Supported by a grant of the Distinguished Young Scholars of the National Natural Science Foundation of China, Prof. SUN Xiaotao with the CAS Academy of Mathematics and Systems Science has recently achieved a research breakthrough in revealing the deep relationship between stability of vector bundles and Frobenius morphism. It is considered as a significant work with important theoretical value.
The stability of a vector bundle is one of fundamental concepts in algebraic geometry with wide applications in mathematics. Its exploration has been attracting many world-renowned mathematicians. Frobenius morphism is the most fundamental notation in algebraic geometry of positive characteristic. Prof. Sun's theorem reveals the relationship between stability of Frobenius direct images and stability of cotangent bundles.
Prof. Sun's work under the title of "Direct Images of Bundles under Frobenius Morphism" was published on the 2008 issue of the journal
Inventiones Mathematicae.
