3 papers
math.RA2013
Inequalities for generalized minors
Benjamin Schwarz
It is a classical result that the absolute value of any -minor of an real or complex matrix is bounded by the product of its first singular values. We generalize…
math.CV2013
Existence of nearly holomorphic sections on compact Hermitian symmetric spaces
Benjamin Schwarz
Let be a compact Hermitian symmetric space, and let $\sE$ be a -homogeneous Hermitian vector bundle on . In a previous paper, we showed that the space of nearly holom…
math.RT2012
Nearly holomorphic sections on compact Hermitian symmetric spaces
Benjamin Schwarz
Let X be a Kähler manifold, and E be a Hermitian vector bundle on X. We investigate the space N(X,E) of nearly holomorphic sections in E, which generalizes the notion of nearly hol…