{"product_id":"lectures-on-the-arithmetic-riemannroch-theorem-9780691025445","title":"Lectures on the Arithmetic RiemannRoch Theorem","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe arithmetic Riemann-Roch Theorem has been shown by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. This book gives an introduction to the necessary techniques, and presents a simplified and extended version of the proof.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"This treatise provides a new approach to the arithmetic Riemann-Roch problem, and a widely algebraic-geometric method to solve it.\"--Zentralblatt fur Mathematik\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroductionList of SymbolsLecture 1Classical Riemann-Roch Theorem3Lecture 2Chern Classes of Arithmetic Vector Bundles15Lecture 3Laplacians and Heat Kernels29Lecture 4The Local Index Theorem for Dirac Operators44Lecture 5Number Operators and Direct Images62Lecture 6Arithmetic Riemann-Roch Theorem77Lecture 7The Theorem of Bismut-Vasserot93References99","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49526151709015,"sku":"9780691025445","price":49.3,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691025445.jpg?v=1731863141","url":"https:\/\/bookcurl.com\/products\/lectures-on-the-arithmetic-riemannroch-theorem-9780691025445","provider":"Book Curl","version":"1.0","type":"link"}