Cristiana Bertolin's Homepage
Dip. di Matematica "Tullio Levi-Civita"
Università di Padova
Via Trieste 63
I - 35 121 Padova
Tel: 00 39 49 827 13 90
Email: cristiana.bertolin@unipd.it
cristiana.bertolin@googlemail.com
Publications :
G-fonctions et cohomologie des hypersurfaces singulières - Bull. Austral. Math. Soc. 55 (1997), no. 3, pp. 353--383.
G-fonctions et cohomologie des hypersurfaces singulières II - Bull. Austral. Math. Soc. 58 (1998), no. 2, pp. 189--198.
The Mumford-Tate group of 1-motives - Ann. Inst. Fourier (Grenoble) 52 (2002), no. 4, pp. 1041--1059.
Périodes de 1-motifs et transcendence - J. Number Theory 97 (2002), no. 2, pp. 204--221.
Le radical unipotent du groupe de Galois motivique d'un 1-motif - Math. Ann. 327 (2003), no. 3, pp. 585--607.
Motivic Galois groups of 1-motives: a survey - Math. Institut, Georg-August-Uni. Göttingen: Seminars Summer Term 2004, Universitätsdrucke Göttingen (2004) pp. 83--89.
Biextensions and 1-motives - C. R. Math. Acad. Sci. R. Can. 27 (2005), no. 3, pp. 65--71.
Motivic Galois theory for 1-motives - Ann. Sci. Math. Québec 32 (2008), no. 2, pp. 105--124.
Extensions and biextensions of locally constant group schemes, tori and abelian schemes - Math. Z. 261 (2009), no. 4, pp. 845--868.
(with Carlo Mazza) Biextensions of 1-motives in Voevodsky's category of motives - Int. Math. Res. Not. IMRN 2009 (2009), no. 19, pp. 3747--3757.
Multilinear morphisms between 1-motives - J. Reine Angew. Math. 637 (2009), pp. 141--174.
Extensions of Picard stacks and their homological interpretation - J. Algebra 331 (2011), no. 1, pp.28--45.
Homological interpretation of extensions and biextensions of 1-motives - J. Number Theory 132 (2012), no. 10, pp.2103--2131.
Biextensions of Picard stacks and their homological interpretation - Adv. Math. 233 (2013), no. 1, pp. 1--39.
(with A. Tatar) Extensions of Picard 2-stacks and the cohomology groups Exti of length 3 complexes - Ann. Mat. Pura Appl. 193 (2014), no. 1, pp. 291--315.
(with A. Tatar) Higher dimensional study of extensions via torsors - Ann. Mat. Pura Appl. 197 (2018), no. 2, pp. 433--468.
(with S. Brochard) Morphisms of 1-motives defined by line bundles - Int. Math. Res. Not. IMRN 2019 (2019), no.5, pp. 1568--1600.
(with F. Galluzzi) A note on divisorial correspondences of extensions of abelian schemes by tori - Comm. Algebra 48 (2020), no.7, pp. 3031--3034.
(with an appendix by M. Waldschmidt and a letter of Y. André) Third kind elliptic integrals and 1-motives - J. Pure Appl. Algebra 224 (2020), no.10, 106396, 28 pp.
(with F. Galluzzi) Brauer groups of 1-motives - J. Pure Appl. Algebra 225 (2021), no.11, 106754 , 22 pp.
(with P. Philippon, B. Saha, E. Saha) Semi-abelian analogues of Schanuel's conjecture and applications - J. Algebra 596 (2022), pp. 250--288.
(with P. Philippon) Mumford-Tate groups of 1-motives and Weil pairing - J. Pure Appl. Algebra 228 (2024), no.10,107702 , 37 pp.
Works in progress:
Extensions of 1-motives, submitted
(with F. Galluzzi) The group law of Picard stacks via matrices, submitted
(with M. Waldschmidt) Variations on Schanuel conjecture for elliptic and quasi-elliptic functions
The geometrical origin of conjectures à la Schanuel
Stove
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Autor: Cristiana Bertolin
Last modified: April 2024