Armando j18eos
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About

I am Armando and am interested to complex geometry, in particular:

  1. positivity conditions for vector and principal (Higgs) bundles;
  2. moduli spaces of Higgs bundles;
  3. Hilbert functions of 0-dimensional schemes;
  4. weak Lefschetz properties for Artinian graded algebras.

I'm intrigued by:

  1. Dolbeault moduli spaces;
  2. cohomology of compact Kähler spaces (compact, complex, reduced analytic spaces with a Kähler form);
  3. singularites of (Poincaré) normal functions;
  4. complex projective varieties with Hessian indeterminated;
  5. counting curves and sheaves on K3 surfaces;
  6. Hopf algebra cohomology.
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