Abstract
In this paper, we prove that for the genus 4 fibration, the relative canonical algebra is generated in degrees ≤3.
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References
Reid, M.,Problems on pencils of small genus, Preprint.
Reid, M., Elliptic Gorenstein Singularities of Surfaces, unpublished manuscript.
Mendes Lopes, M.,The Relative Canonical Algebra for Genus 3 Fibrations, Warwick Ph. D. thesis, 1988.
Hartshorne, R.,Algebraic Geometry, GTM 52, Springer-Verlag, 1977.
Barth, W., Peters, C., Van De Ven, A., Compact Complex Surfaces, Springer-Verlag, 1984.
Mumford, D., Varieties defined by quadratic equations, in (CIME Varenna 1969), Edizione Gremonese, Roma, 1970.
Saint-Donat, B.,On Petri's analysis of the linear system of quadrics through a canonical curve, Math. Ann.,206(1973).
Xiao, G., Surfaces fibrées en courbes de genre deux, LNM 1137, Springer-Verlag, 1985.
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Jinxing, C. The relative canonical algebra for genus 4 fibrations. Acta Mathematica Sinica 11, 44–52 (1995). https://doi.org/10.1007/BF02274046
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DOI: https://doi.org/10.1007/BF02274046