Gauge backgrounds and zero-mode counting in F-theory

M Bies, C Mayrhofer, T Weigand - Journal of High Energy Physics, 2017 - Springer
A bstract Computing the exact spectrum of charged massless matter is a crucial step towards
understanding the effective field theory describing F-theory vacua in four dimensions. In this …

Characterizing Serre Quotients with no Section Functor and Applications to Coherent Sheaves

M Barakat, M Lange-Hegermann - Applied Categorical Structures, 2014 - Springer
We prove an analogon of the the fundamental homomorphism theorem for certain classes of
exact and essentially surjective functors of Abel ian categories Q:A→B. It states that Q is up …

[HTML][HTML] On the Ext-computability of Serre quotient categories

M Barakat, M Lange-Hegermann - Journal of Algebra, 2014 - Elsevier
To develop a constructive description of Ext in categories of coherent sheaves over certain
schemes, we establish a binatural isomorphism between the Ext-groups in Serre quotient …