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.

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ژورنال

عنوان ژورنال: Forum of Mathematics, Sigma

سال: 2023

ISSN: ['2050-5094']

DOI: https://doi.org/10.1017/fms.2023.41