1 citations · 1 across the 5 of their papers we have counts for
5 papers
Hodge structures not coming from geometry
Tobias Kreutz
Hodge theory associates to a smooth projective variety over a piece of linear algebra information, called a -Hodge structure. Conversely, it is a natural q…
De Rham-Betti classes with coefficients
Tobias Kreutz, Mingmin Shen, Charles Vial
Let and be algebraic extensions of the rational numbers inside the field of complex numbers. An -de Rham-Betti class on a smooth projective variety over is a cla…
Rapoport-Zink uniformization for the moduli space of polarized K3 surfaces
Tobias Kreutz
We compute the image of the -adic period map for polarized K3 surfaces with supersingular reduction. This gives rise to a Rapoport-Zink type uniformization of their moduli space…
-Galois special subvarieties and the Mumford-Tate conjecture
Tobias Kreutz
We introduce -Galois special subvarieties as an -adic analog of the Hodge-theoretic notion of a special subvariety. The Mumford-Tate conjecture predicts that both notio…
Absolutely special subvarieties and absolute Hodge cycles
Tobias Kreutz
We introduce the notion of dR-absolutely special subvarieties in motivic variations of Hodge structure as special subvarieties cut out by (de Rham-)absolute Hodge cycles and conjec…