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math.AG2026
The Picard number of fibred Mori dream surfaces
Federico Fallucca, Roberto Pignatelli, Francesco Polizzi
Let be a smooth complex projective surface endowed with a fibration onto a smooth projective curve . We prove that, if is a Mori dream space (or, more…
math.AG2026
A minimality criterion for surfaces of general type with applications to product-quotient surfaces
Federico Fallucca
We provide a numerical criterion to find the curves on a surface of general type that are contracted to its minimal model. We then apply this approach to product-quotient surfaces,…
math.AG2026
Some rational subvarieties of moduli spaces of stable vector bundles
Sonia Brivio, Federico Fallucca, Filippo F. Favale
Let X be a smooth complex irreducible projective variety of dimension and be an ample line bundle on . In this paper, we construct families of -stable vector…