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Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves [[electronic resource] /] / by Jean-Benoît Bost
| Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves [[electronic resource] /] / by Jean-Benoît Bost |
| Autore | Bost Jean-Benoît |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020 |
| Descrizione fisica | 1 online resource (XXXIX, 365 p. 1 illus.) |
| Disciplina | 514.224 |
| Collana | Progress in Mathematics |
| Soggetto topico |
Algebraic geometry
Number theory Algebraic Geometry Number Theory |
| ISBN | 3-030-44329-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Hermitian vector bundles over arithmetic curves -- θ-Invariants of Hermitian vector bundles over arithmetic curves -- Geometry of numbers and θ-invariants -- Countably generated projective modules and linearly compact Tate spaces over Dedekind rings -- Ind- and pro-Hermitian vector bundles over arithmetic curves -- θ-Invariants of infinite dimensional Hermitian vector bundles: denitions and first properties -- Summable projective systems of Hermitian vector bundles and niteness of θ-invariants -- Exact sequences of infinite dimensional Hermitian vector bundles and subadditivity of their θ-invariants -- Infinite dimensional vector bundles over smooth projective curves -- Epilogue: formal-analytic arithmetic surfaces and algebraization -- Appendix A. Large deviations and Cramér's theorem -- Appendix B. Non-complete discrete valuation rings and continuity of linear forms on prodiscrete modules -- Appendix C. Measures on countable sets and their projective limits -- Appendix D. Exact categories -- Appendix E. Upper bounds on the dimension of spaces of holomorphic sections of line bundles over compact complex manifolds -- Appendix F. John ellipsoids and finite dimensional normed spaces. |
| Record Nr. | UNISA-996418257503316 |
Bost Jean-Benoît
|
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves / / by Jean-Benoît Bost
| Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves / / by Jean-Benoît Bost |
| Autore | Bost Jean-Benoît |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020 |
| Descrizione fisica | 1 online resource (XXXIX, 365 p. 1 illus.) |
| Disciplina | 514.224 |
| Collana | Progress in Mathematics |
| Soggetto topico |
Algebraic geometry
Number theory Algebraic Geometry Number Theory |
| ISBN | 3-030-44329-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Hermitian vector bundles over arithmetic curves -- θ-Invariants of Hermitian vector bundles over arithmetic curves -- Geometry of numbers and θ-invariants -- Countably generated projective modules and linearly compact Tate spaces over Dedekind rings -- Ind- and pro-Hermitian vector bundles over arithmetic curves -- θ-Invariants of infinite dimensional Hermitian vector bundles: denitions and first properties -- Summable projective systems of Hermitian vector bundles and niteness of θ-invariants -- Exact sequences of infinite dimensional Hermitian vector bundles and subadditivity of their θ-invariants -- Infinite dimensional vector bundles over smooth projective curves -- Epilogue: formal-analytic arithmetic surfaces and algebraization -- Appendix A. Large deviations and Cramér's theorem -- Appendix B. Non-complete discrete valuation rings and continuity of linear forms on prodiscrete modules -- Appendix C. Measures on countable sets and their projective limits -- Appendix D. Exact categories -- Appendix E. Upper bounds on the dimension of spaces of holomorphic sections of line bundles over compact complex manifolds -- Appendix F. John ellipsoids and finite dimensional normed spaces. |
| Record Nr. | UNINA-9910483839003321 |
|
Bost Jean-Benoît
|
||
| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||