ABSTRACT. This paper explores the relationship between real valued monomial valuations on 𝑘(𝑥, 𝑦), the resolution of cusp singularities and continued fractions. It is shown that, up to equivalence, ...

Let A = k[[ X, Y, Z ]] and k[[ T ]] be formal power series rings over a field k, and let n ≥ 4 be an integer such that $n \not\equiv 0 \operatorname{mod} 3$. Let φ ...

Affine semigroups are finitely generated submonoids of Euclidean space that naturally arise in algebraic geometry and commutative algebra, while monomial curves are defined by parametrisations whose ...

The reconstruction conjecture on edge ideals, with Kia Dalili and Will Traves, Discrete Mathematics, Volume 308, Issue 10, Pages 2002--2010 (May 2008). Tree checking for sparse complexes,with Massimo ...