کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665911 1633833 2014 33 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability and Fourier–Mukai transforms on elliptic fibrations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Stability and Fourier–Mukai transforms on elliptic fibrations
چکیده انگلیسی

We systematically develop Bridgeland's [7] and Bridgeland–Maciocia's [10] techniques for studying elliptic fibrations, and identify criteria that ensure 2-term complexes are mapped to torsion-free sheaves under a Fourier–Mukai transform. As an application, we construct an open immersion from a moduli of stable complexes to a moduli of Gieseker stable sheaves on elliptic threefolds. As another application, we give various 1–1 correspondences between fibrewise semistable torsion-free sheaves and codimension-1 sheaves on Weierstrass surfaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 255, 1 April 2014, Pages 86–118
نویسندگان
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