{"product_id":"arithmetic-geometry-of-logarithmic-pairs-marc-hubert-nicole-9783030498634","title":"Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces: Hyperbolicity in Montr饌l","description":"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 Montr al 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: \u003cul\u003e\n\u003cli\u003eThe basic notions of o-minimal geometry, which build to the proof of the Ax-Schanuel conjecture for variations of Hodge structures;\u003c\/li\u003e\n\u003cli\u003eA broad introduction to the theory of orbifold pairs and Campana's conjectures, with a special emphasis on the arithmetic perspective;\u003c\/li\u003e\n\u003cli\u003eA systematic presentation and comparison between different notions of hyperbolicity, as an introduction to the Lang-Vojta conjectures in the projective case;\u003c\/li\u003e\n\u003cli\u003eAn exploration of hyperbolicity and the Lang-Vojta conjectures in the general case of quasi-projective varieties.\u003c\/li\u003e\n\u003c\/ul\u003e\u003ci\u003eArithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces\u003c\/i\u003e 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.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Marc-Hubert Nicole\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3030498638\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783030498634\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/01\/2020\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 247\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.19lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.63d","brand":"Marc-Hubert Nicole","offers":[{"title":"Hardcover","offer_id":44073530425599,"sku":"9783030498634","price":39.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_8fba7ba7-ace1-4c6c-9259-53d6920ffe64.jpg?v=1685448364","url":"https:\/\/www.whiterainbookhouse.com\/products\/arithmetic-geometry-of-logarithmic-pairs-marc-hubert-nicole-9783030498634","provider":"WR Book House","version":"1.0","type":"link"}