Abstract
We show that the minimal number of singular fibers in a genus-2 Lefschetz fibration over a closed surface of genus h is equal to 5 if h ≥ 3, 5 or 6 if h = 2 and 6 or 7 if h = 1.
| Original language | English |
|---|---|
| Pages (from-to) | 483-490 |
| Number of pages | 8 |
| Journal | Tokyo Journal of Mathematics |
| Volume | 35 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Dec 1 2012 |
| Externally published | Yes |
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Keywords
- Lefschetz fibrations
- Mapping class groups
ASJC Scopus subject areas
- Mathematics(all)
Cite this
On minimal number of singular fibers in a genus-2 lefschetz fibration. / Monden, Naoyuki.
In: Tokyo Journal of Mathematics, Vol. 35, No. 2, 01.12.2012, p. 483-490.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On minimal number of singular fibers in a genus-2 lefschetz fibration
AU - Monden, Naoyuki
PY - 2012/12/1
Y1 - 2012/12/1
N2 - We show that the minimal number of singular fibers in a genus-2 Lefschetz fibration over a closed surface of genus h is equal to 5 if h ≥ 3, 5 or 6 if h = 2 and 6 or 7 if h = 1.
AB - We show that the minimal number of singular fibers in a genus-2 Lefschetz fibration over a closed surface of genus h is equal to 5 if h ≥ 3, 5 or 6 if h = 2 and 6 or 7 if h = 1.
KW - Lefschetz fibrations
KW - Mapping class groups
UR - http://www.scopus.com/inward/record.url?scp=84890184623&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84890184623&partnerID=8YFLogxK
U2 - 10.3836/tjm/1358951332
DO - 10.3836/tjm/1358951332
M3 - Article
VL - 35
SP - 483
EP - 490
JO - Tokyo Journal of Mathematics
JF - Tokyo Journal of Mathematics
SN - 0387-3870
IS - 2
ER -