Geodesic
Birational geometry of the Mukai system of rank two and genus two
Documenta mathematica, Tome 27 (2022), pp. 2691-2720

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Using the techniques of Bayer–Macrì, we determine the walls in the movable cone of the Mukai system of rank two for a general K3 surface S of genus two. We study the (essentially unique) birational map to S[5] and decompose it into a sequence of flops. We give an interpretation of the exceptional loci in terms of Brill–Noether loci.
DOI : 10.4171/dm/x39
Classification : 14E05, 14E30, 14H51, 53D30
Mots-clés : irreducible holomorphic symplectic manifolds, birational models, Mukai system 
Isabell Hellmann. Birational geometry of the Mukai system of rank two and genus two. Documenta mathematica, Tome 27 (2022), pp. 2691-2720. doi: 10.4171/dm/x39
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     author = {Isabell Hellmann},
     title = {Birational geometry of the {Mukai} system of rank two and genus two},
     journal = {Documenta mathematica},
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     year = {2022},
     volume = {27},
     doi = {10.4171/dm/x39},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/x39/}
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