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

heirloom

蛤肉

Gratulate

,, of Elliptically Fibered ,3 Surfaces: A Tale of Two Cycles and the evaluation of the regulator map are based on the elliptic fibration structure on the family of .3 surfaces. The first computation involves a Tauberian lemma, while the second produces a “Maass form with two poles”.

不怕任性

Invariants of Regular Models of the Product of Two Elliptic Curves at a Place of Multiplicative Redu a place of multiplicative reduction are computed. The variation of the isomorphism class of the closed fiber with the variation of the elliptic curves is discussed. The higher direct images of the sheaf, ., are computed when . is prime to the residue characteristic.

panorama

Transcendental Methods in the Study of Algebraic Cycles with a Special Emphasis on Calabi–Yau Varieteral 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

Noisome

BULLY

Universal Kummer Families Over Shimura Curvesith five specified singular fibers, of which four are fixed and one gives the parameter; the second classifies .3 surfaces with a specified isogeny to an abelian surface with quaternionic multiplication.

規(guī)范就好

Picard–Fuchs Equations of Special One-Parameter Families of Invertible Polynomials. 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.

entice

A Structure Theorem for Fibrations on Delsarte Surfaces cyclic base change, the fibration is the pullback of a fibration with three singular fibers and that this second-base change is completely ramified at two points where the fiber is singular. As a corollary we show that every Delsarte fibration of genus 1 with nonconstant .-invariant occurs as the b