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Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces - Hyperbolicity in Montreal (Hardcover, 1st ed. 2020)
Loot Price: R1,187
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Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces - Hyperbolicity in Montreal (Hardcover, 1st ed. 2020)
Series: CRM Short Courses
Expected to ship within 12 - 19 working days
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This textbook introduces exciting new developments and cutting-edge
results on the theme of hyperbolicity. Written by leading experts
in their respective fields, the chapters stem from mini-courses
given alongside three workshops that took place in Montreal between
2018 and 2019. Each chapter is self-contained, including an
overview of preliminaries for each respective topic. This approach
captures the spirit of the original lectures, which prepared
graduate students and those new to the field for the technical
talks in the program. The four chapters turn the spotlight on the
following pivotal themes: The basic notions of o-minimal geometry,
which build to the proof of the Ax-Schanuel conjecture for
variations of Hodge structures; A broad introduction to the theory
of orbifold pairs and Campana's conjectures, with a special
emphasis on the arithmetic perspective; A systematic presentation
and comparison between different notions of hyperbolicity, as an
introduction to the Lang-Vojta conjectures in the projective case;
An exploration of hyperbolicity and the Lang-Vojta conjectures in
the general case of quasi-projective varieties. Arithmetic Geometry
of Logarithmic Pairs and Hyperbolicity of Moduli Spaces is an ideal
resource for graduate students and researchers in number theory,
complex algebraic geometry, and arithmetic geometry. A basic course
in algebraic geometry is assumed, along with some familiarity with
the vocabulary of algebraic number theory.
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