کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
401432 675356 2009 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A tessellation for Fermat surfaces in
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
A tessellation for Fermat surfaces in
چکیده انگلیسی

For each positive integer n, we present a tessellation of that can be lifted, through the branched covering, to a symmetric tessellation of the Fermat surface (a 4-manifold) of degree n in . The process is systematic and symbolically algebraic. Each four-cell in the tessellation is bounded by four pentahedrons, and each pentahedron has four triangular faces and one quadrilateral face. Graphically, one can produce the entire surface from one single four-cell using translations generated by permutations and phase multiplications of the homogeneous coordinates of . Note that the tessellation of the Fermat surface of degree 4, a K3 surface, has exactly 24 vertices.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Symbolic Computation - Volume 44, Issue 6, June 2009, Pages 591-605