>>9319165>I already know the basics, except some of the more niche subjectshmm, then just read it when you need it; munkres has a lot of topology on metric spaces, i.e. oriented toward analysis(he was an analyst, right?); there are some new topological terms in AG, for a silly one: Noetherian space, which are the translation of the corresponding algebraic notions, and you can explore a bit of properties of zariski topology, but this stuff is usually contained in classical AG books explicitly or in form of exercises, therefore you don't need to worry about it
>>9319434that was not me replying, but yes I'm retarded
>I'm literally taking a class on it right now, plus doing some other project in algebraic topology on vector bundlesneat! I'm having one semester course on homological algebra, but there are a lot of verifications that we are avoiding, while doing the easiest ones takes the whole lecture; we are following Weibel classic, and we are adding things from Kashiwara-Schapira, but Rotman 'introduction to homological algebra' is nicer (it misses more recent triangulated categories and their localization, derived categories, for this topics he suggest the first two books); also the preface to those books are illuminating
but beware it is an handwaving subject (say in the spirit of long exact sequence, but less concrete), there are a lot of things you may want to study before(instead of) it, and applications are interesting but unmotivated for the moment, skim Weibel online article 'history of homological algebra'
>No, I want to finish Aluffi, then review my algebra by then going through Lang (not as thoroughly obviously) to be more completeic, it is a nice book indeed, if you have time go for it
>I'm actually also doing another course on plane curves, with focus on elliptic curves coincidentallyyes, going up in degree after lines and conics the next object would be elliptic curves, which have that cool algebraic group structure; how is going this course?
