کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4583803 1630457 2016 38 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Cocycle twists of 4-dimensional Sklyanin algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Cocycle twists of 4-dimensional Sklyanin algebras
چکیده انگلیسی

We study cocycle twists of a 4-dimensional Sklyanin algebra A and a factor ring B which is a twisted homogeneous coordinate ring. Twisting such algebras by the Klein four-group G  , we show that the twists AG,μAG,μ and BG,μBG,μ have very different geometric properties to their untwisted counterparts. For example, AG,μAG,μ has only 20 point modules and infinitely many fat point modules of multiplicity 2. The ring BG,μBG,μ falls under the purview of Artin and Stafford's classification of noncommutative curves, and we describe it using a sheaf of orders over an elliptic curve.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 457, 1 July 2016, Pages 323–360
نویسندگان
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