We present an analysis on the Becchi-Rouet-Stora-Tyutin (BRST) symmetry transformations of Ho\ifmmode \check{r}\else \v{r}\fi{}ava theory under Batalin-Fradkin-Vilkovisky quantization, both in nonprojectable and projectable cases. obtain that BRST are intimately related to a particular spatial diffeomorphism along one ghost vector fields. show explicitly invariance quantum action nilpotence tra...

We study the class of Bernstein algebras that are algebraic, in sense each element generates a finite-dimensional subalgebra. Every algebra has maximal algebraic ideal, and quotient is zero-multiplication algebra. Several equivalent conditions for to be given. In particular, known characterizations train terms nilpotency generalized case locally algebras. Along way, we show if Banach (respectiv...

For a one-parameter degeneration of reduced compact complex analytic spaces dimension $n$, we prove the invariance frontier Hodge numbers $h^{p,q}$ (that is, with $pq(n-p)(n-q)=0$) for intersection cohomology fibers and also their desingularizations, assuming that central fiber is reduced, projective, has only rational singularities. This can be shown to equivalent structure sheaf (which known ...