We undertake a systematic study of Lipschitz Normally Embedded normal complex surface germs. prove in particular that the topological type such germ determines combinatorics its minimal resolution which factors through blowup maximal ideal and Nash transform, as well polar curve discriminant generic plane projection, thus generalizing results Spivakovsky Bondil were known for singularities. In ...

In the previous letter, arXiv:2210.16738[hep-th], we found a set of flavor mass relations as constraints that $\beta$-deformed $A_{n-1}$ quiver matrix model restores maximal symmetry in massive scaling limit and reported existence Argyres-Douglas critical hypersurface. this derive concrete conditions on moduli parameters which maximally degenerates Seiberg-Witten curve while maintaining relatio...

We propose two fast methods for dominant point detection and polygonal representation of noisy and possibly disconnected curves based on a study of the decomposition of the curve into the sequence of maximal blurred segments [2]. Starting from results of discrete geometry [3, 4], the notion of maximal blurred segment of width ν [2] has been proposed, well adapted to possibly noisy curves. The f...

The grip strength in which subjects sustained a maximal isometric contraction for 6 seconds (the 6-second test) was compared with that for 10 seconds (the 10-second test) to clarify a reliable sustained grip strength test procedure. Fifty healthy students (22+/-4 years, 25 men and 25 women) participated in this study. Strength was measured continuously by the Dexter (Cedaron Medical Inc.). The ...

We solve the center-focus problem in a class of piecewise quadratic polynomial differential systems with an invariant straight line. The separation curve is also line which not invariant. provide families having at origin weak-foci maximal order. In continuous class, cyclicity solved, being 3 such number. Moreover, for discontinuous but without sliding segment, we prove existence 7 limit cycles...

objective: by date investigations have indicated the presence of stem cells within the pulp tissue of both temporary and permanent human teeth. in the present study, these stem cells were compared in terms of their growth kinetics and culture requirements. materials and methods: stem cells within the pulp of the human third molar (permanent tooth) and the deciduous incisor (temporary tooth) wer...

In this paper we determine the generalized Weierstrass semigroup $$ \widehat{H}(P_{\infty }, P_1, \ldots , P_{m})$$ and consequently $$H(P_{\infty at $$m+1$$ points on curves $$\mathcal {X}_{a,b,n,s}$$ {Y}_{n,s}$$ . These has been introduced in Tafazolian et al (J Pure Appl Algebra 220:1122–1132, 2016) as new examples of which cannot be covered by Hermitian curve.

This short, expository note proves existence of the maximal quotient of a variety by free rational curves. 1. Definition of a maximal free rational quotient Definition 1.1. Let V be a Deligne-Mumford stack over a field k, and denote the smooth locus by V sm ⊂ V . A 1-morphism f : Pk → V sm is a free rational curve to V if fTV is generated by global sections and has positive degree. Let S be an ...