geometry a normal crossing singularity is a singularity similar to a union of coordinate hyperplanes. The term can be confusing because normal crossing singularities...

resolve the pinch point singularity the whole singular locus needs to be blown up, including points where normal crossing singularities are present. Hironaka...

type A2-singularity. Let f (x, y) be a smooth function of x and y and assume, for simplicity, that f (0, 0) = 0. Then a type A2-singularity of f at (0...

residue Bott residue Sheaf of logarithmic differential forms normal crossing singularity Adjunction formula#Poincare residue Hodge structure Jacobian...

case the origin) is a limit of normal crossings singular points (the v {\displaystyle v} -axis in this case). These singular points are intimately related...

Deligne (1974). For a projective variety X {\displaystyle X} with normal crossing singularities there is a spectral sequence with a degenerate E2-page which...

closely related notions such as nc divisor, nc singularity, snc divisor, and snc singularity. See normal crossings. normally generated A line bundle L on a...

the classification of the singular points is singularity theory. A singular point is isolated if there is no other singular point in a neighborhood of...

Hodge Structures Deligne’s Mixed Hodge Structure for Projective Varieties with only Normal Crossing Singularities Local B-Model and Mixed Hodge Structure...

cluster method. A shell-crossing (sc) occurs in perturbation theory when matter trajectories intersect, forming a singularity. This limits the predictive...