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math.DS2012★ 1 cited
Semi-stable Reduction Implies Minimality of the Resultant
Lucien Szpiro, Michael Tepper, Phillip Williams
For a dynamical system on n-dimensional projective space over a number field or a function field, we show that semi-stable reduction implies the minimality of the resultant. We use…
math.DS2010★ 2 cited
Resultant and conductor of geometrically semi-stable self maps of the projective line over a number field or function field
Lucien Szpiro, Michael Tepper, Phillip Williams
We study the minimal resultant divisor of self-maps of the projective line over a number field or a function field and its relation to the conductor. The guiding focus is the explo…
math.DS2010
Very ample polarized self maps extend to projective space
Anupam Bhatnagar, Lucien Szpiro
Let be a projective variety defined over an infinite field, equipped with a line bundle , giving an embedding of into $\mb{P}^m$ and let be a morphism such…