Titlebook: Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds; Radu Laza,Matthias Schütt,Noriko Yui Book 2013 Springer Science+Business

debris

Explicit Algebraic Coverings of a Pointed TorusThis note contains an application of the algebraic study by Schütt and Shioda of the elliptic modular surface attached to the commutator subgroup of the modular group. This is used here to provide algebraic descriptions of certain coverings of a .-invariant 0 elliptic curve, unramified except over precisely one point.

CRATE

脱离

Numerical Trivial Automorphisms of Enriques Surfaces in Arbitrary CharacteristicWe extend to arbitrary characteristic some known results on automorphisms of complex Enriques surfaces that act identically on the cohomology or the cohomology modulo torsion.

迅速飞过

Fourier–Mukai Partners and Polarised , SurfacesThe purpose of this note is twofold. We first review the theory of Fourier–Mukai partners together with the relevant part of Nikulin’s theory of lattice embeddings via discriminants. Then we consider Fourier–Mukai partners of . surfaces in the presence of polarisations, in which case we prove a counting formula for the number of partners.

低三下四之人

vertebrate

Expert Oracle Database 10g Administrationeral overview, we begin with some rudimentary aspects of Hodge theory and algebraic cycles. We then introduce Deligne cohomology, as well as the generalized higher cycles due to Bloch that are connected to higher .-theory, and associated regulators. Finally, we specialize to the Calabi–Yau situation

Muffle

上下连贯

cacophony

Expert Oracle Database 11g Administration. For this we deduce the Picard–Fuchs equation from the GKZ system. As consequences of our work and facts from the literature, we show a relation between the Picard–Fuchs equation, the Poincaré series and the monodromy in the space of period integrals.

EWE