Halphen Pencils on Weighted Fano Threefold Hypersurfaces
نویسندگان
چکیده
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.
منابع مشابه
Arithmetics and Geometry of Weighted Fano Threefold Hypersurfaces
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.
متن کاملWeighted Fano Threefold Hypersurfaces
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.
متن کاملFano 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...
متن کاملFour-Dimensional Projective Orbifold Hypersurfaces
We classify four-dimensional quasismooth weighted hypersurfaces with small canonical class, and verify a conjecture of Johnson and Kollár on infinite series of quasismooth hypersurfaces with anticanonical hyperplane section in the case of fourfolds. By considering the quotient singularities that arise, we classify those weighted hypersurfaces that are canonical, Calabi–Yau, and Fano fourfolds. ...
متن کاملHalphen Pencils on Quartic Threefolds
∼= P, where g(x, y, z) = 0 is a homogeneous equation of the curve Z and (λ, μ) ∈ P. Then a general curve in P is birational to an elliptic curve. Remark 1.1. The construction of pencil P can be generalized to the case when C has at most ordinary double points and the points P1, · · · , P9 are not necessarily distinct (see [3]). The pencil P is called a standard Halphen pencil. Definition 1.2. A...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006