Geodesic
The cotangent bundle of K3 surfaces of degree two
Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023)

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K3 surfaces have been studied from many points of view, but the positivity of the cotangent bundle is not well understood. In this paper we explore the surprisingly rich geometry of the projectivised cotangent bundle of a very general polarised K3 surface $S$ of degree two. In particular, we describe the geometry of a surface $D_S \subset \mathbb{P}(\Omega_S)$ that plays a similar role to the surface of bitangents for a quartic in $\mathbb{P}^3$.
DOI : 10.46298/epiga.2023.9960
Classification : 14J27, 14J28, 14J42 
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     title = {The cotangent bundle of {K3} surfaces of degree two},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
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     year = {2023},
     doi = {10.46298/epiga.2023.9960},
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Anella, Fabrizio; Höring, Andreas. The cotangent bundle of K3 surfaces of degree two. Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023). doi: 10.46298/epiga.2023.9960

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