In this note, we construct a minimal surface of general type with geometric genus pg = 4, self-intersection of the canonical divisor K 2 = 32 and irregularity q = 1 such that its canonical map is an abelian cover of degree 16 of P 1 × P 1 . (2010):14J29.
Mathematics Subject Classification
In this study, the coal-based granular activated carbon from Ha Bac (GAC-HB) was used to remove basic yellow 28 (BY 28) from aqueous solution. The structure and surface properties of granular activated carbon from Ha Bac were analyzed by modern methods. Its adsorption capacity was also determined by Langmuir and Freundlich isotherms. Effects of some key operating parameters such as the initial dye concentration, contact time, pH as well as the dose of granular activated carbon from Ha Bac on the dye removal were investigated. The results show that the granular activated carbon from Ha Bac is a good adsorbent for removing basic yellow 28.
In this note, we construct three new infinite families of surfaces of general type with canonical map of degree 2 onto a surface of general type. For one of these families the canonical system has base points.
Surfaces of general type with canonical map of degree d bigger than 8 have bounded geometric genus and irregularity. In particular the irregularity is at most 2 if d ≥ 10. In the present paper, the existence of surfaces with d = 10 and all possible irregularities, surfaces with d = 12 and irregularity 1 and 2, and surfaces with d = 14 and irregularity 0 and 1 is proven, by constructing these surfaces as Z 3 2 -covers of certain rational surfaces. These results together with the construction by C. Rito of a surface with d = 12 and irregularity 0 show that all the possibilities for the irregularity in the cases d = 10, d = 12 can occur, whilst the existence of a surface with d = 14 and irregularity 2 is still an open problem.
This paper presents new examples of projective surfaces of general type over ℂ with canonical map of degree 3 onto a surface of general type. Very few examples are known of such surfaces and some of the examples in this paper present the new feature of having the canonical map not a morphism (i.e. the canonical linear system with base points).
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