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    • Divisors on K3 surfaces and Hilbert schemes 

      Baltes, Jonas (2024-06-27)
      This thesis consists of three chapters. In the first chapter we study rational curves on K3 surfaces and show that on elliptic K3s there are rational curves whose arithmetic genus tends to infinity. In the second chapter ...
    • Invariants of Kähler manifolds and Generalized Seiberg-Witten Equations 

      Bigorajski, Marcel (2024-03-06)
      The thesis explores the generalized Seiberg-Witten equations, a gauge theoretic differential equation arising in physics by coupling a non-linear spinor to a connection. The study involves an analysis of the solution space ...