3 papers
math.AG2013
Tensor generators on schemes and stacks
Philipp Gross
We show that an algebraic stack with affine stabilizer groups satisfies the resolution property if and only if it is a quotient of a quasi-affine scheme by the action of the genera…
math.AG2012
Limits of tropicalizations
Tyler Foster, Philipp Gross, Sam Payne
We give general criteria under which the limit of a system of tropicalizations of a scheme over a nonarchimedean field is homeomorphic to the analytification of the scheme. As an a…
math.AG2010
The resolution property of algebraic surfaces
Philipp Gross
We prove that on separated algebraic surfaces every coherent sheaf is a quotient of a locally free sheaf. This class contains many schemes that are neither normal, reduced, quasipr…