Del Pezzo Zoo
نویسندگان
چکیده
منابع مشابه
Del Pezzo Zoo
We study quasismooth hypersurfaces in P(a0, a1, a2, a3) of degree d < P 3 i=0 ai. All varieties are assumed to be complex, projective and normal.
متن کاملNonnormal Del Pezzo Surfaces
0.1 Throughout this paper, a del Pezzo surface is by definition a connected, 2-dimensional, projective k-scheme X,OX(1) that is Gorenstein and anticanonically polarised; in other words, X is Cohen–Macaulay, and the dualising sheaf is invertible and antiample: ωX ∼= OX(−1). For example, X = X3 ⊂ P 3 an arbitrary hypersurface of degree 3. Under extra conditions, del Pezzo surfaces are interesting...
متن کاملNonrational Del Pezzo Fibrations
In this paper we study cubic del Pezzo fibrations f : X → P such that the 3-fold X is smooth and rkPic(X) = 2. These are the examples of smooth 3-fold Mori fibre spaces. The 3-fold X is a divisor in the linear system |3M + nL| on the rational scroll Proj(⊕ i=1 OP1(di)), where n and di are integers, d1 ≥ d2 ≥ d3 ≥ d4 = 0, M is a tautological line bundle, and L is a fibre of the projection to P. ...
متن کاملBirationally Rigid Del Pezzo Fibrations
In this paper we study del Pezzo fibrations z : X → P1 of degree 1 and 2 such that X is smooth, rk Pic(X) = 2 and K2 X ∈ NE(X). These are examples of smooth birationally rigid 3-fold Mori fibre spaces. We describe all birational transformations of the 3-fold X into elliptic fibrations, fibrations of surfaces of Kodaira dimension zero, and canonical Fano 3-folds. Let X be a smooth 3-fold1 of Pic...
متن کاملWeak Del Pezzo with Irregularity
I construct normal del Pezzo surfaces, and regular weak del Pezzo surfaces as well, with positive irregularity q > 0. Such things can happen only over nonperfect fields. The surfaces in question are twisted forms of nonnormal del Pezzo surfaces, which were classified by Reid. The twisting is with respect to the flat topology and infinitesimal group scheme actions. The twisted surfaces appear as...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Experimental Mathematics
سال: 2013
ISSN: 1058-6458,1944-950X
DOI: 10.1080/10586458.2013.813775