کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4597063 1336199 2009 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A note on non-reduced Picard schemes
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A note on non-reduced Picard schemes
چکیده انگلیسی

The Picard scheme of a smooth curve and a smooth complex variety is reduced. In this note we discuss which classes of surfaces in terms of the Enriques–Kodaira classification can have non-reduced Picard schemes and whether there are restrictions on the characteristic of the ground field. It turns out that non-reduced Picard schemes are uncommon in Kodaira dimension κ≤0κ≤0, that this phenomenon can be bounded for κ=2κ=2 (general type) and that it is as bad as can be for κ=1κ=1.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 213, Issue 5, May 2009, Pages 737–741
نویسندگان
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