{"product_id":"9783319323145","title":"IMPA Monographs","description":"\u003ch1\u003eIMPA Monographs\u003c\/h1\u003e \u003ch2\u003eDiverio, Simone; Rousseau, Erwan\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis\nbook presents recent advances on Kobayashi hyperbolicity in complex geometry,\nespecially in connection with projective hypersurfaces. This is a very active\nfield, not least because of the fascinating relations with complex algebraic\nand arithmetic geometry. Foundational works of Serge Lang and Paul A. Vojta,\namong others, resulted in precise conjectures regarding the interplay of these\nresearch fields (e.g. existence of Zariski dense entire curves should\ncorrespond to the (potential) density of rational points).\u003c\/p\u003e\u003cp\u003e\n\n\n\n\u003c\/p\u003e\u003cp\u003ePerhaps\none of the conjectures which generated most activity in Kobayashi hyperbolicity\ntheory is the one formed by Kobayashi himself in 1970 which predicts that a\nvery general projective hypersurface of degree large enough does not contain\nany (non-constant) entire curves. Since the seminal work of Green and Griffiths\nin 1979, later refined by J.-P. Demailly, J. Noguchi, Y.-T. Siu and others, it\nbecame clear that a possible general strategy to attack this problem was to\nlook at particular algebraic differential equations (jet differentials) that\nevery entire curve must satisfy. This has led to some several spectacular\nresults. Describing the state of the art around this conjecture is the main\ngoal of this work.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2016-07-21\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319323145\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-32315-2\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 89\u003c\/p\u003e ","brand":"IMPA - Instituto de Matemática Pura e Aplicada","offers":[{"title":"Default Title","offer_id":45383458488460,"sku":"9783319323145","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319323145.jpg?v=1775842066","url":"https:\/\/lateknightbooks.com\/products\/9783319323145","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}