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This book provides a gentle introduction to the foundations of Algebraic Geometry, starting from computational topics (ideals and homogeneous ideals, zero loci of ideals) up to increasingly intrinsic and abstract arguments, such as 'Algebraic Varieties', whose natural continuation is a more advanced course on the theory of schemes, vector bundles, and sheaf-cohomology.Valuable to students studying Algebraic Geometry and Geometry, this title contains around 60 exercises (with solutions) to help students thoroughly understand the theories introduced in the book. Proofs of the results are carried out in full detail. Many examples are discussed in order to reinforce the understanding of both the theoretical elements and their consequences, as well as the possible applications of the material.
The articles in this volume are the outcome of the Impanga Conference on Algebraic Geometry in 2010 at the Banach Center in Bedlewo. The following spectrum of topics is covered: K3 surfaces and Enriques surfaces Prym varieties and their moduli invariants of singularities in birational geometry differential forms on singular spaces Minimal Model Program linear systems toric varieties Seshadri and packing constants equivariant cohomology Thom polynomials arithmetic questions The main purpose of the volume is to give comprehensive introductions to the above topics, starting from an elementary level and ending with a discussion of current research. The first four topics are represented by the notes from the mini courses held during the conference. In the articles, the reader will find classical results and methods, as well as modern ones. This book is addressed to researchers and graduate students in algebraic geometry, singularity theory, and algebraic topology. Most of the material in this volume has not yet appeared in book form.
The SAGE Handbook of the History, Philosophy and Sociology of International Relations offers a panoramic overview of the broad field of International Relations by integrating three distinct but interrelated foci. It retraces the historical development of International Relations (IR) as a professional field of study, explores the philosophical foundations of IR, and interrogates the sociological mechanisms through which scholarship is produced and the field is structured. Comprising 38 chapters from both established scholars and an emerging generation of innovative meta-theorists and theoretically driven empiricists, the handbook fosters discussion of the field from the inside out, forcing us...
Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.
This volume collects contributions from speakers at the INdAM Workshop “Birational Geometry and Moduli Spaces”, which was held in Rome on 11–15 June 2018. The workshop was devoted to the interplay between birational geometry and moduli spaces and the contributions of the volume reflect the same idea, focusing on both these areas and their interaction. In particular, the book includes both surveys and original papers on irreducible holomorphic symplectic manifolds, Severi varieties, degenerations of Calabi-Yau varieties, uniruled threefolds, toric Fano threefolds, mirror symmetry, canonical bundle formula, the Lefschetz principle, birational transformations, and deformations of diagrams of algebras. The intention is to disseminate the knowledge of advanced results and key techniques used to solve open problems. The book is intended for all advanced graduate students and researchers interested in the new research frontiers of birational geometry and moduli spaces.
Based on extensive archival research, this book provides a new and stimulating history of International Relations (IR) as an academic discipline. Contrary to traditional accounts, it argues that IR was not invented by Anglo-American men after the First World War. Nor was it divided into neat theoretical camps. To appreciate the twists and turns of early IR scholarship, the book follows a diverse group of men and women from across Europe and beyond who pioneered the field since 1914. Like architects, they built a set of institutions (university departments, journals, libraries, etc.) but they also designed plans for a new world order (draft treaties, petitions, political commentary, etc.). To achieve these goals, they interacted closely with the League of Nations and its bodies for intellectual cooperation, until the Second World War put an end to their endeavour. Their story raises broader questions about the status of IR well beyond the inter-war period.
Theories of international relations (IR theory) aim to both explain and inform the practice of international politics. In A Dialectical Approach to Theorizing International Relations, Andreas H. Hvidsten investigates different ways of understanding this dual nature of theory through a re-reading of the canonical theoretical literature in IR. He shows how the relation between the analytical and the critical function of theory has profound implications for studying international politics, and makes the case for a dialectical understanding of theorizing as a way of reconciling the tension between analysis and critique inherent in IR theory.
"Abstract: With the rapid rise of China and the relative decline of the United States, the topic of power transition conflicts is back in popular and scholarly attention. The discipline of International Relations offers much on why violent power transition conflicts occur, yet very few substantive treatments exist on why and how peaceful changes happen in world politics. This Handbook is the first comprehensive treatment of the subject of peaceful change in International Relations. It contains some 41 chapters, all written by scholars from different theoretical and conceptual backgrounds examining the multi-faceted dimensions of this subject. In the first part, key conceptual and definitiona...