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How Many Zeroes?
This graduate textbook presents an approach through toric geometry to the problem of estimating the isolated solutions (counted with appropriate multiplicity) of n polynomial equations in n variables over an algebraically closed field. The text collects and synthesizes a number of works on Bernstein’s theorem of counting solutions of generic systems, ultimately presenting the theorem, commentary, and extensions in a comprehensive and coherent manner. It begins with Bernstein’s original theorem expressing solutions of generic systems in terms of the mixed volume of their Newton polytopes, including complete proofs of its recent extension to affine space and some applications to open problems. The text also applies the developed techniques to derive and generalize Kushnirenko's results on Milnor numbers of hypersurface singularities, which has served as a precursor to the development of toric geometry. Ultimately, the book aims to present material in an elementary format, developing all necessary algebraic geometry to provide a truly accessible overview suitable to second-year graduate students.
Automorphisms in Birational and Affine Geometry
The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional. The collection covers a wide range of topics and is intended for researchers in the fields of classical algebraic geometry and birational geometry (Cremona groups) as well as affine geometry with an emphasis on algebraic group actions and automorphism groups. It presents original research and surveys and provides a valuable overview of the current state of the art in these topics. Bringing together specialists from projective, birational algebraic geometry and affine and complex algebraic geometry, including Mori theory and algebraic group actions, this book is the result of ensuing talks and discussions from the conference “Groups of Automorphisms in Birational and Affine Geometry” held in October 2012, at the CIRM, Levico Terme, Italy. The talks at the conference highlighted the close connections between the above-mentioned areas and promoted the exchange of knowledge and methods from adjacent fields.
Green and Intelligent Technologies for Sustainable and Smart Asphalt Pavements
Green and Intelligent Technologies for Sustainable and Smart Asphalt Pavements contains 124 papers from 14 different countries which were presented at the 5th International Symposium on Frontiers of Road and Airport Engineering (IFRAE 2021, Delft, the Netherlands, 12-14 July 2021). The contributions focus on research in the areas of "Circular, Sustainable and Smart Airport and Highway Pavement" and collects the state-of-the-art and state-of-practice areas of long-life and circular materials for sustainable, cost-effective smart airport and highway pavement design and construction. The main areas covered by the book include: • Green and sustainable pavement materials • Recycling technolog...
Agricultural Economics and Agri-Food Business
As countries develop economically, the relative importance of agriculture decreases. However, this does not mean that the importance of agriculture has decreased overall. Agriculture has been of vital importance for humanity in every period and will remain important from now on. Agricultural economics is a branch of science that examines the allocation, distribution, and use of resources and goods produced in agriculture. Events in recent years, including climate change, environmental pollution, global warming, and the COVID-19 pandemic, have clearly demonstrated the importance of food safety and security. This book discusses the theory and practice of sustainable agriculture as well as the importance of agricultural economics and agri-food business in combating the effects of threats such as climate change and meeting the world’s food demand.
Towards a Bezout-type Theory of Affine Varieties
We study projective completions of affine algebraic varieties (defined over an algebraically closed field K) which are given by filtrations, or equivalently, integer valued 'degree like functions' on their rings of regular functions. For a polynomial map P := (P1 ..., Pn) : X & rarr; Kn of affine varieties with generically finite fibers, we prove that there are completions of the source such that the intersection of completions of the hypersurfaces {Pj = aj} for generic (a1 ..., a n) & isin; Kn coincides with the respective fiber (in short, the completions 'do not add points at infinity' for P). Moreover, we show that there are 'finite type' completions with the latter property, i.e. determi...
Microbial Metatranscriptomics Belowground
The book emphasizes role of functional microbes in soil to improve fertility and plant health in agro-ecosystem. In this compendium main emphasis is on occurrence and distribution of microbial communities, In situ active microbial quorum in rhizosphere, metratranscriptomics for microflora- and fauna, and fnctional diversity in rhizosphere. The book also highlights the importance of PGPRs in rhizosphere, root endotrophic microbes, functional niche under biotic stress, functional niche under abiotic stress, functional root derived signals, as well as functional microbe derived signals. Approaches deployed in metatranscriptomics, and molecular Tools used in rhizosphere are also discussed in detail. The book presents content is useful for students, academicians, researchers working on soil rhizosphere and as a policy document on sustenance of agriculture.
Conservation, Management and Monitoring of Forest Resources in India
This volume is devoted to compiling recent advancements, methodological improvements, new processing techniques, integration methods and rigorous applications associated with conceptual techniques on the conservation and monitoring of forest resources for a scientific audience, with a focus on cases and applications in India. The primary objective of the book is to advance the scientific understanding of the recent trends and technological improvements in forest conservation, management and related research themes in forest resources and human-wildlife interactions. The book is organized into five sections: (I) Forest Conservation Ecology (II) Forest Conservation and Society (III) Forest Man...
Foreign Direct Investment, Trade and Economic Growth
This volume examines the opportunities and challenges in Foreign Direct Investment (FDI) and trade, particularly service trade, for developing and emerging economies in a globalised world. Using comprehensive case studies from India, Pakistan, Bangladesh, Association of Southeast Asian Nations (ASEAN) and other South Asian Association for Regional Cooperation (SAARC) countries, it explores various channels through which trade and FDI affect the process of economic growth and development. In particular, it determines growth trajectories impelled by service trade (such as telecommunications, transport, finance and distribution), where developing countries are playing an increasingly significan...
Annual Report
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