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陳宗震 ( National Taiwan University )
2022-06-23  14:00 - 16:00
Room 201, Astronomy and Mathematics Building

We will introduce the module of differential of a ring and concepts into the scheme to define the sheaf of differential. In addition, we learn two applications of the sheaf of differential.

1. The connection between nonsingularity and differentials. Including the criterion of nonsingular varieties by differential sheaf, and the Bertini theorem.

2. Invariants of nonsingular varieties over a field. For example, the geometric genus is invariant under the birational equivalence, canonical sheaf, and adjunction formula.