کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9496452 | 1335830 | 2005 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Lacunary Wronskians on genus one curves
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let X be a nonsingular projective curve of genus one defined over an algebraically closed field of characteristic 0. Let D be a divisor of X of degree n>1 and let O be a (closed) point of X. As is well known, there exists a unique morphism ÏD,O:XâX such that ÏD,O(P)=Q if and only if the divisor nP-D-O+Q is principal. Our main result is a simple explicit description of the map ÏD,O in terms of Wronskians and certain Wronskian-like determinants lacunary in the sense that derivatives of some orders are skipped. Further, for n=2,3 we interpret our main result as a syzygy from classical invariant theory, thus reconciling our work with a circle of ideas treated in two papers by Weil and a recent paper by An, Kim, Marshall, Marshall, McCallum and Perlis.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 115, Issue 2, December 2005, Pages 197-214
Journal: Journal of Number Theory - Volume 115, Issue 2, December 2005, Pages 197-214
نویسندگان
Greg W. Anderson,