A Noether type inequality

Hao SUN

Front. Math. China ›› 2011, Vol. 6 ›› Issue (1) : 155-159.

PDF(119 KB)
PDF(119 KB)
Front. Math. China ›› 2011, Vol. 6 ›› Issue (1) : 155-159. DOI: 10.1007/s11464-010-0090-9
RESEARCH ARTICLE
RESEARCH ARTICLE

A Noether type inequality

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Abstract

This paper gives a Noether type inequality of a minimal Gorenstein 3-fold of general type whose canonical map is generically finite.

Keywords

Noether inequality / surface / 3-fold / divisor

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Hao SUN. A Noether type inequality. Front Math Chin, 2011, 6(1): 155‒159 https://doi.org/10.1007/s11464-010-0090-9

References

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Barja M A. Numerical bounds of canonical varieties. Osaka J Math, 2000, 37: 701-718
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Bombieri E. Canonical models of surfaces of general type. Publ Math Inst Hautes Etud Sci, 1972, 42: 171-220
CrossRef Google scholar
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Chen Meng. Inequalities of Noether type for 3-folds of general type. J Math Soc. Japan, 2004, 56: 1131-1155
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Kobayashi M. On Noether’s inequality for threefolds. J Math Soc Japan, 1992, 44: 145-156
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Sun Hao. On Clifford type inequalities for algebraic surfaces. Preprint, 2009
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Tan Shengli. On the geometry of algebraic surfaces. Preprint, 2010

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2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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