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Originalsprache | Englisch |
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Publikationsstatus | Elektronisch veröffentlicht (E-Pub) - 14 Okt. 2020 |
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2020.
Publikation: Arbeitspapier/Preprint › Preprint
}
TY - UNPB
T1 - On the GHKS compactification of the moduli space of K3 surfaces of degree two
AU - Hulek, Klaus
AU - Lehn, Christian
AU - Liese, Carsten
N1 - 50 pages, comments welcome!
PY - 2020/10/14
Y1 - 2020/10/14
N2 - We investigate a toroidal compactification of the moduli space of K3 surfaces of degree \(2\) originating from the program formulated by Gross-Hacking-Keel-Siebert. This construction uses Dolgachev's formulation of mirror symmetry and the birational geometry of the mirror family. Our main result in an analysis of the toric fan. For this we use the methods developed by two of us in a previous paper.
AB - We investigate a toroidal compactification of the moduli space of K3 surfaces of degree \(2\) originating from the program formulated by Gross-Hacking-Keel-Siebert. This construction uses Dolgachev's formulation of mirror symmetry and the birational geometry of the mirror family. Our main result in an analysis of the toric fan. For this we use the methods developed by two of us in a previous paper.
KW - math.AG
KW - math.CV
KW - 14J10, 14J28 (Primary), 14D06, 14D20, 14E30, (Secondary)
M3 - Preprint
BT - On the GHKS compactification of the moduli space of K3 surfaces of degree two
ER -