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math.AG2002
Curves with only triple ramification
Stefan Schroeer
I show that the set of smooth curves of genus g admitting branched coverings X->P^1 with only triple ramification points has dimension at least max(2g-3,g). In characteristic two,…
math.AG2002
The strong Franchetta Conjecture in arbitrary characteristics
Stefan Schroeer
Using Moriwaki's calculation of the Q-Picard group for the moduli space of curves, I prove the strong Franchetta Conjecture in all characteristics. That is, the canonical class gen…
math.AG2002
Existence of vector bundles and global resolutions for singular surfaces
Stefan Schroeer, Gabriele Vezzosi
We prove two results about vector bundles on singular algebraic surfaces. First, on proper surfaces there are vector bundles of rank two with arbitrarily large second Chern number…