Récoltes et semailles deligne
You're referring to the famous book "Récoltes et Semailles" by Pierre Deligne!
"Récoltes et Semailles" is a book written by Pierre Deligne, a Belgian mathematician, and published in 1980. The title, which translates to "Harvests and Sowing", is a play on words, as "récoltes" means "harvests" and "semailles" means "sowing", but also references the idea of sowing seeds of knowledge and reaping the harvest of understanding.
The book is a collection of Deligne's lectures on algebraic geometry, given at the University of Paris in the 1970s. It covers a wide range of topics, including algebraic curves, surfaces, and varieties, as well as the theory of algebraic cycles and the Hodge conjecture.
The book is considered a classic in the field of algebraic geometry and has had a significant impact on the development of the subject. It is known for its clarity, rigor, and depth, and is still widely read and studied by mathematicians today.
Some of the key topics covered in the book include:
- Algebraic curves: Deligne discusses the theory of algebraic curves, including the Riemann-Hurwitz formula, the genus formula, and the theory of divisors.
- Algebraic surfaces: The book covers the theory of algebraic surfaces, including the classification of surfaces, the theory of singularities, and the study of algebraic cycles.
- Algebraic varieties: Deligne discusses the theory of algebraic varieties, including the study of algebraic cycles, the Hodge conjecture, and the theory of Chow groups.
- Hodge theory: The book covers the theory of Hodge structures, including the Hodge decomposition, the Hodge conjecture, and the theory of Hodge numbers.
- Algebraic cycles: Deligne discusses the theory of algebraic cycles, including the study of algebraic cycles, the Hodge conjecture, and the theory of Chow groups.
Overall, "Récoltes et Semailles" is a comprehensive and authoritative treatment of algebraic geometry, and is a must-read for anyone interested in the subject.