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math.AG2021
Arquile varieties -- varieties consisting of power series in a single variable
Herwig Hauser, Sebastian Woblistin
Arquile varieties are zerosets of polynomial, algebraic, analytic, or formal equations f(t,y_1,...,y_m) = 0 with solutions y(t) = (y_1(t),...,y_m(t)) in affine m-space over an alge…
math.AG2021
Isosingular loci of algebraic varieties
Christopher Chiu, Herwig Hauser
We define the notion of isosingular loci of algebraic varieties, following the analytic case first studied by Ephraim. In particular, we give a partial extension of his main result…