{"product_id":"motivic-integration-antoine-chambert-loir-9781493978854","title":"Motivic Integration","description":"Introduction.- Prologue: \u003ci\u003ep\u003c\/i\u003e-adic Integration.- Analytic Manifolds.- The Theorem of Batyrev-Kontsevich.- Igusa's Local Zeta Function.- The Grothendieck Ring of Varieties.- Additive Invariants on Algebraic Varieties.- Motivic Measures.- Cohomolical Realizations.- Localization, Completion, and Modification.- The Theorem of Bittner.- The Theorem of Larsen-Lunts and Its Applications.- Arc Schemes.- Weil Restriction.- Jet Schemes.- The Arc Scheme of a Variety.- Topological Properties of Arc Schemes.- The Theorem of Grinberg-Kazhdan-Drinfeld.- Greenberg Schemes.- Complete Discrete Valuation Rings.- The Ring Schemes \u003ci\u003eR\u003c\/i\u003en.- Greenberg Schemes.- Topological Properties of Greenberg Schemes.- Structure Theoremes for Greenberg Schemes.- Greenberg Approximation on Formal Schemes.- The Structure of the Truncation Morphisms.- Greenberg Schemes and Morphisms of Formal Schemes.- Motivic Integration.- Motivic Integration in the Smooth Case.- The Volume of a Constructibel Subset.- Measurable Subsets of Greenberg Schemes.- Motivic Integrals.- Semi-algebraic Subsets of Greenberg Schemes.- Applications.- Kapranov's Motivic Zeta Function.- Valuations and the Space of Arcs.- Motivic Volume and Birational Invariants.- Denef-Loeser's Zeta Function and the Monodromy Conjecture.- Motivic Invariants of Non-Archimedean Analytic Spaces.- Motivic Zeta Functions of Formal Shemes and Analytic Spaces.- Motivic Serre Invariants of Algebraic Varieties.- Appendix.- Constructibility in Algebraic Geometry.- Birational Geometry.- Formal and Non-Archimedean Geometry.- Index.- Bibliography.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Antoine Chambert-Loir, Johannes Nicaise, Julien Sebag\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1493978853\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781493978854\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/15\/2018\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 526\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.07lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 1.19d","brand":"Antoine Chambert-Loir","offers":[{"title":"Hardcover","offer_id":43936289194239,"sku":"9781493978854","price":159.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_2b601f8a-e086-4fa7-8c56-6a5e72112076.jpg?v=1681424690","url":"https:\/\/www.whiterainbookhouse.com\/products\/motivic-integration-antoine-chambert-loir-9781493978854","provider":"WR Book House","version":"1.0","type":"link"}