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Search: MSC category 14J29 ( Surfaces of general type )

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1. CJM Online first

Ishida, Hirotaka
 The lower bound on the Euler-PoincarÃ© characteristic of certain surfaces of general type with a linear pencil of hyperelliptic curves Let $S$ be a surface of general type. In this article, when there exists a relatively minimal hyperelliptic fibration $f \colon S \rightarrow \mathbb{P}^1$ whose slope is less than or equal to four, we show the lower bound on the Euler-PoincarÃ© characteristic of $S$. Furthermore, we prove that our bound is the best possible by giving required hyperelliptic fibrations. Keywords:hyperelliptic fibration, surface of general type, double coverCategories:14D05, 14J29, 14H30

2. CJM 2012 (vol 65 pp. 195)

Penegini, Matteo; Polizzi, Francesco
 Surfaces with $p_g=q=2$, $K^2=6$, and Albanese Map of Degree $2$ We classify minimal surfaces of general type with $p_g=q=2$ and $K^2=6$ whose Albanese map is a generically finite double cover. We show that the corresponding moduli space is the disjoint union of three generically smooth irreducible components $\mathcal{M}_{Ia}$, $\mathcal{M}_{Ib}$, $\mathcal{M}_{II}$ of dimension $4$, $4$, $3$, respectively. Keywords:surface of general type, abelian surface, Albanese mapCategories:14J29, 14J10

3. CJM 2005 (vol 57 pp. 724)

Purnaprajna, B. P.
 Some Results on Surfaces of General Type In this article we prove some new results on projective normality, normal presentation and higher syzygies for surfaces of general type, not necessarily smooth, embedded by adjoint linear series. Some of the corollaries of more general results include: results on property $N_p$ associated to $K_S \otimes B^{\otimes n}$ where $B$ is base-point free and ample divisor with $B\otimes K^*$ {\it nef}, results for pluricanonical linear systems and results giving effective bounds for adjoint linear series associated to ample bundles. Examples in the last section show that the results are optimal. Categories:13D02, 14C20, 14J29

4. CJM 2003 (vol 55 pp. 649)

Zucconi, Francesco
 Surfaces with $p_{g}=q=2$ and an Irrational Pencil We describe the irrational pencils on surfaces of general type with $p_{g}=q=2$. Categories:14J29, 14J25, 14D06, 14D99
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