Công thức lý thuyết lôga Hodge của tính đối xứng gương cho các nếp uốn gấp ba Calabi-Yau

• Ngôn ngữ: vie
• Ký hiệu phân loại: 512.74 Algebraic number theory
• Thông tin xuất bản: Vietnam Journal of Mathematics, 2014
• Mô tả vật lý: 345-363
• Bộ sưu tập: Metadata
• ID: 506690

Tóm tắt

The authors hope to understand the Hodge theoretic aspect of mirror symmetry in the framework of the fundamental diagram of log mixed Hodge theory. The authors give a formulation of mirror conjecture for Calabi-Yau threefolds as the coincidence of log period maps with specified sections under the mirror map. Since a variation of Hodge structure with unipotent monodromies on a product of punctured discs uniquely extends over the puncture to a log Hodge structure, the authors can work on the boundary point over which the log Riemann-Hilbert correspondence exists, and the authors can observe clearly in high resolution the behavior of Z-structure over the boundary point (cf. notes in Introduction below). This is an advantage of log Hodge theory.