Lectures on the Arithmetic Riemann-Roch Theorem. (AM-1️⃣2️⃣7️⃣), Volume 1️⃣2️⃣7️⃣
👓 Gerd FaltingsLectures on the Arithmetic Riemann-Roch Theorem. (AM-1️⃣2️⃣7️⃣), Volume 1️⃣2️⃣7️⃣
✅ The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof 🧾 mixes algebra, arithmetic, and ➕ analysis. The purpose of this book is to 📚️ give s 🎁➡️ a concise introduction to the necessary techniques, ➕ to 🎁 a simplified ➕ extended version of the necessary techniques, and to present a simplified and extended version of the proof 🧾. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field 🏑 of Arakelov-theory.
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