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Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces ([EBook]) : Hyperbolicity in Montréal / / edited by Marc-Hubert Nicole.
Added Personal Name	Nicole, Marc-Hubert
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2020.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2020.
Physical Details	IX, 247 p. 26 illus., 7 illus. in color. : online resource.
Series	CRM Short Courses 2522-5200
ISBN	9783030498641
Summary Note	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 Montréal 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.:
Contents note	Lectures on the Ax-Schanuel Conjecture -- Arithmetic Aspects of Orbifold Pairs -- The Lang-Vojta Conjectures on Projective Pseudo-Hyperbolic Varieties -- Hyperbolicity of Varieties of Log General Type.
Mode of acces to digital resource	Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note	- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-49864-1
Links to Related Works	Subject References: Algebraic Geometry . Number Theory . Authors: editor . Nicole, Marc-Hubert . Corporate Authors: SpringerLink (Online service) . Series: CRM Short Courses . Classification: 516.35 .

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Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces: Hyperbolicity in Montréal /

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