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

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 14E05, 14E30, 14H51, 53D30
Keywords: irreducible holomorphic symplectic manifolds, birational models, Mukai system 
@article{DOCMA_2022__27__a0,
     author = {Hellmann, Isabell},
     title = {Birational geometry of the {Mukai} system of rank two and genus two},
     journal = {Documenta mathematica},
     pages = {2691--2720},
     publisher = {mathdoc},
     volume = {27},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a0/}
}
TY  - JOUR
AU  - Hellmann, Isabell
TI  - Birational geometry of the Mukai system of rank two and genus two
JO  - Documenta mathematica
PY  - 2022
SP  - 2691
EP  - 2720
VL  - 27
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a0/
LA  - en
ID  - DOCMA_2022__27__a0
ER  - 
%0 Journal Article
%A Hellmann, Isabell
%T Birational geometry of the Mukai system of rank two and genus two
%J Documenta mathematica
%D 2022
%P 2691-2720
%V 27
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a0/
%G en
%F DOCMA_2022__27__a0
Hellmann, Isabell. Birational geometry of the Mukai system of rank two and genus two. Documenta mathematica, Tome 27 (2022), pp. 2691-2720. http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a0/