Fano manifolds of Calabi-Yau Hodge type

被引：24

作者：

Iliev, Atanas ^{[1
]}

Manivel, Laurent ^{[2
]}

机构：

[1] Seoul Natl Univ, Dept Math, Seoul 151747, South Korea

[2] Univ Montreal, Montreal, PQ H3T 1J4, Canada

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2015年 / 219卷 / 06期

关键词：

COHOMOLOGY; MIRROR;

D O I：

10.1016/j.jpaa.2014.07.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce and we study a class of odd dimensional compact complex manifolds whose Hodge structure in middle dimension looks like that of a Calabi-Yau threefold. We construct several series of interesting examples from rational homogeneous spaces with special properties. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：2225 / 2244

页数：20

共 22 条

[1]

Beauville A, 2000, MICH MATH J, V48, P39

[2] THEOREMS ON ACTIONS OF ALGEBRAIC GROUPS [J].

BIALYNIC.A .

ANNALS OF MATHEMATICS, 1973, 98 (03) :480-497

[3]

BORCEA C, 1983, J REINE ANGEW MATH, V344, P65

[4] GENERALIZED CALABI-YAU MANIFOLDS AND THE MIRROR OF A RIGID MANIFOLD [J].

CANDELAS, P ;

DERRICK, E ;

PARKES, L .

NUCLEAR PHYSICS B, 1993, 407 (01) :115-154

[5] Cohomologies of a double covering of a non-singular algebraic 3-fold [J].

Cynk, S .

MATHEMATISCHE ZEITSCHRIFT, 2002, 240 (04) :731-743

[6]

Donagi R., 1996, ISRAEL MATH C P, V9, P199

[7] Special Kahler manifolds [J].

Freed, DS .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 203 (01) :31-52

[8]

Gelfand I.M., 1994, DISCRIMINANTS RESULT

[9] CLASSIFICATION OF SPINORS UP TO DIMENSION -12 [J].

IGUSA, JI .

AMERICAN JOURNAL OF MATHEMATICS, 1970, 92 (04) :997-&

[10] The chow ring of the cayley plane [J].

Iliev, A ;

Manivel, L .

COMPOSITIO MATHEMATICA, 2005, 141 (01) :146-160

← 1 2 3 →