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math.AG2023
Fano fourfolds with large anticanonical base locus
Andreas Höring, Saverio Andrea Secci
A famous theorem of Shokurov states that a general anticanonical divisor of a smooth Fano threefold is a smooth K3 surface. This is quite surprising since there are several example…
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…