{"product_id":"affine-algebraic-geometry-masayoshi-miyanishi-9789811280085","title":"Affine Algebraic Geometry: Geometry of Polynomial Rings","description":"Algebraic geometry is more advanced with the completeness condition for projective or complete varieties. Many geometric properties are well described by the finiteness or the vanishing of sheaf cohomologies on such varieties. For non-complete varieties like affine algebraic varieties, sheaf cohomology does not work well and research progress used to be slow, although affine spaces and polynomial rings are fundamental building blocks of algebraic geometry. Progress was rapid since the Abhyankar-Moh-Suzuki Theorem of embedded affine line was proved, and logarithmic geometry was introduced by Iitaka and Kawamata.Readers will find the book covers vast basic material on an extremely rigorous level:\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Masayoshi Miyanishi\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 9811280088\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9789811280085\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e World Scientific Publishing Company\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 01\/17\/2024\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 440\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.67lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 1.00d","brand":"Masayoshi Miyanishi","offers":[{"title":"Hardcover","offer_id":44634198802687,"sku":"9789811280085","price":148.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_9c120091-7180-4dbb-a0c2-21310f5822df.jpg?v=1703588071","url":"https:\/\/www.whiterainbookhouse.com\/products\/affine-algebraic-geometry-masayoshi-miyanishi-9789811280085","provider":"WR Book House","version":"1.0","type":"link"}