By Boris Zilber

This ebook offers equipment and effects from the speculation of Zariski buildings and discusses their functions in geometry in addition to numerous different mathematical fields. Its logical strategy is helping us comprehend why algebraic geometry is so basic all through arithmetic and why the extension to noncommutative geometry, which has been compelled via contemporary advancements in quantum physics, is either normal and priceless. starting with a crash direction in version thought, this booklet will swimsuit not just version theorists but additionally readers with a extra classical geometric historical past.

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