I aim to calculate the minimal SNC model of more general hyperelliptic curves, those with tame potentially semistable reduction, also via cluster pictures - beginning with curves over DVRs with

algebraically closed residue fields, and hopefully moving onto a general DVR.

He does assume they have already seen some non-archimedean fields, usually the p-adic numbers and hopefully the complete

algebraically closed p-adic field Cp, but he reviews them briefly just in case.

In the following, we assume that all algebras are over an

algebraically closed field F with characteristic zero, Id is the identity mapping, and Z is the set of integers.

We work over an

algebraically closed field of arbitrary characteristic throughout this paper.

Throughout H is a d-dimensional semisimple Hopf algebra over an

algebraically closed field k of characteristic 0 and H* is its dual which is a semisimple Hopf algebra as well.

Poonen, Isomorphism types of commutative algebras of finite rank over an

algebraically closed field, K.

Throughout this paper, k is an

algebraically closed field, A is a finite dimensional k-algebra.

of Newfoundland, Canada) introduce theory of gradings on Lie algebras, with a focus on classifying gradings on simple finite-dimensional Lie algebras over

algebraically closed fields.

Now let K denote an

algebraically closed field of characteristic 0 with K[x] the corresponding polynomial ring and

The equation (24) admits certainly a solution, in the body C

algebraically closed. Consequently, the number p will be complex.

Let n be a positive integer, and let V be a 2n-dimensional vector space over an

algebraically closed field K of characteristic 0.

Thus we may assume that R is centrally closed over C which is either finite or

algebraically closed and f(x, y) = 0 for all x, y [member of] R.