Titlebook: Topological Field Theory, Primitive Forms and Related Topics; Masaki Kashiwara,Atsushi Matsuo,Ikuo Satake Book 1998 Springer Science+Busin

exorbitant

变态

A Mirror Theorem for Toric Complete Intersections,We prove a generalized mirror conjecture for non-negative complete intersections in symplectic toric manifolds. Namely, we express solutions of the PDE system describing quantum cohomology of such a manifold in terms of suitable hypergeometric functions.

和蔼

Precious Siegel Modular Forms of Genus Two,We give a review of the recent results concerning Siegel modular forms with respect to the paramodular groups of genus 2 and their applications to Algebraic Geometry and Physics. Some facts mentioned below have not been published before.

folliculitis

,GKZ Systems, Gröbner Fans, and Moduli Spaces of Calabi-Yau Hypersurfaces,We present a detailed analysis of the GKZ (Gel’fand, Kapranov and Zelevinski) hypergeometric systems in the context of mirror symmetry of Calabi-Yau hypersurfaces in toric varieties. As an application, we will derive a concise formula for the prepotential about large complex structure limits.

conference

Ordeal

K3 Surfaces, Igusa Cusp Forms, and String Theory,It has recently become apparent that the elliptic genera of K3 surfaces (and their symmetric products) are intimately related to the Igusa cusp form of weight ten. In this contribution, I survey this connection with an emphasis on string theoretic viewpoints.

Coordinate

美食家

粗鄙的人

Abnormal

Flat Structure and the Prepotential for the Elliptic Root System of Type ,4(1,1), of an isolated singularity. The prepotential . is defined as a generating function of the structure constants of the function ring of the critical set of . → . Also the prepotential . satisfies WDVV equations coming from the associativity of the function ring of the critical set (see also Matsuo[M]).