Some remarks about Reider's article ?On the Infinitesimal Torelli theorem for certain irregular surfaces of general type?

1988 ◽  
Vol 281 (2) ◽  
pp. 315-324 ◽  
Author(s):  
C. A. M. Peters
Keyword(s):  
General Type ◽  
Surfaces Of General Type ◽  
Irregular Surfaces ◽  
Torelli Theorem

On the Infinitesimal Torelli theorem for certain irregular surfaces of general type

1988 ◽  
Vol 280 (2) ◽  
pp. 285-302 ◽  
Author(s):  
Igor Reider
Keyword(s):  
General Type ◽  
Surfaces Of General Type ◽  
Irregular Surfaces ◽  
Torelli Theorem

scholarly journals The classification of minimal irregular surfaces of general type with K^2=2p_g

2014 ◽  
Vol 1 (4) ◽  
pp. 479-488 ◽  
Author(s):  
Ciro Ciliberto ◽  
Margarida Mendes Lopes ◽  
Rita Pardini
Keyword(s):  
General Type ◽  
Surfaces Of General Type ◽  
Irregular Surfaces

Infinitesimal Torelli theorem for surfaces of general type with certain invariants

2005 ◽  
Vol 118 (2) ◽  
pp. 151-160
Author(s):  
Masaaki Murakami
Keyword(s):  
General Type ◽  
Surfaces Of General Type ◽  
Torelli Theorem

scholarly journals Irregular Canonical Double Surfaces

1998 ◽  
Vol 152 ◽  
pp. 203-230 ◽  
Author(s):  
Margarida Mendes Lopes ◽  
Rita Pardini
Keyword(s):  
General Type ◽  
Surfaces Of General Type ◽  
Irregular Surfaces ◽  
Canonical Map

Abstract.We classify minimal irregular surfaces of general type X with Kx ample and such that the canonical map is 2-to-l onto a canonically embedded surface.

scholarly journals On the classification of irregular surfaces of general type with nonbirational bicanonical map

1998 ◽  
Vol 350 (1) ◽  
pp. 275-308 ◽  
Author(s):  
Fabrizio Catanese ◽  
Ciro Ciliberto ◽  
Margarida Mendes Lopes
Keyword(s):  
General Type ◽  
Surfaces Of General Type ◽  
Irregular Surfaces ◽  
Bicanonical Map

scholarly journals On Surfaces of General Type withpg = q = 1 Isogenous to a Product of Curves

2008 ◽  
Vol 36 (6) ◽  
pp. 2023-2053 ◽  
Author(s):  
Francesco Polizzi
Keyword(s):  
General Type ◽  
Surfaces Of General Type

A Lower Bound on the Euler–Poincaré Characteristic of Certain Surfaces of General Type with a Linear Pencil of Hyperelliptic Curves

2016 ◽  
Vol 68 (1) ◽  
pp. 67-87
Author(s):  
Hirotaka Ishida
Keyword(s):  
Lower Bound ◽  
General Type ◽  
Hyperelliptic Curves ◽  
Surfaces Of General Type ◽  
Linear Pencil ◽  
Surface Of General Type

AbstractLet S be a surface of general type. In this article, when there exists a relatively minimal hyperelliptic fibration whose slope is less than or equal to four, we give a lower bound on the Euler–Poincaré characteristic of S. Furthermore, we prove that our bound is the best possible by giving required hyperelliptic fibrations.

scholarly journals NEW EXAMPLES OF CALABI–YAU 3-FOLDS AND GENUS ZERO SURFACES

2014 ◽  
Vol 16 (02) ◽  
pp. 1350010 ◽  
Author(s):  
GILBERTO BINI ◽  
FILIPPO F. FAVALE ◽  
JORGE NEVES ◽  
ROBERTO PIGNATELLI
Keyword(s):  
Fundamental Group ◽  
Moduli Space ◽  
General Type ◽  
Picard Number ◽  
Surfaces Of General Type ◽  
Geometric Genus ◽  
Genus Zero ◽  
New Family ◽  
Hodge Numbers ◽  
Projective Lines

We classify the subgroups of the automorphism group of the product of four projective lines admitting an invariant anticanonical smooth divisor on which the action is free. As a first application, we describe new examples of Calabi–Yau 3-folds with small Hodge numbers. In particular, the Picard number is 1 and the number of moduli is 5. Furthermore, the fundamental group is nontrivial. We also construct a new family of minimal surfaces of general type with geometric genus zero, K2 = 3 and fundamental group of order 16. We show that this family dominates an irreducible component of dimension 4 of the moduli space of the surfaces of general type.

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