Tuomas Tajakka

activity

20202025

collaborators

3 papers

math.AG2025

Projectivity of Moduli Spaces in the Higher-Rank DT/PT Correspondence

Mihai Pavel, Tuomas Tajakka

We study projectivity of moduli spaces on the DT/PT wall crossing in Bridgeland and polynomial stability on a smooth, projective threefold. First, we construct a globally generated…

math.AG2023

Moduli of $G$ -bundles under nonconnected group schemes and nondensity of essentially finite bundles

Ludvig Olsson, Stefan Reppen, Tuomas Tajakka

We prove the existence of a projective good moduli space of principal $G$ -bundles under nonconnected reductive group schemes $G$ over a smooth projective curve…

math.AG2020

Uhlenbeck compactification as a Bridgeland moduli space

Tuomas Tajakka

Let $(X, H)$ be a smooth, projective, polarized surface over $C$ , and let $v \in K_{num} (X)$ be a class of positive rank. We prove that for certain Bridgeland stab…

Projectivity of Moduli Spaces in the Higher-Rank DT/PT Correspondence

Moduli of G-bundles under nonconnected group schemes and nondensity of essentially finite bundles

Uhlenbeck compactification as a Bridgeland moduli space

Moduli of $G$ -bundles under nonconnected group schemes and nondensity of essentially finite bundles