A bstract We study particular families of bad 3d $$ \mathcal{N} N = 4 quiver gauge theories, whose Higgs branches consist many cones. show the role a novel brane configuration in realizing moduli for each distinct cone. Through constructions, magnetic quivers, Hasse diagrams, and Hilbert series computations w...

In this paper, we investigate relation between weak subdifferential and augmented normal cone. We define augmented normal cone via weak subdifferential and vice versa. The necessary conditions for the global maximum are also stated. We produce preliminary properties of augmented normal cones and discuss them via the distance function. Then we obtain the augmented normal cone for the indicator f...

We explicitly calculate the normal cones of all monomial primes which define the curves of the form (tL, tL+1, . . . , tL+n), where n ≤ 4. All of these normal cones are reduced and Cohen-Macaulay, and their reduction numbers are independent of the reduction. These monomial primes are new examples of integrally closed ideals for which the product with the maximal homogeneous ideal is also integr...

For sets given as finite intersections A = ⋂K k=1Ak the basic normal cone N(x̄;A) is given as ∑ kN(x̄;Ak), but such a result is not, in general, available for infinite intersections. A comparable characterization of N(x̄;A) is obtained here for a class of such infinite intersections.

In mammals, non-visual responses to light involve intrinsically photosensitive melanopsin-expressing retinal ganglion cells (ipRGCs) that receive synaptic inputs from rod and cone photoreceptors. Several studies have shown that cones also play a role in light entrainment, photic responses of the suprachiasmatic nucleus (SCN), pupil constriction, and sleep induction. These studies suggest that c...