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Arakelov Geometry over Adelic Curves [[electronic resource] /] / by Huayi Chen, Atsushi Moriwaki
| Arakelov Geometry over Adelic Curves [[electronic resource] /] / by Huayi Chen, Atsushi Moriwaki |
| Autore | Chen Huayi |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2020 |
| Descrizione fisica | 1 online resource (XVIII, 452 p.) |
| Disciplina | 516.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Algebraic geometry
Commutative algebra Commutative rings Functional analysis Algebraic Geometry Commutative Rings and Algebras Functional Analysis |
| ISBN | 981-15-1728-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Metrized vector bundles: local theory -- Local metrics -- Adelic curves -- Vector bundles on adelic curves: global theory -- Slopes of tensor product -- Adelic line bundles on arithmetic varieties -- Nakai-Moishezon’s criterion -- Reminders on measure theory. |
| Record Nr. | UNISA-996418269703316 |
Chen Huayi
|
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| Singapore : , : Springer Singapore : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Arakelov Geometry over Adelic Curves / / by Huayi Chen, Atsushi Moriwaki
| Arakelov Geometry over Adelic Curves / / by Huayi Chen, Atsushi Moriwaki |
| Autore | Chen Huayi |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2020 |
| Descrizione fisica | 1 online resource (XVIII, 452 p.) |
| Disciplina | 516.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Algebraic geometry
Commutative algebra Commutative rings Functional analysis Algebraic Geometry Commutative Rings and Algebras Functional Analysis |
| ISBN | 981-15-1728-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Metrized vector bundles: local theory -- Local metrics -- Adelic curves -- Vector bundles on adelic curves: global theory -- Slopes of tensor product -- Adelic line bundles on arithmetic varieties -- Nakai-Moishezon’s criterion -- Reminders on measure theory. |
| Record Nr. | UNINA-9910484589903321 |
|
Chen Huayi
|
||
| Singapore : , : Springer Singapore : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Positivity in Arakelov Geometry over Adelic Curves : Hilbert-Samuel Formula and Equidistribution Theorem / / by Huayi Chen, Atsushi Moriwaki
| Positivity in Arakelov Geometry over Adelic Curves : Hilbert-Samuel Formula and Equidistribution Theorem / / by Huayi Chen, Atsushi Moriwaki |
| Autore | Chen Huayi |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024 |
| Descrizione fisica | 1 online resource (248 pages) |
| Disciplina | 516.35 |
| Altri autori (Persone) | MoriwakiAtsushi |
| Collana | Progress in Mathematics |
| Soggetto topico |
Algebraic geometry
Number theory Algebraic Geometry Number Theory |
| ISBN |
9783031616686
9783031616679 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Review and Preliminaries -- Normed Graded Linear Series over a Trivially Valued Field -- Arithmetic Volumes over a General Adelic Curve -- Hilbert-Samuel Property -- Relative Ampleness and Nefness -- Global Adelic Space of an Arithmetic Variety -- Generically Big and Pseudo-effective Adelic Line Bundles -- Global Positivity Conditions -- Appendix A: Some Slope Estimates. |
| Record Nr. | UNINA-9910882893703321 |
|
Chen Huayi
|
||
| Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||