2 papers
math.AG2023
The algebra of symmetric tensors on smooth projective varieties
Arnaud Beauville, Jie Liu
We discuss in this note the algebra H^0(X, Sym*TX) for a smooth complex projective variety X . We compute it in some simple examples, and give a sharp bound on its Krull dimension.…
math.AG2023
Symmetric tensors on the intersection of two quadrics and Lagrangian fibration
A. Beauville, A. Etesse, A. Höring +2
Let X be a n-dimensional (smooth) intersection of two quadrics, and let T*X be its cotangent bundle. We show that the algebra of symmetric tensors on X is a polynomial algebra in n…