{ "id": "math/0312015", "version": "v3", "published": "2003-11-30T09:53:49.000Z", "updated": "2007-04-06T13:41:36.000Z", "title": "Fourier-Mukai transforms and canonical divisors", "authors": [ "Yukinobu Toda" ], "comment": "22pages", "journal": "Compositio Math.142 (2006) 962-982", "categories": [ "math.AG" ], "abstract": "Let $X$ be a smooth projective variety. We study a relationship between the derived category of $X$ and that of a canonical divisor. As an application, we will study Fourier-Mukai transforms when $\\kappa (X)=dim X-1$.", "revisions": [ { "version": "v3", "updated": "2007-04-06T13:41:36.000Z" } ], "analyses": { "subjects": [ "14E30", "14F05", "18E30", "18G10" ], "keywords": [ "canonical divisor", "study fourier-mukai transforms", "smooth projective variety", "relationship" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math.....12015T" } } }