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math.AG2026
When is one pinhole camera image equal to some other pinhole camera image?
Giorgio Ottaviani, Rekha R. Thomas
Generically, one expects the images of two different point sets, in two different (projective) cameras, to be different. However, it can happen that the images are the same up to a…
math.AG2024
Effective methods for plane quartics, their theta characteristics and the Scorza map
Giorgio Ottaviani
This is a revised version of the lecture notes prepared for the workshop on "Plane quartics, Scorza map and related topics", held in Catania, January 19-21, 2016. The last section…
math.AG2024
Vector bundles without intermediate cohomology and the trichotomy result
Giorgio Ottaviani
Horrocks proved in 1964 that vector bundles on without intermediate cohomology split as direct sum of line bundles. This result has been the starting point of a great researc…