کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10997891 | 1346341 | 2016 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Extension de courants fermés à l'espace projectif
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A closed smooth differential (q,q)-form θ in a complex projective manifold X embedded in the projective space Pn gives rise to an “extension” to the projective space as a closed current. This means that the intersection number of this current with the direct image by the canonical injection of X of a smooth test form on X is equal to the value of θ on this test form, and that its restriction to X is obtained by means of the blow up with center X. We define in this way an integral transform given by a kernel which is a closed current in PnÃX, and which is used to bring an answer to a problem of Grothendieck. This transform is still defined for an algebraic cycle of codimension q instead of the differential (q,q)-form. We obtain a characterization of the complete intersections by the positivity of the transform. Moreover, we obtain a version of the Lefschetz theorem on the hyperplane section stating that the cohomology class arises from the hyperplane section when the intersection with X is transverse outside the hyperplane section.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Comptes Rendus Mathematique - Volume 354, Issue 6, June 2016, Pages 583-588
Journal: Comptes Rendus Mathematique - Volume 354, Issue 6, June 2016, Pages 583-588
نویسندگان
Michel Méo,