@article{Maxwell2022TheSM,
title={The super Mumford form and Sato Grassmannian},
author={Katherine A Maxwell},
journal={Journal of Geometry and Physics},
year={2022}
}

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… Expand

A supersymmetric generalization of the Krichever map is proposed. This map assigns injectively a point of an infinite dimensional super Grassmannian to a set of geometric data consisting of an… Expand

Supersymmetric curves are the analogue of Riemann surfaces in super geometry. We establish some foundational results about complex Deligne-Mumford superstacks, and we then prove that the moduli… Expand

The supermeasure whose integral is the genus $g$ vacuum amplitude of superstring theory is potentially singular on the locus in the moduli space of supercurves where the corresponding even… Expand

A set of super-commuting vector fields is defined on the super Grassmannians. A characterization of the Jacobian varieties of super curves (super Schottky problem) is established in the following… Expand

The main result of this paper is the explicit computa- tion of the equations defining the moduli space of triples (C,p,�), where C is an integral and complete algebraic curve, p a smooth rational… Expand

We consider the interplay of infinite-dimensional Lie algebras of Virasoro type and moduli spaces of curves, suggested by string theory. We will see that the infinitesimal geometry of determinant… Expand

In this paper we continue the program pioneered by D’Hoker and Phong, and recently advanced by Cacciatori, Dalla Piazza, and van Geemen, of finding the chiral superstring measure by constructing… Expand