منابع مشابه
On Kummer 3-folds
We investigate a generalization of Kummer construction, as introduced in [AW08]. The aim of this work is to classify 3-dimensional Kummer varieties by computing their Poincaré polynomials.
متن کاملIntermediate Jacobian and Some Arithmetic Properties of Kummer-surface-type CY 3-folds
In this article, we examine the arithmetic aspect of the Kummer-surface-type CY 3-folds T̂/G, characterized by the crepant resolution of 3-torus-orbifold T/G with only isolated singularities. Up to isomorphisms, there are only two such space T̂/G with |G| = 3, 7, and both T carrying the structure of triple-product structure of a CM elliptic curve. The (Griffiths) intermediate Jacobians of these T̂...
متن کاملUpdate on 3-folds
The familiar division of compact Riemann surfaces into 3 cases g = 0, g = 1 and g ≥ 2 corresponds to the well known trichotomy of spherical, Euclidean and hyperbolic non-Euclidean plane geometry. Classification aims to treat all projective algebraic varieties in terms of this trichotomy; the model is Castelnuovo and Enriques’ treatment of surfaces around 1900 (reworked by Kodaira in the 1960s)....
متن کاملSmash-nilpotent cycles on abelian 3-folds
We show that homologically trivial algebraic cycles on a 3-dimensional abelian variety are smash-nilpotent.
متن کاملDescendents for stable pairs on 3-folds
We survey here the construction and the basic properties of descendent invariants in the theory of stable pairs on nonsingular projective 3-folds. The main topics covered are the rationality of the generating series, the functional equation, the Gromov-Witten/Pairs correspondence for descendents, the Virasoro constraints, and the connection to the virtual fundamental class of the stable pairs m...
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ژورنال
عنوان ژورنال: Revista Matemática Complutense
سال: 2010
ISSN: 1139-1138,1988-2807
DOI: 10.1007/s13163-010-0049-0