کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4597850 1336235 2009 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Toroidalization of locally toroidal morphisms from N-folds to surfaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Toroidalization of locally toroidal morphisms from N-folds to surfaces
چکیده انگلیسی

The toroidalization conjecture of D. Abramovich, K. Karu, K. Matsuki, and J. Wlodarczyk asks whether any given morphism of nonsingular varieties over an algebraically closed field of characteristic zero can be modified into a toroidal morphism. Following a suggestion by Dale Cutkosky, we define the notion of locally toroidal morphisms and ask whether any locally toroidal morphism can be modified into a toroidal morphism. In this paper, we answer the question in the affirmative when the morphism is between any arbitrary variety and a surface.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 213, Issue 3, March 2009, Pages 349–359
نویسندگان
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