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math.AG2014★ 1 cited
Gaps in Taylor series of algebraic functions
Seth Dutter
Let be a rational function on an algebraic curve over the complex numbers. For a point and local parameter we can consider the Taylor series for in the variable …
math.AG2010★ 3 cited
Logarithmic Jet Spaces and Intersection Multiplicities
Seth Dutter
The theory of relative logarithmic jet spaces is developed for log schemes. With this theory the existence of bounds of intersection multiplicities of curves and divisors on certai…