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Moduli of Curves - CIMAT Guanajuato, Mexico 2016 (Paperback, 1st ed. 2017)
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Moduli of Curves - CIMAT Guanajuato, Mexico 2016 (Paperback, 1st ed. 2017)
Series: Lecture Notes of the Unione Matematica Italiana, 21
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Providing a timely description of the present state of the art of
moduli spaces of curves and their geometry, this volume is written
in a way which will make it extremely useful both for young people
who want to approach this important field, and also for established
researchers, who will find references, problems, original
expositions, new viewpoints, etc. The book collects the lecture
notes of a number of leading algebraic geometers and in particular
specialists in the field of moduli spaces of curves and their
geometry. This is an important subject in algebraic geometry and
complex analysis which has seen spectacular developments in recent
decades, with important applications to other parts of mathematics
such as birational geometry and enumerative geometry, and to other
sciences, including physics. The themes treated are classical but
with a constant look to modern developments (see Cascini, Debarre,
Farkas, and Sernesi's contributions), and include very new
material, such as Bridgeland stability (see Macri's lecture notes)
and tropical geometry (see Chan's lecture notes).
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