Construction of surfaces of general type from elliptic surfaces via -Gorenstein smoothing
We present methods to construct interesting surfaces of general type via -Gorenstein smoothing of a singular surface obtained from an elliptic surface. By applying our methods to special Enriques surfaces, we construct new examples of a minimal surface of general type with , and K 2 ≤ 4.
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Published in | Mathematische Zeitschrift Vol. 272; no. 3-4; pp. 1243 - 1257 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer-Verlag
01.12.2012
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Subjects | |
Online Access | Get full text |
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Summary: | We present methods to construct interesting surfaces of general type via
-Gorenstein smoothing of a singular surface obtained from an elliptic surface. By applying our methods to special Enriques surfaces, we construct new examples of a minimal surface of general type with
, and
K
2
≤ 4. |
---|---|
ISSN: | 0025-5874 1432-1823 |
DOI: | 10.1007/s00209-012-0985-0 |