کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9497200 | 1336250 | 2005 | 41 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Cube structures and intersection bundles
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Cube structures and intersection bundles Cube structures and intersection bundles](/preview/png/9497200.png)
چکیده انگلیسی
We define the notion of a hypercube structure on a functor between two commutative Picard categories which generalizes the notion of a cube structure on a Gm-torsor over an abelian scheme. We prove that the determinant functor of a relative scheme X/S of relative dimension n is canonically endowed with a (n+2)-cube structure. We use this result to define the intersection bundle IX/S(L1,â¦,Ln+1) of n+1 line bundles on X/S and to construct an additive structure on the functor IX/S:PIC(X/S)n+1âPIC(S). Then, we construct the resultant of n+1 sections of n+1 line bundles on X, and the discriminant of a section of a line bundle on X. Finally we study the relationship between the cube structures on the determinant functor and on the discriminant functor, and we use it to prove a polarization formula for the discriminant functor.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 195, Issue 1, 1 January 2005, Pages 33-73
Journal: Journal of Pure and Applied Algebra - Volume 195, Issue 1, 1 January 2005, Pages 33-73
نویسندگان
François Ducrot,