{"product_id":"9788876425585","title":"Rigid Germs, the Valuative Tree, and Applications to Kato Varieties","description":"\u003ch1\u003eRigid Germs, the Valuative Tree, and Applications to Kato Varieties\u003c\/h1\u003e \u003ch2\u003eRuggiero, Matteo\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis thesis deals with specific features\nof the theory of holomorphic dynamics in dimension 2 and then sets out to study\nanalogous questions in higher dimensions, e.g. dealing with normal forms for\nrigid germs, and examples of Kato 3-folds.\u003c\/p\u003e\u003cp\u003eThe local dynamics of holomorphic maps\naround critical points is still not completely understood, in dimension 2 or\nhigher, due to the richness of the geometry of the critical set for all\niterates.\u003c\/p\u003e\u003cp\u003eIn dimension 2, the study of the\ndynamics induced on a suitable functional space (the valuative tree) allows a\nclassification of such maps up to birational conjugacy, reducing the problem to\nthe special class of rigid germs, where the geometry of the critical set is\nsimple.\u003c\/p\u003e\u003cp\u003e\n\n\n\n\n\n\u003c\/p\u003e\u003cp\u003eIn some cases, from such dynamical data\none can construct special compact complex surfaces, called Kato surfaces,\nrelated to some conjectures in complex geometry.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Edizioni della Normale\u003c\/p\u003e \u003cp\u003ePublication Date: 2016-02-29\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9788876425585\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-88-7642-559-2\u003c\/p\u003e \u003cp\u003eDimensions: 240.0cm x150.0cm\u003c\/p\u003e \u003cp\u003ePages: None\u003c\/p\u003e ","brand":"Scuola Normale Superiore","offers":[{"title":"Default Title","offer_id":44559073509516,"sku":"9788876425585","price":22.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9788876425585.jpg?v=1759919770","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9788876425585","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}