## 5 Citations

### The supermoduli space of genus zero SUSY curves with Ramond punctures

- Mathematics
- 2019

We give an explicit construction of the supermoduli space $\mathfrak{M}_{0, n_R}$ of super Riemann surfaces (SUSY curves) of genus zero with $n_R \ge 4$ Ramond punctures as a quotient Deligne-Mumford…

### Geometry of Dual Pairs of Complex Supercurves

- Mathematics
- 2011

Supercurves are a generalization to supergeometry of Riemann surfaces or algebraic curves. I review the definitions, examples, key results, and open problems in this area.

### On the Geometry of Super Riemann Surfaces

- Mathematics
- 2011

Super Riemann surfaces-1|1 complex supermanifolds with a SUSY-1 structure- 4 furnish a rich field of study in algebraic supergeometry.

### The supermoduli space of genus zero super Riemann surfaces with Ramond punctures

- MathematicsJournal of Geometry and Physics
- 2022

### Notes on super Riemann surfaces and their moduli

- MathematicsPure and Applied Mathematics Quarterly
- 2019

These are notes on the theory of super Riemann surfaces and their moduli spaces, aiming to collect results that are useful for a better understanding of superstring perturbation theory in the RNS…

## References

SHOWING 1-10 OF 22 REFERENCES

### Line bundles on super Riemann surfaces

- Mathematics
- 1988

We give the elements of a theory of line bundles, their classification, and their connections on super Riemann surfaces. There are several salient departures from the classical case. For example, the…

### On Decomposing N=2 Line Bundles as Tensor Products of N=1 Line Bundles

- Mathematics
- 2002

We obtain the existence of a cohomological obstruction to expressing N=2 line bundles as tensor products of N=1 bundles. The motivation behind this paper is an attempt at understanding the N=2 super…

### Supermoduli spaces

- Mathematics, Physics
- 1990

The connection between different supermoduli spaces is studied. It is shown that the coincidence of the moduli space of (1/1) dimensional complex manifolds andN=2 superconformal moduli space is…

### Geometry of superconformal manifolds

- Physics, Mathematics
- 1988

The main facts about complex curves are generalized to superconformal manifolds. The results thus obtained are relevant to the fermion string theory and, in particular, they are useful for…

### Algebraic D-modules

- Mathematics
- 1987

Presented here are recent developments in the algebraic theory of D-modules. The book contains an exposition of the basic notions and operations of D-modules, of special features of coherent,…

### Supercurves, their Jacobians, and super KP equations

- Mathematics
- 1996

We study the geometry and cohomology of algebraic super curves, using a new contour integral for holomorphic differentials. For a class of super curves (``generic SKP curves'') we define a period…

### Duality between D(X) and with its application to picard sheaves

- MathematicsNagoya Mathematical Journal
- 1981

As is well known, for a real vector space V, the Fourier transformation gives an isometry between L 2(V) and L 2(V v), where V v is the dual vector space of V and < , >: V×V v → R is the canonical…

### Analytic D-Modules and Applications

- Mathematics
- 1993

Series Editor's Preface. Preface. Introduction. I: The Sheaf x and its Modules. II: Operations on D-Modules. III: Holonomic D-Modules. IV: Deligne Modules. V: Regular Holonomic D-Modules. VI:…

### Notes on String Theory and Two Dimensional Conformal Field Theory

- Physics
- 1986

These lecture notes cover topics in the covariant first quanti1ation of supersymmetric string: super Riemann surlaces, superconformal quantum field theory in two dimensions, the superconformal world…

### Super Riemann surfaces: Uniformization and Teichmüller theory

- Mathematics
- 1988

Teichmüller theory for super Riemann surfaces is rigorously developed using the supermanifold theory of Rogers. In the case of trivial topology in the soul directions, relevant for superstring…