Fano Hypersurfaces in Weighted Projective 4-Spaces
نویسندگان
چکیده
منابع مشابه
Fano Hypersurfaces in Weighted Projective 4-Spaces
A Fano variety is a projective variety whose anticanonical class is ample. A 2–dimensional Fano variety is called a Del Pezzo surface. In higher dimensions, attention originally centered on smooth Fano 3–folds, but singular Fano varieties are also of considerable interest in connection with the minimal model program. The existence of Kähler–Einstein metrics on Fano varieties has also been explo...
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We study birational transformations into elliptic fibrations and birational automorphisms of quasismooth anticanonically embedded weighted Fano 3-fold hypersurfaces with terminal singularities classified by A.R. Iano-Fletcher, J. Johnson, J.Kollár, and M.Reid.
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We classify all pencils on a general weighted hypersurface of degree ∑ 4 i=1 ai in P(1, a1, a2, a3, a4) whose general members are surfaces of Kodaira dimension zero.
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In [1] some quotients of one-parameter families of Calabi-Yau varieties are related to the family of Mirror Quintics by using a construction due to Shioda. In this paper, we generalize this construction to a wider class of varieties. More specifically, let A be an invertible matrix with non-negative integer entries. We introduce varieties XA and MA in weighted projective space and in P, respect...
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We study geometry and arithmetics on quasismooth anticanonically embedded weighted Fano 3-fold hypersurfaces having terminal singularities that were classified by A.R. Iano-Fletcher, J. Johnson, J. Kollár, M.Reid.
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ژورنال
عنوان ژورنال: Experimental Mathematics
سال: 2001
ISSN: 1058-6458,1944-950X
DOI: 10.1080/10586458.2001.10504438