Talk:Fondements de la Géometrie Algébrique

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i have removed "TDTE" as i found it not very common like EGA, Tohoku, etc. The title "Technique de descente et théorèmes d'existence en géometrie algébrique" itself is more appropriate.Marhahs 13:51, 27 September 2006 (UTC)[reply]

Book (written in English) with explanatory material[edit]

Some "meta" details that might be useful for a "cite book" (or "cite web") template instance[edit]

Title / author[s]
Fundamental Algebraic Geometry: Grothendieck's FGA Explained
 By Barbara Fantechi et al

URL
https://books.google.com/books?id=KxH0BwAAQBAJ&printsec=frontcover&dq=Alexander+Grothendieck&hl=en&newbks=1&newbks_redir=0&sa=X&ved=2ahUKEwjnrev179-EAxVVLUQIHbo7D44Q6AF6BAgLEAI#v=onepage&q=Alexander%20Grothendieck&f=false

*** DOI url *** (This one might be more helpful than the URL shown above)
http://dx.doi.org/10.1090/surv/123

an explanatory QUOTE
...that might be appropriate for a "|quote=" field value in (a "ref" tag for) a footnote:

Alexander Grothendieck introduced many concepts into algebraic geometry; they turned out to be astoundingly powerful and productive and truly revolutionized the subject. Grothendieck sketched his new theories in a series of talks at the Séminaire Bourbaki between 1957 and 1962 and collected his write-ups in a volume entitled “Fondements de la Géométrie Algébrique,” known as FGA.

Much of FGA is now common knowledge; however, some of FGA is less well known, and its full scope is familiar to few. The present book resulted from the 2003 “Advanced School in Basic Algebraic Geometry” at the ICTP in Trieste, Italy. The book aims to fill in Grothendieck's brief sketches. There are four themes: descent theory, Hilbert and Quot schemes, the formal existence theorem, and the Picard scheme. Most results are proved in full detail; furthermore, newer ideas are introduced to promote understanding, and many connections are drawn to newer developments.

The main prerequisite is a thorough acquaintance with basic scheme theory. Thus this book is a valuable resource for anyone doing algebraic geometry.

and if the reader would like even more "explanatory" information -- perhaps expanding on "The book aims to fill in Grothendieck's brief sketches" -- then there is probably some in the "Preface" which is part of a "PDF" file that is (also) mentioned [and linked to] below.

This book is written in English[edit]

Shouldn't there be a mention of this book, (perhaps in a footnote?) here at Fondements de la Géometrie Algébrique?
... or perhaps also [or instead] in the article about Alexander Grothendieck -- ? --

Many of the links from this article (that is, from the article about Fondements de la Géometrie Algébrique) seem to be in French or in some other language (not English). That is also the case for some of the links (e.g. from footnotes) in the article about Alexander Grothendieck ... including some which do not seem to specify which language (obviously not English) the source is written in.

This book (see the "meta" details above) is in English.

the Preface[edit]

The ('open access') content available (for free) at https://www.ams.org/books/surv/123/surv123-endmatter.pdf includes several other sections [or 'meta' sections] of this book, besides

  • the Preface;

but -- (since that PDF file [or 'web page'] seems to be "Free content" ...it appears to have no 'paywall') -- one may feel free to ignore some of it. On the other hand, some of the other sections, such as

  • the Table of Contents
  • the APPENDIX A. ANSWERS TO ALL THE EXERCISES [in Section 9]
  • the Appendix B. Basic intersection theory
  • the Bibliography
    and
  • the Index

might [also] be of interest.

Any comments?[edit]

Thanks for listening. Mike Schwartz (talk) 18:24, 6 March 2024 (UTC)[reply]

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