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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Bibliographic Details
Published inMathematische Zeitschrift Vol. 272; no. 3-4; pp. 1243 - 1257
Main Authors Keum, JongHae, Lee, Yongnam, Park, Heesang
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.12.2012
Subjects
Mathematics
Mathematics and Statistics
Double Cover
Short Exact Sequence
General Type
Minimal Surface
Smooth Point
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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