关于自学Fulton《Algebraic Curves》的配套讲义及补充资料咨询

Hey there! Great pick diving into Fulton's Algebraic Curves—it’s a timeless, accessible classic for building a strong foundation in algebraic geometry. Since you’re planning a 5-6 month self-study journey, here are some targeted resources and lecture notes that align perfectly with the text:

• University-aligned Lecture Notes: Many math departments publish public lecture notes structured directly around Fulton’s book. These notes often follow the chapter order closely, expanding on proofs that feel concise in the text, adding extra examples to illustrate abstract concepts, and linking to practice problems that complement the book’s exercises. Look for undergraduate-level algebraic geometry course notes—they’ll match the pace and depth you’re aiming for over your study period.
• Curated Problem Sets with Solutions: Alongside lecture notes, seek out problem sets tied to each chapter of Fulton’s work. For self-learners, having solutions to cross-reference is a game-changer—it helps you verify your understanding and work through stuck points without getting derailed. Some instructors share their full problem sets (with answer keys) alongside their lecture notes, which is ideal for your timeline.
• Video Lecture Companions: While you asked specifically for notes, pairing them with video lectures can make dense sections (like Riemann-Roch or intersection theory) much easier to unpack. Several courses that use Fulton’s text have recorded lectures that walk through key topics step by step, which can help you stay on schedule and clarify confusing material.
• Community Discussion Threads: Even solo study benefits from community input. Look for online math forums or study groups where others are working through Fulton’s book—you’ll find shared notes, topic breakdowns, and Q&A threads that can give you fresh perspectives and keep you motivated to stick to your 5-6 month plan.

A quick tip to stay on track: Map out a rough weekly schedule—aim for 1-2 chapters per week, adjusting based on how dense the material is. Pair each chapter with corresponding lecture notes first, then dive into the book’s exercises to reinforce what you’ve learned.

备注：内容来源于stack exchange，提问作者nkh99