The Fu-Yau equation with negative slope parameter

作者：Phong Duong H; Picard Sebastien^*; Zhang Xiangwen

来源：Inventiones Mathematicae, 2017, 209(2): 541-576.

DOI：10.1007/s00222-016-0715-z

The Fu-Yau equation is an equation introduced by Fu and Yau as a generalization to arbitrary dimensions of an ansatz for the Strominger system. As in the Strominger system, it depends on a slope parameter . The equation was solved in dimension 2 by Fu and Yau in two successive papers for , and for . In the present paper, we solve the Fu-Yau equation in arbitrary dimension for . To our knowledge, these are the first non-trivial solutions of the Fu-Yau equation in any dimension strictly greater than 2.

• 出版日期2017-8