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

被引：3

作者：

Bini, Gilberto ^{[1
]}

Favale, Filippo F. ^{[2
]}

Neves, Jorge ^{[3
]}

Pignatelli, Roberto ^{[4
]}

机构：

[1] Univ Milan, Dept Math, I-20133 Milan, Italy

[2] Univ Pavia, Dept Math, I-27100 Pavia, Italy

[3] Univ Coimbra, Dept Math, CMUC, P-3001501 Coimbra, Portugal

[4] Univ Trento, Dept Math, I-38123 Trento, Italy

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2014年 / 16卷 / 02期

关键词：

Calabi-Yau; 3-folds; surfaces of genus zero; GENERAL TYPE; PRODUCT; P(G)=0;

D O I：

10.1142/S0219199713500107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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, K-2 = 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.

引用

页数：20

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