Details
| Original language | English |
|---|---|
| Pages (from-to) | 344-389 |
| Number of pages | 46 |
| Journal | Journal of Algebra |
| Volume | 587 |
| Early online date | 19 Aug 2021 |
| Publication status | Published - 1 Dec 2021 |
Abstract
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In: Journal of Algebra, Vol. 587, 01.12.2021, p. 344-389.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - K3 Surfaces of zero entropy admitting an elliptic fibration with only irreducible fibers
AU - Mezzedimi, Giacomo
PY - 2021/12/1
Y1 - 2021/12/1
N2 - We classify complex K3 surfaces of zero entropy admitting an elliptic fibration with only irreducible fibers. These surfaces are characterized by the fact that they admit a unique elliptic fibration with infinite automorphism group. We furnish an explicit list of 32 Néron-Severi lattices corresponding to such surfaces. Incidentally, we are able to decide which of these 32 classes of surfaces admit a unique elliptic pencil. Finally, we prove that all K3 surfaces with Picard rank ≥19 and infinite automorphism group have positive entropy.
AB - We classify complex K3 surfaces of zero entropy admitting an elliptic fibration with only irreducible fibers. These surfaces are characterized by the fact that they admit a unique elliptic fibration with infinite automorphism group. We furnish an explicit list of 32 Néron-Severi lattices corresponding to such surfaces. Incidentally, we are able to decide which of these 32 classes of surfaces admit a unique elliptic pencil. Finally, we prove that all K3 surfaces with Picard rank ≥19 and infinite automorphism group have positive entropy.
UR - http://www.scopus.com/inward/record.url?scp=85113510230&partnerID=8YFLogxK
U2 - 10.1016/j.jalgebra.2021.08.005
DO - 10.1016/j.jalgebra.2021.08.005
M3 - Article
AN - SCOPUS:85113510230
VL - 587
SP - 344
EP - 389
JO - Journal of Algebra
JF - Journal of Algebra
SN - 0021-8693
ER -