Grothendieck Duality and Base Change
Grothendieck's duality theory for coherent cohomology is a fundamental tool in algebraic geometry and number theory, in areas ranging from the moduli of curves to the arithmetic theory of modular forms. Presented is a systematic overview of the entire theory, including many basic definitions an...
Tallennettuna:
| Päätekijä: | |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Sarja: | Lecture notes in mathematics
1750 |
| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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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: | • Grothendieck duality and base change, Brian Conrad, 2000, Berlin, Springer, 1 vol. (296 p.), Lecture notes in mathematics, 3-540-41134-8 • Grothendieck Duality and Base Change, Texte imprimé, 9783662167021 |
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| 041 | 0 | |a eng | |
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| 100 | 1 | |a Conrad, Brian David, |d 1970-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Grothendieck Duality and Base Change |c Brian Conrad. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1750 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Introduction -- Basic compatibilities -- Duality foundations -- Proof of main theorom -- Examples: Higher direct images. Curves -- Residues and cohomology with supports -- Trace map on smooth curves. | |
| 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 Grothendieck's duality theory for coherent cohomology is a fundamental tool in algebraic geometry and number theory, in areas ranging from the moduli of curves to the arithmetic theory of modular forms. Presented is a systematic overview of the entire theory, including many basic definitions and a detailed study of duality on curves, dualizing sheaves, and Grothendieck's residue symbol. Along the way proofs are given of some widely used foundational results which are not proven in existing treatments of the subject, such as the general base change compatibility of the trace map for proper Cohen-Macaulay morphisms (e.g., semistable curves). This should be of interest to mathematicians who have some familiarity with Grothendieck's work and wish to understand the details of this theory. | ||
| 650 | |a Principe de dualité (mathématiques) | ||
| 650 | |a Schémas (géométrie algébrique) | ||
| 650 | |a Nombres, Théorie des | ||
| 776 | 0 | |0 069549125 |t Grothendieck duality and base change |f Brian Conrad |d 2000 |c Berlin |n Springer |p 1 vol. (296 p.) |s Lecture notes in mathematics |z 3-540-41134-8 | |
| 776 | 0 | |t Grothendieck Duality and Base Change |b Texte imprimé |z 9783662167021 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b75857 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-XKZ3W0DF-8 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:75066357X |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b75857 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754012980 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b75857 |z Accès INSA CVL | |
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