34 citations · 170 across the 14 of their papers we have counts for
14 papers
Supercycles, stable supermaps and SUSY Nori motives
Ugo Bruzzo, Daniel Hernandez Ruiperez, Yuri I. Manin
We define stable supercurves and stable supermaps, and based on these notions we develop a theory of Nori motives for the category of stable supermaps of SUSY curves with punctures…
Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes
Ugo Bruzzo, Daniel Hernandez Ruiperez, Alexander Polishchuk
These notes aim at providing a complete and systematic account of some foundational aspects of algebraic supergeometry, namely, the extension to the geometry of superschemes of man…
Stable Sheaves Over K3 Fibrations
Bjorn Andreas, Daniel Hernandez Ruiperez, Dario Sanchez Gomez
We construct stable sheaves over K3 fibrations using a relative Fourier-Mukai transform which describes the sheaves in terms of spectral data similar to the construction for ellipt…
Fourier Mukai Transforms for Gorenstein Schemes
D. Hernandez Ruiperez, A. C. Lopez Martin, F. Sancho de Salas
We extend to singular schemes with Gorenstein singularities or fibered in schemes of that kind Bondal and Orlov's criterion for an integral functor to be fully faithful. We also co…
Fourier Mukai Transforms and Applications to String Theory
Bjorn Andreas, Daniel Hernandez Ruiperez
We give an introductory review of Fourier-Mukai transforms and their application to various aspects of moduli problems, string theory and mirror symmetry. We develop the necessary…
U(n) Vector Bundles on Calabi-Yau Threefolds for String Theory Compactifications
Bjorn Andreas, Daniel Hernandez Ruiperez
An explicit description of the spectral data of stable U(n) vector bundles on elliptically fibered Calabi-Yau threefolds is given, extending previous work of Friedman, Morgan and W…