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pro vyhledávání: '"Jean-Benoît Bost"'
Autor:
Jean-Benoît Bost
Publikováno v:
Astérisque. 422:1-59
Autor:
Jean-Benoît Bost
Publikováno v:
Lecture Notes in Mathematics ISBN: 9783030575588
These are the notes of lectures delivered at Grenoble’s summer school on Arakelov Geometry and Diophantine Applications, in June 2017. They constitute an introduction to the study of Euclidean lattices and of their invariants defined in terms of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b345b6ef8f8bc57a3d310e783fb3ac57
https://doi.org/10.1007/978-3-030-57559-5_5
https://doi.org/10.1007/978-3-030-57559-5_5
Autor:
Jean-Benoît Bost
Publikováno v:
Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves ISBN: 9783030443283
We still denote by K a number field, by OK its ring of integers, and by π the morphism of schemes form SpecOK to Spec Z.
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https://explore.openaire.eu/search/publication?articleId=doi_________::2d7b709bc702ec0e61c14b05fe0a0bea
https://doi.org/10.1007/978-3-030-44329-0_7
https://doi.org/10.1007/978-3-030-44329-0_7
Autor:
Jean-Benoît Bost
Publikováno v:
Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves ISBN: 9783030443283
In this chapter, we investigate the properties of short exact sequences and admissible short exact sequences of pro- and ind-Hermitian vector bundles.
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https://explore.openaire.eu/search/publication?articleId=doi_________::6aaa9c4c667736867857c4cf9ea3ad13
https://doi.org/10.1007/978-3-030-44329-0_8
https://doi.org/10.1007/978-3-030-44329-0_8
Autor:
Jean-Benoît Bost
Publikováno v:
Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves ISBN: 9783030443283
In this chapter, we introduce several categories of infinite-dimensional Hermitian vector bundles over an arithmetic curve SpecOK defined by the ring of integers OK of a number field K.
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https://explore.openaire.eu/search/publication?articleId=doi_________::d9d69c94fa660df4a62305b853d3f9c8
https://doi.org/10.1007/978-3-030-44329-0_5
https://doi.org/10.1007/978-3-030-44329-0_5
Autor:
Jean-Benoît Bost
Publikováno v:
Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves ISBN: 9783030443283
The last paragraphs of this chapter are again dedicated to concrete examples involving these invariants.
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https://explore.openaire.eu/search/publication?articleId=doi_________::dbd519ddd45b46aa25cc82319af2215a
https://doi.org/10.1007/978-3-030-44329-0_6
https://doi.org/10.1007/978-3-030-44329-0_6
Autor:
Jean-Benoît Bost
Publikováno v:
Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves ISBN: 9783030443283
In this chapter, we denote by A a Dedekind ring (in the sense of Bourbaki, [21, Vii.2.1]; in other words, A is either a field or a Noetherian integrally closed domain of dimension 1), and we introduce the categories of (topological) modules CPA and C
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https://explore.openaire.eu/search/publication?articleId=doi_________::8369247df057bb5300c2f057dfcc70a6
https://doi.org/10.1007/978-3-030-44329-0_4
https://doi.org/10.1007/978-3-030-44329-0_4
Autor:
Jean-Benoît Bost
Publikováno v:
Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves ISBN: 9783030443283
In this chapter, we discuss various results concerning infinite-rank vector bundles over C, which constitute “geometric” counterparts of the main results of this monograph devoted to infinite-rank vector bundles over the “compactified arithmeti
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https://explore.openaire.eu/search/publication?articleId=doi_________::31d4d5d0bdc095d0f4a2d0645a6ba477
https://doi.org/10.1007/978-3-030-44329-0_9
https://doi.org/10.1007/978-3-030-44329-0_9
Autor:
Jean-Benoît Bost
Publikováno v:
Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves ISBN: 9783030443283
This chapter is devoted to the definitions and to some basic properties of the θ- invariants of (finite-rank) Hermitian vector bundles over arithmetic curves. Their extensions to infinite-dimensional Hermitian vector bundles established in the latte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e39067eb7ffd35544996c951a2bf09a3
https://doi.org/10.1007/978-3-030-44329-0_2
https://doi.org/10.1007/978-3-030-44329-0_2
Autor:
Jean-Benoît Bost
Publikováno v:
Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves ISBN: 9783030443283
In this chapter, we gather some basic results concerning Hermitian vector bundles over arithmetic curves, namely affine schemes defined by rings of integers of number fields.
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https://explore.openaire.eu/search/publication?articleId=doi_________::29bb67318382195eebcde6dd89edb9a7
https://doi.org/10.1007/978-3-030-44329-0_1
https://doi.org/10.1007/978-3-030-44329-0_1