کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904619 1633752 2018 81 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Picard group of the universal moduli space of vector bundles on stable curves
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
The Picard group of the universal moduli space of vector bundles on stable curves
چکیده انگلیسی
We construct the moduli stack of properly balanced vector bundles on semistable curves and we determine explicitly its Picard group. As a consequence, we obtain an explicit description of the Picard groups of the universal moduli stack of vector bundles on smooth curves and of the Schmitt's compactification over the stack of stable curves. We prove some results about the gerbe structure of the universal moduli stack over its rigidification by the natural action of the multiplicative group. In particular, we give necessary and sufficient conditions for the existence of Poincaré bundles over the universal curve of an open substack of the rigidification, generalizing a result of Mestrano-Ramanan.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 336, 1 October 2018, Pages 477-557
نویسندگان
,