A Royal Road to algebraic geometry
This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for learning geometry, than to read all of his work Elements. Euclid is said to have answered: There is no...
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| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Témata: | |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A Royal road to algebraic geometry, Audun Holme, Berlin, Springer, 2012, 1 vol.(XIII-364 p.), 978-3-642-19224-1 |
| LEADER | 03805nam a22003497a 4500 | ||
|---|---|---|---|
| 001 | 958595 | ||
| 008 | 140210q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN17620539X | ||
| 020 | |a 9783642192258 | ||
| 041 | 0 | |a eng | |
| 082 | |a 516.35 | ||
| 084 | |a 14-01. 2010 | ||
| 100 | 1 | |a Holme, Audun, |d 1938-2026. | |
| 245 | 1 | 0 | |a A Royal Road to algebraic geometry |c Audun Holme. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 357-358 de l'édition imprimée. Index | ||
| 505 | 1 | |a Part I Curves: 1 Affine and Projective Space 2 Curves in A2 k and in P2 3 Higher Geometry in the Projective Plane 4 Plane Curves and Algebra 5 Projective Varieties in PNk Part II Introduction to Grothendieck s Theory of Schemes: 6 Categories and Functors 7 Constructions and Representable Functors 8 Abelian Categories 9 The Concept of Spec(A) 10 The Category of Schemes 11 Properties of Morphisms of Schemes 12 Modules, Algebras and Bundles on a Scheme 13 More Properties of Morphisms, Scheme Theoretic Image and the Sorite 14 Projective Schemes and Bundles 15 Further Properties of Morphisms 16 Conormal Sheaf and Projective Bundles 17 Cohomology Theory on Schemes 18 Intersection Theory 19 Characteristic Classes in Algebraic Geometry 20 The Riemann-Roch Theorem 21 Some Basic constructions in the category of projective kvarieties 22 More on Duality References Index. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for learning geometry, than to read all of his work Elements. Euclid is said to have answered: There is no royal road to geometry! The book starts by explaining this enigmatic answer, the aim of the book being to argue that indeed, in some sense there is a royal road to algebraic geometry. From a point of departure in algebraic curves, the exposition moves on to the present shape of the field, culminating with Alexander Grothendieck s theory of schemes. Contemporary homological tools are explained. The reader will follow a directed path leading up to the main elements of modern algebraic geometry. When the road is completed, the reader is empowered to start navigating in this immense field, and to open up the door to a wonderful field of research. The greatest scientific experience of a lifetime! | ||
| 650 | |a Géométrie | ||
| 650 | |a Géométrie algébrique | ||
| 776 | 0 | |0 168102684 |t A Royal road to algebraic geometry |f Audun Holme |c Berlin |n Springer |d 2012 |p 1 vol.(XIII-364 p.) |z 978-3-642-19224-1 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-19225-8 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-NPL3CB3R-Q |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:749127872 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-3-642-19225-8 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:752136860 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-3-642-19225-8 |z Accès INSA CVL | |
| 997 | |0 958595 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||