Semistable degeneration of Godeaux surfaces with relatively nef canonical bundle상대적으로 네프 케노니컬 번들의 조건하에 고도 곡면의 변형

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We classify the central fiber of a semistable degeneration (in the sense of the semistable reduction theorem) of Godeaux surfaces, under the condition that the dualizing sheaf is relatively nef. We prove in particular that if the central fiber is reducible then all its components have negative Kodaira dimension. As a corollary, this result provides a classification of possible central fibers of a semistable degeneratioI having two components.
Publisher
WILEY-V C H VERLAG GMBH
Issue Date
2000-10
Language
English
Article Type
Article
Keywords

GENERAL TYPE; THREEFOLDS; BOUNDS

Citation

MATHEMATISCHE NACHRICHTEN, v.219, pp.135 - 146

ISSN
0025-584X
DOI
10.1002/1522-2616(200011)219:1<135::AID-MANA135>3.0.CO;2-5
URI
http://hdl.handle.net/10203/78265
Appears in Collection
MA-Journal Papers(저널논문)
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