Modular invariance and compactification of the moduli space
نویسندگان
چکیده
منابع مشابه
Modular Compactification of Moduli of K3 Surfaces of Degree 2
This paper is concerned with compactifications of the moduli spaces F2d of polarized K3 surfaces (S,L), L = 2d, and more narrowly with the case 2d = 2. It is well known that F2d is a quasiprojective variety of dimension 19 and that over C it can be written as a quotient D/G of a symmetric Hermitian domain of type IV by a discrete arithmetic group. There are several approaches to compactifying F...
متن کاملCompactification of the moduli space of ρ vortices
In this paper we prove the Uhlenbeck compactness of the moduli space of ρ-vortices introduced in [Ban], for a kähler surface.
متن کاملCompactification of the Moduli Space of Abelian Varieties
1. There are curves called stable curves of Deligne-Mumford. We know first smooth curves, then comes stable curves, relatively simple curves with mild singularities and finite automorphism. 2. The moduli Mg of stable curves of genus g, it is now known to be a projective scheme. 3. The moduli Mg of smooth curves of genus g is not compact, only quasi-projective. It is compactified as the moduli M...
متن کاملConnecting p-gonal loci in the compactification of moduli space
Consider the moduli space M g of Riemann surfaces of genus g ≥ 2 and its Deligne-Mumford compactification M g. We are interested in the branch locus B g for g > 2, i.e., the subset of M g consisting of surfaces with automorphisms. It is well-known that the set of hyperelliptic surfaces (the hyperelliptic locus) is connected in M g but the set of (cyclic) trigonal surfaces is not. By contrast, t...
متن کاملInstanton Moduli and Compactification
1.2. Primer on Connections. Recall from Peng’s talk that a connection on P → X can be thought of in three ways: (1) As a field of horizontal subspaces: TpP = HpP⊕VpP , where V P = ker (π∗). (Note that Vp ∼= g, and Hp ∼= Tπ(p)X). (2) As a g-valued 1-form A ∈ ΩX (g) which is invariant w.r.t. the induced G-action on ΩX (g). (3) Given a representation of G on W , as a vector bundle connection on th...
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: Physics Letters B
سال: 1986
ISSN: 0370-2693
DOI: 10.1016/0370-2693(86)90326-6