Preprints:
A. Bertapelle, S. Wang, and H. Zhao : Log p-divisible groups and semi-stable representations , 18 pages (2023)
A. Bertapelle, T. Suzuki: The relatively perfect Greenberg transform and cycle class maps , 42 pages (2020)
A. Bertapelle, C. D. González-Avilés: Groups of components and Weil restriction, Preprint in arXiv (2015). Not submitted.
A. Bertapelle: On torsors under abelian varieties. Results are included in the paper "On torsors under elliptic curves and Serre's pro-algebraic structures" (with J. Tong).

Research papers:

A. Bertapelle, N. Mazzari, A. Saha: Canonical Witt formal scheme extensions and p-torsion groups, Accepted by Ann. Mat. Pura Appl. DOI : 10.1007/s10231-023-01321-2
A. Bertapelle, E. Previato, A. Saha: Arithmetic jet spaces. J. Alg. 623 (2023) 127-153. DOI: 10.1016/j.jalgebra.2023.01.026
A. Bertapelle, M. Candilera: Greenberg algebras and ramified Witt vectors, JTNB, 32 (2020) 901-921. DOI: 10.5802/jtnb.1147
F. Andreatta, L. Barbieri-Viale, A. Bertapelle (with an appendix by B. Kahn): Motivic periods and Grothendieck arithmetic invariants. Adv. Math. 359 (2020). DOI: 10.1016/j.aim.2019.106880
A. Bertapelle, M. Candilera: Eigenvectors and eigenvalues: a new formula? Bollettino dell'Unione Matematica Italiana 13 (2020), 329-333.
A. Bertapelle, N. Mazzari: On deformations of 1-motives. Canadian Mathematical Bulletin 62, Issue 1 (2019) 11-22. DOI: 10.4153/CMB-2017-076-2
A. Bertapelle, C. D. González-Avilés: The Greenberg functor revisited. European Journal of Mathematics, Vol. 4, Issue 4 (2018) 1340-1389. DOI: 10.1007/s40879-017-0210-0.
See also the longer version.
A. Bertapelle, C. D. González-Avilés: On the perfection of schemes. Expos. Math. 36, Issue 2 (2018) 197-220. DOI: 10.1016/j.exmath.2017.08.001
F. Andreatta, L. Barbieri-Viale, A. Bertapelle: Ogus realization of 1-motives. J. of Algebra 487 (2017) 294-316. DOI: 10.1016/j.jalgebra.2017.05.033
A. Bertapelle, C. D. González-Avilés: Galois sets of connected components and Weil restriction, Math. Z. 285 (2017), Issue 1, 607-612. DOI: 10.1007/s00209-016-1723-9
A. Bertapelle, C. D. González-Avilés: On the cohomology of tori over local fields with perfect residue field. Israel Journal of Mathematics 206 (2015) 431-455 . DOI: 10.1007/s11856-014-1146-4
A. Bertapelle: Generalized 1-motivic sheaves. Journal of Algebra 420 (2014) 261-268. DOI: 10.1016/j.jalgebra.2014.07.024
A. Bertapelle, J. Tong: On torsors under elliptic curves and Serre's pro-algebraic structures, Math. Zeitschrift 277, Issue 1 (2014), Page 91-147. DOI: 10.1007/s00209-013-1247-5
A. Bertapelle: Remarks on 1-motivic sheaves, Journal of K-Theory, volume 12, issue 02, (2013) 363-380. doi:10.1017/is013011020jkt247
F. Andreatta, A. Bertapelle: Universal extension crystals of 1-motives and applications, J. of Pure & Applied Algebra 215 (2011) 1919-1944. DOI: https://doi.org/10.1016/j.jpaa.2010.11.004
L. Barbieri Viale, A. Bertapelle: Sharp de Rham realization, Adv. Math. 222 (2009) 1308-1338. DOI: 10.1016/j.aim.2009.06.003
A. Bertapelle: Deligne's duality for de Rham realizations of 1-motives. Math. Nachr. 282, (2009) 1637-1655. DOI: 10.1002/mana.200610816
A. Bertapelle, M. Candilera, V. Cristante: Monodromy of logarithmic Barsotti-Tate groups attached to 1-motives, Journal für die reine und angewandte Mathematik 573 (2004), 211-234.
A. Bertapelle: Local flat duality of abelian varieties, Manuscripta math. 111 (2003) 2, 141-161.
A. Bertapelle: On perfectness of Grothendieck's pairing for the l-parts of component groups, Journal für die reine und angewandte Mathematik, 538 (2001), 223-236.
A. Bertapelle, S. Bosch: Weil restriction and Grothendieck's duality conjecture, J. Alg. Geometry 9 (2000), 155-164.
A. Bertapelle: Formal Néron models and Weil restriction, Math. Ann. 316 (2000), 437-463.


Books:
S. Bosch: Algebra (traduzione a cura di A. Bertapelle) Unitext Springer (2003)
M. Candilera, A. Bertapelle: Algebra lineare e primi elementi di Geometria. McGraw-Hill (2011)
Other products:
A. Bertapelle, M. Candilera: Disegnando somme esponenziali. Nuova Secondaria n. 5 2019 - Anno XXXVI - ISSN 1828 - 4582.

Main Research Interests:

1-motives
Abelian varieties over local fields
Rigid Geometry
 

Last update: 24/03/2023