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math.AG2008
The -adic Dualizing Complex on an Excellent Surface with Rational Singularities
Ting Li
In this article, we show that if is an excellent surface with rational singularities, the constant sheaf is a dualizing complex. In coefficient $\mathbb{Z}_…
math.AG2007
The Étale Homology and The Cycle Maps in Adic Coefficients
Ting Li
In this article, we define the l-adic homology for a morphism of schemes satisfying certain finiteness conditions. This homology has these functors similar to the Chow groups: prop…
math.AG2007
Purely Algebraic Method to Construct Toric Schemes
Ting Li
In this article, we first give some elementary proprieties of monoids and fans, then construct a toric scheme over an arbitrary ring, from a given fan. Using Valuative Criterion, w…