12/10/2023 0 Comments A royal road to algebraic geometry![]() The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for learning geometry, than to read all of his work Elements. This book is about modern algebraic geometry. the book must be seen as a charming invitation to algebraic geometry, along some sort of 'royal road' (of pleasure and diversity)." (Werner Kleinert, Zentralblatt MATH, Vol. The sections of the single chapters are mostly short, and the presentation is nowhere lengthy or tedious. quite a variety of topics from modern algebraic geometry is presented to the reader, often in a sketchy or survey-like manner, but always with hints for further reading. "The book under review offers a first introduction to algebraic geometry of a special kind. give a good overview of modern algebraic geometry, and I think that a reader who is interested in getting quick statements of theorems will find a lot to like in this book." (Darren Glass, The Mathematical Association of America, August, 2012) "The book sets out on a project to convey the big ideas of algebraic geometry in the 21st century in a way that will be accessible and that will get to get to the big ideas (relatively) quickly. The greatest scientific experience of a lifetime! ![]() When the road is completed, the reader is empowered to start navigating in this immense field, and to open up the door to a wonderful field of research. The reader will follow a directed path leading up to the main elements of modern algebraic geometry. Contemporary homological tools are explained. The book starts by explaining this enigmatic answer, the aim of the book being to argue that indeed, in some sense there is a royal road to algebraic geometry.įrom a point of departure in algebraic curves, the exposition moves on to the present shape of the field, culminating with Alexander Grothendieck’s theory of schemes. Euclid is said to have answered: “ There is no royal road to geometry !”
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