225 citations · 576 across the 71 of their papers we have counts for
81 papers
Derived supergeometry and perfect obstruction theories on algebraic superstacks
Ugo Bruzzo, Daniel Hernández Ruipérez, Emanuele Pavia +1
We develop a deformation-theoretic framework for algebraic superstacks and apply it to the construction of perfect obstruction theories on moduli spaces of stable supermaps. In ord…
Foundations of superstack theory
Ugo Bruzzo, Daniel Hernández Ruipérez
In view of applications to the construction of moduli spaces of objects in algebraic supergeometry, we start a systematic study of stacks in that context. After defining a supersta…
Moduli of stable supermaps
Ugo Bruzzo, Daniel Hernández Ruipérez
We review the notion of stable supermap from SUSY curves to a fixed target superscheme, and prove that when the target is (super)projective, stable supermaps are parameterized by a…
On the exceptional set of crepant resolutions of abelian singularities
Ugo Bruzzo, Fábio Arceu Ferreira
Let G be a finite abelian subgroup of SL(n,C), and suppose there exists a toric crepant resolution phi: X -- > C^n/G. We prove that for each component E of the exceptional set of p…
The paint group Tits Satake theory of hyperbolic symmetric spaces: the distance function, paint invariants and discrete subgroups
Ugo Bruzzo, Pietro Fré, Mario Trigiante
The present paper, which is partially a review, but also contains several completely new results, aims at presenting, in a unified mathematical framework, a complex and articulated…
Splitting of supervector bundles on projective superspaces
Charles Almeida, Ugo Bruzzo
We provide a splitting criterion for supervector bundles over the projective superspaces . More precisely, we prove that a rank supervector bundle on $\math…