Simple fibrations in -surfaces
نویسندگان
چکیده
Abstract We introduce the notion of a simple fibration in $(1,2)$ -surfaces – that is, hypersurface inside certain weighted projective space bundle over curve such general fibre is minimal surface type with $p_g=2$ and $K^2=1$ . prove almost all Gorenstein fibrations line at worst canonical singularities are threefolds ‘on Noether line’ $K^3=\frac 43 p_g-\frac {10}3$ , we classify them. Among them, find on have previously appeared literature. The ${\mathbb {P}}^1$ Cartier divisors toric $4$ -fold. This allows to us show, among other things, known form an open subset moduli threefolds, element this component Mori Dream Space there second when geometric genus congruent $6$ modulo $8$ ; new.
منابع مشابه
Elliptic fibrations on cubic surfaces
We classify elliptic fibrations birational to a nonsingular, minimal cubic surface over a field of characteristic zero. Our proof is adapted to provide computational techniques for the analysis of such fibrations, and we describe an implementation of this analysis in computer algebra.
متن کاملElliptic Fibrations of Some Extremal K3 Surfaces
This paper is concerned with the construction of extremal elliptic K3 surfaces. It gives a complete treatment of those fibrations which can be derived from rational elliptic surfaces by easy manipulations of their Weierstrass equations. In particular, this approach enables us to find explicit equations for 38 semi-stable extremal elliptic K3 fibrations, 32 of which are indeed defined over Q. Th...
متن کاملClassification of All Jacobian Elliptic Fibrations on Certain K3 Surfaces
In this paper we classify all configurations of singular fibers of elliptic fibrations on the double cover of P ramified along six lines in general position.
متن کاملDiagonal Fibrations Are Pointwise Fibrations
On the category of bisimplicial sets there are different Quillen closed model structures associated to various definitions of fibrations. In one of them, which is due to Bousfield and Kan and that consists of seeing a bisimplicial set as a simplicial object in the category of simplicial sets, fibrations are those bisimplicial set maps such that each of the induced simplicial set maps is a Kan f...
متن کاملElliptic Fibrations and Symplectic Automorphisms on K3 Surfaces
Nikulin has classified all finite abelian groups acting symplectically on a K3 surface and he has shown that the induced action on the K3 lattice U⊕E8(−1) depends only on the group but not on the K3 surface. For all the groups in the list of Nikulin we compute the invariant sublattice and its orthogonal complement by using some special elliptic K3 surfaces.
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: Forum of Mathematics, Sigma
سال: 2023
ISSN: ['2050-5094']
DOI: https://doi.org/10.1017/fms.2023.41