Generic strange duality for K3 surfaces
نویسندگان
چکیده
منابع مشابه
On the Strange Duality Conjecture for Elliptic K 3 Surfaces
We consider moduli spaces of semistable sheaves on an elliptically fibered K3 surface, so that the first Chern class of the sheaves is a numerical section. For pairs of complementary such moduli spaces subject to numerical restrictions, we establish the strange duality isomorphism on sections of theta line bundles.
متن کاملIntroduction to the Strange Duality Conjecture for Surfaces
The goal of this document is to give a non-technical and imprecise introduction to the strange duality conjecture for surfaces. On the way, we will spend time on Chern classes and moduli of coherent sheaves. Throughout, S will be a smooth projective surface over C and KS will denote a canonical divisor on S. All of the general concepts, such as Chern classes, make sense for varieties of other d...
متن کاملStrange duality and polar duality
We describe a relation between Arnold’s strange duality and a polar duality between the Newton polytopes which is mostly due to M. Kobayashi. We show that this relation continues to hold for the extension of Arnold’s strange duality found by C. T. C. Wall and the author. By a method of Ehlers-Varchenko, the characteristic polynomial of the monodromy of a hypersurface singularity can be computed...
متن کاملK3 K3 K3 Surfaces with Involution and Analytic Torsion
In a series of works [Bo3-5], Borcherds developed a theory of modular forms over domains of type IV which admits an infinite product expansion. Such modular forms are said to be Borcherds's product in this paper. Among all Borcherds's products, Borcherds's Φ-function ([Bo4]) has an interesting geometric background; It is a modular form on the moduli space of Enriques surfaces characterizing the...
متن کاملNoncommutative K3 Surfaces
We consider deformations of a toroidal orbifold T 4/Z2 and an orbifold of quartic in CP . In the T 4/Z2 case, we construct a family of noncommutative K3 surfaces obtained via both complex and noncommutative deformations. We do this following the line of algebraic deformation done by Berenstein and Leigh for the Calabi-Yau threefold. We obtain 18 as the dimension of the moduli space both in the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2013
ISSN: 0012-7094
DOI: 10.1215/00127094-2208643