کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665664 1633821 2014 43 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Coolidge-Nagata conjecture, part I
ترجمه فارسی عنوان
حدس کولیج نگاتا، قسمت اول
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی
Let E⊆P2 be a complex rational cuspidal curve contained in the projective plane and let (X,D)→(P2,E) be the minimal log resolution of singularities. Applying the log Minimal Model Program to (X,12D) we prove that if E has more than two singular points or if D, which is a tree of rational curves, has more than six maximal twigs or if P2∖E is not of log general type then E is Cremona equivalent to a line, i.e. the Coolidge-Nagata conjecture for E holds. We show also that if E is not Cremona equivalent to a line then the morphism onto the minimal model contracts at most one irreducible curve not contained in D.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 267, 20 December 2014, Pages 1-43
نویسندگان
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