Výsledky vyhledávání - "Alessandra BERTAPELLE"

Canonical Witt formal scheme extensions and p-torsion groups

Autor: Alessandra Bertapelle, Nicola Mazzari, Arnab Saha

We study the nth arithmetic jet space of the p-torsion subgroup attached to a smooth commutative formal group scheme. We show that the nth jet space above fits in the middle of a canonical short exact sequence between a power of the formal scheme of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e08c898a997e8b31eb585b10c2a6b479
http://arxiv.org/abs/2207.10382

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Eigenvectors and eigenvalues: a new formula?

Autor: Alessandra Bertapelle, Maurizio Candilera

There has recently been an intense discussion about the (re)discovery of a formula that relates the components of an orthonormal basis of eigenvectors of an Hermitian matrix A of order n to the eigenvalues of A and the eigenvalues of some sub-matrice

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5302a73bc4de90daed764f2bea171de0
http://hdl.handle.net/11577/3337785

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Arithmetic jet spaces

Autor: Alessandra Bertapelle, Emma Previato, Arnab Saha

Publikováno v: Journal of Algebra

We extend Borger's construction of algebraic jet spaces to allow for an arbitrary prolongation sequence, clarify the relation between Borger's and Buium's jet spaces and compare them in the extended sense. As a result, we strengthen a result of Buium

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89df1b23516bd7274fef381c623cf0f5

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On the perfection of schemes

Autor: Alessandra Bertapelle, Cristian D. Gonzalez-Aviles

Publikováno v: Expositiones Mathematicae. 36:197-220

This is a chiefly expository paper on the subject of the title which, in our view, has not received a detailed treatment in the literature which is commensurate with its importance. We expect the results presented here to be useful in a number of con

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db1c087fac5f447633fea03cd7001730
https://doi.org/10.1016/j.exmath.2017.08.001

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Ogus realization of 1-motives

Autor: Fabrizio Andreatta, Alessandra Bertapelle, Luca Barbieri-Viale

Publikováno v: Journal of Algebra. 487:294-316

After introducing the Ogus realization of 1-motives we prove that it is a fully faithful functor. More precisely, following a framework introduced by Ogus, considering an enriched structure on the de Rham realization of 1-motives over a number field,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52a38443678cac61b3e23fbe14ec4e28
https://doi.org/10.1016/j.jalgebra.2017.05.033

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Galois sets of connected components and Weil restriction

Autor: Alessandra Bertapelle, Cristian D. Gonzalez-Aviles

Publikováno v: Mathematische Zeitschrift. 285:607-612

Let $k$ be a field, $A$ a finite $k$-algebra and $X$ a smooth $A$-scheme. We describe the Galois set of connected components of the Weil restriction $\Re_{A/k}(X)$ in terms of the sets of connected components of the geometric fibers of $X$.
Comm

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d609f391199dbefd3c6375b966a1ad4
https://doi.org/10.1007/s00209-016-1723-9

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Greenberg algebras and ramified Witt vectors

Autor: Alessandra Bertapelle, Maurizio Candilera

Let O be a complete discrete valuation ring of mixed characteristic and with finite residue field k. We study a natural morphism between the Greenberg algebra of O and the special fiber of the scheme of ramified Witt vectors over O. It is a universal

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb4a9758f43c009ad02bf5f974c6698e
http://arxiv.org/abs/1805.08049

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Motivic periods and Grothendieck arithmetic invariants

Autor: Alessandra Bertapelle, Luca Barbieri-Viale, Fabrizio Andreatta, Bruno Kahn

We construct a period regulator for motivic cohomology of an algebraic scheme over a subfield of the complex numbers. For the field of algebraic numbers we formulate a period conjecture for motivic cohomology by saying that this period regulator is s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::603168987c39b176270fd81dc4ead486
http://arxiv.org/abs/1805.07121

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On deformations of $1$-motives

Autor: Nicola Mazzari, Alessandra Bertapelle

Publikováno v: Canadian Mathematical Bulletin
Canadian Mathematical Bulletin, In press, pp.1-11. 〈10.4153/CMB-2017-076-2〉
Canadian Mathematical Bulletin, 2019, pp.11-22. ⟨10.4153/CMB-2017-076-2⟩

According to a well-known theorem of Serre and Tate, the infinitesimal deformation theory of an abelian variety in positive characteristic is equivalent to the infinitesimal deformation theory of its Barsotti-Tate group. We extend this result to $1$-

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7bb9a2cf4548248c7ec9d7a463c29935
https://hal.archives-ouvertes.fr/hal-01814268

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On torsors under elliptic curves and Serre's pro-algebraic structures

Autor: Jilong Tong, Alessandra Bertapelle

Publikováno v: Mathematische Zeitschrift
Mathematische Zeitschrift, Springer, 2014, 277 (1), pp.Page 91-147

Let $K$ be a local field with algebraically closed residue field and $X_K$ a torsor under an elliptic curve $J_K$ over $K$. Let $X$ be a proper minimal regular model of $X_K$ over the ring of integers of $K$ and $J$ the identity component of the N\'e

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78f8cf23524d3f93344e80a23a0acc35
http://hdl.handle.net/20.500.12278/114478

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