By Arnaud Beauville, Brendan Hassett, Alexander Kuznetsov, Alessandro Verra, Rita Pardini, Gian Pietro Pirola

Providing an outline of the cutting-edge on rationality questions in algebraic geometry, this quantity supplies an replace at the most modern developments.  It bargains a accomplished creation to this attention-grabbing subject, and should definitely turn into a necessary reference for anyone operating within the box. Rationality difficulties are of primary value either in algebra and algebraic geometry. traditionally, rationality difficulties stimulated major advancements within the concept of abelian integrals, Riemann surfaces and the Abel–Jacobi map, between different parts, and so they have robust hyperlinks with smooth notions similar to moduli areas, Hodge idea, algebraic cycles and derived different types. this article is aimed toward researchers and graduate scholars in algebraic geometry.

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