Luca Dal Molin

Luca Dal Molin

he/him

PhD Student at University of Trento. Working on moduli spaces and moduli stacks in the scope of real algebraic curves.

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A list of all the posts and pages found on the site. For you robots out there, there is an XML version available for digesting as well.

Pages

Posts

Big update

less than 1 minute read

Published:

A very large part of the site is updated, as you can see my first work is finally on the arXiv.

Site finally online

less than 1 minute read

Published:

Welcome to my personal website that it is finally online. If you find any mistake let me know.

portfolio

publications

talks

Maximality of the Moduli Stacks for Vector Bundles over Riemann Surfaces

Published:

We explore the concept of maximality for a moduli stack, giving a new definition for this property. This definition is given by imposing conditions on the Borel fibration for the Galois action, mimicking the classical construction for real varieties. It is applied in the context of the moduli stack of vector bundles over a Riemann surface equipped with an antiholomorphic involution induced by the Galois action. We prove that the moduli stack of vector bundles of fixed rank and degree is maximal if and only if the Riemann surface is maximal in the classical sense. This research was motivated by the classical result for the coarse moduli space of vector bundles, and we link back to it when the rank and degree are coprime.

Maximality of the Moduli Stacks for Vector Bundles over Riemann Surfaces

Published:

We explore the concept of maximality for a moduli stack, giving a new definition for this property. This definition is given by imposing conditions on the Borel fibration for the Galois action, mimicking the classical construction for real varieties. It is applied in the context of the moduli stack of vector bundles over a Riemann surface equipped with an antiholomorphic involution induced by the Galois action. We prove that the moduli stack of vector bundles of fixed rank and degree is maximal if and only if the Riemann surface is maximal in the classical sense. This research was motivated by the classical result for the coarse moduli space of vector bundles, and we link back to it when the rank and degree are coprime.

teaching