Mathematical Sciences: Hodge Theory

数学科学：霍奇理论

• 批准号: 9404642
• 负责人: Eduardo Cattani
• 金额: $ 11.5万
• 依托单位: University of Massachusetts Amherst
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-01 至 1997-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9404642&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Hodge; Theory

9404642 Cattani The topics covered in the scope of research include the study of polarized variations of Hodge structures with applications to the mirror-symmetry conjecture for Calabi-Yau spaces. Further problems related to the variation of Hodge structure, compactification of moduli spaces and computation of multidimensional residues will also be pursued. The research has potential applications to algebraic geometry and superstring theory in mathematical physics. ***

小行星9404642 研究范围涵盖的主题包括研究霍奇结构的极化变化，并将其应用于卡拉比-丘空间的镜像对称猜想。进一步的问题有关的变化霍奇结构，紧化的模空间和计算的多维残留物也将被追究。该研究对代数几何和数学物理中的超弦理论具有潜在的应用价值。 ***