[PDF.90zz] Birationally Rigid Varieties: Mathematical Analysis and Asymptotics (Mathematical Surveys and Monographs)

Birationally Rigid Varieties: Mathematical Analysis and Asymptotics (Mathematical Surveys and Monographs)

[PDF.mc13] Birationally Rigid Varieties: Mathematical Analysis and Asymptotics (Mathematical Surveys and Monographs)

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 | #4606888 in Books |  2013-05-15 | Original language:English |  10.50 x7.50 x1.00l,1.80 | File type: PDF | 367 pages

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|| |The book under review is an introduction to the theory of birational rigidity, and, at the same time, is the first comprehensive account on recent developments of the field. --Zentralblatt Math|About the Author|Aleksandr P

Birational rigidity is a striking and mysterious phenomenon in higher-dimensional algebraic geometry. It turns out that certain natural families of algebraic varieties (for example, three-dimensional quartics) belong to the same classification type as the projective space but have radically different birational geometric properties. In particular, they admit no non-trivial birational self-maps and cannot be fibred into rational varieties by a rational map. The origins of...

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