Theta invariants of Euclidean lattic...
Bost, Jean-Benoit.

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  • Theta invariants of Euclidean lattices and infinite-dimensional Hermitian vector bundles over arithmetic curves
  • 紀錄類型: 書目-電子資源 : Monograph/item
    正題名/作者: Theta invariants of Euclidean lattices and infinite-dimensional Hermitian vector bundles over arithmetic curves/ by Jean-Benoit Bost.
    作者: Bost, Jean-Benoit.
    出版者: Cham :Springer International Publishing : : 2020.,
    面頁冊數: xxxix, 365 p. :ill., digital ;24 cm.
    內容註: 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 Cramer'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.
    Contained By: Springer Nature eBook
    標題: Vector bundles. -
    電子資源: https://doi.org/10.1007/978-3-030-44329-0
    ISBN: 9783030443290
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