کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8897603 1630744 2018 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Direct image of parabolic line bundles
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Direct image of parabolic line bundles
چکیده انگلیسی
Given a vector bundle E, on an irreducible projective variety X, we give a necessary and sufficient criterion for E to be a direct image of a line bundle under a surjective étale morphism. The criterion in question is the existence of a Cartan subalgebra bundle of the endomorphism bundle End(E). As a corollary, a criterion is obtained for E to be the direct image of the structure sheaf under an étale morphism. The direct image of a parabolic line bundle under any ramified covering map has a natural parabolic structure. Given a parabolic vector bundle, we give a similar criterion for it to be the direct image of a parabolic line bundle under a ramified covering map.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 222, Issue 5, May 2018, Pages 1189-1202
نویسندگان
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