Abstract
Abstract
Let
$C\; : \;y^2=f(x)$
be a hyperelliptic curve of genus
$g\geq 1$
, defined over a complete discretely valued field
$K$
, with ring of integers
$O_K$
. Under certain conditions on
$C$
, mild when residue characteristic is not
$2$
, we explicitly construct the minimal regular model with normal crossings
$\mathcal{C}/O_K$
of
$C$
. In the same setting we determine a basis of integral differentials of
$C$
, that is an
$O_K$
-basis for the global sections of the relative dualising sheaf
$\omega _{\mathcal{C}/O_K}$
.
Publisher
Cambridge University Press (CUP)
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