research in intersection theory, enumerative geometry, and the projective geometry of curves and surfaces. Zeuthen's extraordinary devotion to his subject, his characteristic depth, thoroughness, and clarity of thought, and his precise and succinct writing style are truly inspiring. During the past ten years or so, algebraic geometers have reexamined Zeuthen's work, drawing from it inspiration and new directions for development in the field. The 1989 Zeuthen Symposium, held in the summer of 1989 at the Mathematical Institute of the University of Copenhagen, provided a historic opportunity for mathematicians to gather and examine those areas in contemporary mathematical research which have evolved from Zeuthen's fruitful ideas. This volume, containing papers presented during the symposium, as well as others inspired by it, illuminates some currently active areas of research in enumerative algebraic geometry.
Configuration Spaces over Hilbert Schemes and Applications
The main themes of this book are to establish the triple formula without any hypotheses on the genericity of the morphism, and to develop a theory of complete quadruple points, which is a first step towards proving the quadruple point formula under less restrictive hypotheses. This book should be of interest to graduate students and researchers in the field of algebraic geometry. The reader is expected to have some basic knowledge of enumerative algebraic geometry and pointwise Hilbert schemes.
Algebraic Geometry
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Enumerative Geometry
The central topics of this volume are enumerative geometry and intersection theory. The contributions are original (refereed) research papers.
Proceedings of the 1984 Vancouver Conference in Algebraic Geometry
Covers a cross-section of the developments in modern algebraic geometry. This work covers topics including algebraic groups and representation theory, enumerative geometry, Schubert varieties, rationality, compactifications and surfaces.
The Rumen and Its Microbes
The Rumen and Its Microbes is a contribution to the ecology of this important microbial habitat. Relatively few microbial habitats have been subjected to a thorough quantitative ecological analysis. The rumen fermentation is peculiarly suitable because of its relatively constant and continuous nature and because of the very rapid rates of conversion of organic matter. Although analysis of the ruminant-microbe symbiosis is still far from complete, knowledge is sufficient for formulation of principles and for identification and measurement of important parameters. The first eight chapters of the book include a description of the rumen and its microbes, their activities, and the extent of these activities. This basic biology provides a framework in which applications to agriculture can be evaluated. These applications are discussed in the last four chapters: host metabolism, variation in the rumen, possible practical applications, and abnormalities in rumen function.
Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties
In this book we study Hilbert schemes of zero-dimensional subschemes of smooth varieties and several related parameter varieties of interest in enumerative geometry. The main aim here is to describe their cohomology and Chow rings. Some enumerative applications are also given. The Weil conjectures are used to compute the Betti numbers of many of the varieties considered, thus also illustrating how this powerful tool can be applied. The book is essentially self-contained, assuming only a basic knowledge of algebraic geometry; it is intended both for graduate students and research mathematicians interested in Hilbert schemes, enumertive geometry and moduli spaces.
Algebraic Geometry. Sundance 1986
This volume presents selected papers resulting from the meeting at Sundance on enumerative algebraic geometry. The papers are original research articles and concentrate on the underlying geometry of the subject.
