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The Bernstein problem and the Plateau problem are central topics in the theory of minimal submanifolds. This book presents the Douglas-Rado solution to the Plateau problem, but the main emphasis is on the Bernstein problem and its new developments in various directions.
Etale cohomology is an important branch in arithmetic geometry.
Shiing-Shen Chern (1911-2004) was one of the leading differential geometers of the 20th century. Chern's works span various fields of geometry. Inspired by Chern and his work, colleagues, students and friends - themselves highly regarded mathematicians - come together to honor and celebrate Chern's huge contributions in the form of this book.
Shiing-Shen Chern (1911-2004) was one of the leading differential geometers of the 20th century. Chern's works span various fields of geometry. Inspired by Chern and his work, colleagues, students and friends - themselves highly regarded mathematicians - come together to honor and celebrate Chern's huge contributions in the form of this book.
The book introduces the basic notions in Symplectic and Contact Geometry at the level of the second year graduate student. It also contains many exercises, some of which are solved only in the last chapter.
Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, base change theorems, duality, and l-adic cohomology.
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