@article{RSMUP_2012__127__17_0, author = {Seveso, Marco Adamo}, title = {The {Arithmetic} {Theory} of {Local} {Constants} for abelian {Varieties}}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {17--40}, publisher = {Seminario Matematico of the University of Padua}, volume = {127}, year = {2012}, mrnumber = {2977997}, zbl = {1257.14032}, language = {en}, url = {http://www.numdam.org/item/RSMUP_2012__127__17_0/} }
TY - JOUR AU - Seveso, Marco Adamo TI - The Arithmetic Theory of Local Constants for abelian Varieties JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2012 SP - 17 EP - 40 VL - 127 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_2012__127__17_0/ LA - en ID - RSMUP_2012__127__17_0 ER -
%0 Journal Article %A Seveso, Marco Adamo %T The Arithmetic Theory of Local Constants for abelian Varieties %J Rendiconti del Seminario Matematico della Università di Padova %D 2012 %P 17-40 %V 127 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_2012__127__17_0/ %G en %F RSMUP_2012__127__17_0
Seveso, Marco Adamo. The Arithmetic Theory of Local Constants for abelian Varieties. Rendiconti del Seminario Matematico della Università di Padova, Tome 127 (2012), pp. 17-40. http://www.numdam.org/item/RSMUP_2012__127__17_0/
[1] Geometry of Hilbert modular varieties over totally ramified primes, Internat. Math. Res. Notices, 33 (2003), pp. 1785-1835. | MR | Zbl
- ,[2] L-functions and Tamagawa numbers of motives, in: The Grothendieck Festschrift, Vol. I, Prog. in Math. 86, Birkhauser, Boston (1990), P. Cartier, et al., eds., pp. 333-400. | MR | Zbl
- ,[3] Singularités des espaces de modules de Hilbert, en les caractérisque divisant le discriminant, Compos. Math., 90, No. 1 (1994), pp. 59-79. | Numdam | MR | Zbl
- ,[4] A generalisation of the Cassels-Tate pairing, J. Reine Angew. Math., 412 (1990), pp. 113-127. | MR | Zbl
,[5] Abelian varieties. Manuscript available at http://staff.science.uva.nl/~bmoonen/boek/BookAV.html.
,[6] On the local divisibility of Heegner points. Lang Memorial Volume.
- ,[7] Finding large Selmer rank via an arithmetic theory of local constants, Ann. of Math. (2), 166, No. 2 (2007), pp. 579-612. | MR | Zbl
- ,[8] Twisting commutative algebraic groups, J. Algebra, 314, No. 1 (2007), pp. 419-438. | MR | Zbl
- - ,[9] Etale cohomology, Princeton University Press (1980). | MR | Zbl
,[10] Abelian varieties, Oxford University Press (1970). | MR | Zbl
,[11] Selmer complexes, Astérisque, 310 (2006). | Numdam | MR | Zbl
,[12] Compactifications de l'Espace de Modules de Hilbert-Blumenthal, Compos. Math., 36 (1978), pp. 255-335. | Numdam | MR | Zbl
,[13] Stark-Heegner points and Selmer groups of abelian varieties, PhD Thesis, University of Milan, Federigo Enriques Department of Mathematics.
,[14] Congruences and rationality of Stark-Heegner points, to appear in the Journal of Number Theory, doi: 10.1016/j.jnt.2011.10.001. | MR
,[15] Introduction to étale cohomology, Springer-Verlag (1994). | MR | Zbl
,