Ir al conteni
d
o
B
uscar
R
evistas
T
esis
Libr
o
antiguo
Co
n
gresos
A
u
tores
Ayuda
Cambiar idioma
Idioma
català
Deutsch
English
español
euskara
français
galego
italiano
português
română
Cambiar
On the Tate and Mumford–Tate conjectures in codimension 11 for varieties with h2,0=1
Autores:
Ben Moonen
Localización:
Duke Mathematical Journal
,
ISSN
0012-7094,
Vol. 166, Nº. 4, 2017
,
págs.
739-799
Idioma:
inglés
DOI
:
10.1215/00127094-3774386
Texto completo no disponible
(Saber más ...)
Referencias bibliográficas
Y. André, Mumford-Tate groups of mixed Hodge structures and the theorem of the fixed part, Compos. Math. 82 (1992), 1–24.
Y. André, On the Shafarevich and Tate conjectures for hyper-Kähler varieties, Math. Ann. 305 (1996), 205–248.
Y. André, Pour une théorie inconditionelle des motifs, Publ. Math. Inst. Hautes Études Sci. 83 (1996), 5–49.
Y. André, Une introduction aux motifs (motifs purs, motifs mixtes, périodes), Panor. Synthèses 17, Soc. Math. France, Paris, 2004.
A. Borel, Linear Algebraic Groups, 2nd ed., Grad. Texts in Math. 126, Springer, New York, 1991.
A. Borel and J. Tits, Groupes réductifs, Publ. Math. Inst. Hautes Études Sci. 27 (1965), 55–152.
G. Borrelli, Surfaces with $p_g=q=1$, $K^2=8$ and nonbirational bicanonical map, Manuscripta Math. 130 (2009), 523–531.
F. Catanese, The moduli and the global period mapping of surfaces with $K^2=p_g=1$: A counterexample to the global Torelli problem,...
F. Catanese, On the period map of surfaces with $K^2=\chi=2$ in Classification of Algebraic and Analytic Manifolds (Katata, 1982),...
F. Catanese, On a class of surfaces of general type, in Algebraic Surfaces (Cortona, 1977), Springer, Heidelberg, 2010, 267–284.
F. Catanese and C. Ciliberto, Surfaces with $p_g=q=1$ in Problems in the Theory of Surfaces and their Classification (Cortona, 1988),...
F. Catanese and C. Ciliberto, Symmetric products of elliptic curves and surfaces of general type with $p_g=q=1$, J. Algebraic Geom....
F. Catanese and O. Debarre, Surfaces with $K^2=2$, $p_g=1$, $q=0$, J. Reine Angew. Math. 395 (1989), 1–55.
F. Catanese and R. Pignatelli, Fibrations of low genus, I, Ann. Sci. École Norm. Supér. (4) 39 (2006), 1011–1049.
P. Deligne, La conjecture de Weil pour les surfaces K3, Invent. Math. 15 (1972), 206–226.
P. Deligne, Cohomologie étale, Séminaire de Géométrie Algébrique du Bois-Marie (SGA $4\frac{1}{2}$), Lecture Notes in Math. 569, Springer,...
P. Deligne, Hodge cycles on abelian varieties, in Hodge Cycles, Motives, and Shimura Varieties, Lecture Notes in Math. 900, Springer, Berlin,...
G. Faltings, Complements to Mordell, in Rational Points, Aspects Math. E6, Friedr. Vieweg, Braunschweig, 1984.
D. Ferrand, Un foncteur norme, Bull. Soc. Math. France 126 (1998), 1–49.
G. Harder, R. Langlands, and M. Rapoport, Algebraische Zyklen auf Hilbert-Blumenthal-Flächen, J. Reine Angew. Math. 366 (1986), 53–120.
C. Klingenberg, Die Tate-Vermutungen für Hilbert-Blumenthal-Flächen, Invent. Math. 89 (1987), 291–317.
B. Kostant, A characterization of the classical groups, Duke Math. J. 25 (1958), 107–123.
V. Kumar Murty and D. Ramakrishnan, Period relations and the Tate conjecture for Hilbert modular surfaces, Invent. Math. 89 (1987), 319–345.
D. Lombardo, On the $\ell$-adic Galois representations attached to nonsimple abelian varieties, Ann. Inst. Fourier (Grenoble) 66 (2016), 1217–1245.
C. Lyons, The Tate conjecture for a family of surfaces of general type with $p_g=q=1$ and $K^2=3$, Amer. J. Math. 137 (2015),...
B. Moonen and Y. Zarhin, Hodge classes and Tate classes on simple abelian fourfolds, Duke Math. J. 77 (1995), 553–581.
D. Morrison, On the moduli of Todorov surfaces, in Algebraic Geometry and Commutative Algebra, Vol. I, Kinokuniya, Tokyo, 1988, 313–355.
M. Murakami, Infinitesimal Torelli theorem for surfaces of general type with certain invariants, Manuscripta Math. 118 (2005), 151–160.
R. Pignatelli, Some (big) irreducible components of the moduli space of minimal surfaces of general type with $p_g=q=1$ and $K^2=4$,...
R. Pink, $\ell$-adic algebraic monodromy groups, cocharacters, and the Mumford-Tate conjecture, J. Reine Angew. Math. 495 (1998), 187–237.
F. Polizzi, On surfaces of general type with $p_g=q=1$, $K^2=3$, Collect. Math. 56 (2005), 181–234.
F. Polizzi, Surfaces of general type with $p_g=q=1$, $K^2=8$ and bicanonical map of degree 2, Trans. Amer. Math. Soc. 358 (2006),...
F. Polizzi, Standard isotrivial fibrations with $p_g=q=1$, J. Algebra 321 (2009), 1600–1631.
K. Ribet, Galois action on division points of Abelian varieties with real multiplications, Amer. J. Math. 98 (1976), 751–804.
C. Riem, The corestriction of algebraic structures, Invent. Math. 11 (1970), 73–98.
J.-P. Serre, “Lettres à Ken Ribet du 1/1/1981 et du 29/1/1981” in Oeuvres: Collected Papers, IV, 1985–1998, Springer, Berlin, 2000.
J.-P. Serre, Lectures on the Mordell-Weil Theorem, 3rd ed., Aspects Math. E15, Friedr. Vieweg, Braunschweig, 1997.
S. Tankeev, Surfaces of K3 type over number fields and the Mumford-Tate conjecture (in Russian), Izv. Akad. Nauk SSSR Ser. Mat. 54 (1990),...
S. Tankeev, Surfaces of K3 type over number fields and the Mumford-Tate conjecture, II (in Russian), Izv. Ross. Akad. Nauk Ser. Mat. 59 (1995),...
A. Todorov, Surfaces of general type with $p_g=1$ and $(K,K)=1$, I, Ann. Sci. École Norm. Supér. (4) 13 (1980), 1–21.
A. Todorov, A construction of surfaces with $p_g=1$, $q=0$ and $2 \le (K^2)\le 8$: Counterexamples of the global Torelli theorem,...
B. van Geemen, Half twists of Hodge structures of CM-type, J. Math. Soc. Japan 53 (2001), 813–833.
C. Voisin, Hodge loci, in Handbook of Moduli, Vol. III, Adv. Lect. Math. 26, Int. Press, Somerville, Mass., 2013, 507–546.
Y. Zarhin, Hodge groups of K3 surfaces, J. Reine Angew. Math. 341 (1983), 193–220.
Acceso de usuarios registrados
Identificarse
¿Olvidó su contraseña?
¿Es nuevo?
Regístrese
Ventajas de registrarse
Mi Documat
S
elección
Opciones de artículo
Seleccionado
Opciones de compartir
Opciones de entorno
Sugerencia / Errata
©
2008-2026
Fundación Dialnet
· Todos los derechos reservados
Accesibilidad
Aviso Legal
Coordinado por:
I
nicio
B
uscar
R
evistas
T
esis
Libr
o
antiguo
A
u
tores
Ayuda
R
e
gistrarse
¿En qué podemos ayudarle?
×
Buscar en la ayuda
Buscar