徽章
发表于 2025-3-21 19:02:33
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Odyssey
发表于 2025-3-21 22:55:12
Projective Curves,er that the ground field . is algebraically closed. Since we do not have at our disposal the machinery of algebraic geometry, our treatment here is necessarily somewhat ad hoc. The preferred approach to this subject is via the theory of schemes and varieties.
LAITY
发表于 2025-3-22 03:31:47
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essential-fats
发表于 2025-3-22 08:13:11
0072-5285 on University. The motivation was to try to understand the basic facts about algebraic curves without the modern prerequisite machinery of algebraic geometry. Of course, one might well ask if this is a good thing to do. There is no clear answer to this question. In short, we are trading off easier a
HEAVY
发表于 2025-3-22 08:45:41
Textbook 2003ce and a proof, I usually chose the latter. - though I worked out many of these arguments myself, I think I can con?dently predict that few, if any, of them are novel. I also made an effort to cover some topics that seem to have been somewhat neglected in the expository literature.
Congestion
发表于 2025-3-22 16:06:10
0072-5285if any, of them are novel. I also made an effort to cover some topics that seem to have been somewhat neglected in the expository literature.978-0-387-22445-9Series ISSN 0072-5285 Series E-ISSN 2197-5612
期满
发表于 2025-3-22 17:24:37
Sarra Samet,Ridda Mohamed LaouarThis chapter contains some preliminary definitions and results needed in the sequel. Many of these results are quite elementary and well known, but in the self-contained spirit of the book, we have provided proofs rather than references. In this book the word “ring” means “commutative ring with identity,” unless otherwise explicitly stated.
PIZZA
发表于 2025-3-22 21:34:41
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Clumsy
发表于 2025-3-23 04:11:16
Function Fields,lement, then . will be a finitely generated algebraic extension, i.e., a finite extension. Furthermore, we assume that . is algebraically closed in ., that is, that every element of . algebraic over . already lies in . In this situation, we say that . is a . over ., or sometimes that . is a function field.
细节
发表于 2025-3-23 08:41:16
Projective Curves,er that the ground field . is algebraically closed. Since we do not have at our disposal the machinery of algebraic geometry, our treatment here is necessarily somewhat ad hoc. The preferred approach to this subject is via the theory of schemes and varieties.