کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4665007 | 1633782 | 2017 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Derived categories of torsors for abelian schemes
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Derived categories of torsors for abelian schemes Derived categories of torsors for abelian schemes](/preview/png/4665007.png)
چکیده انگلیسی
In the first part of our paper, we show that there exist non-isomorphic derived equivalent genus 1 curves, and correspondingly there exist non-isomorphic moduli spaces of stable vector bundles on genus 1 curves in general. Neither occurs over an algebraically closed field. We give necessary and sufficient conditions for two genus 1 curves to be derived equivalent, and we go on to study when two principal homogeneous spaces for an abelian variety have equivalent derived categories. We apply our results to study twisted derived equivalences of the form Db(J,α)âDb(J,β), when J is an elliptic fibration, giving a partial answer to a question of CÄldÄraru.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 306, 14 January 2017, Pages 1-23
Journal: Advances in Mathematics - Volume 306, 14 January 2017, Pages 1-23
نویسندگان
Benjamin Antieau, Daniel Krashen, Matthew Ward,