As stated in the last paper (1965), many authors have reported about the initial development of permanent tooth germs but there are very few studies concerning the position changes during the whole development of permanent tooth germs. Therefore, following the last report about the ontogenetic origin of permanent tooth germs, the author wishes to describe in details the position changes during ...

2014 Germs of cholesteric liquids were studied in classical mixtures of nematic compounds (MBBA, PAA) with a twisting substance (cholesterol benzoate). These germs were also studied with different polymers of biological interest : synthetic polypeptides (PBLG), nucleic acids (DNA) and polysaccharides (xanthan). Germs are either spherical or elongated with a uniform orientation of layers; there ...

Systems of germs of sets in infinite-dimensional spaces are introduced and studied. Such a system corresponds to a local zero-set of an ideal of the ring of analytic functions of infinite number of variables. Conversely, this system of germs defines the ideal of germs of analytic functions vanishing on it. A theorem of zeros is proved, stating that this ideal is the radical (in the complex case...

We determine all complete intersection surface germs whose Pythagoras number is 2, and find they are all embedded in R and have the property that every positive semidefinite analytic function germ is a sum of squares of analytic function germs. In addition, we discuss completely these properties for mixed surface germs in R. Finally, we find in higher embedding dimension three different familie...

In [GP], Gambaudo and Pécou introduced the “linking property” to study the dynamics of germs of planar homeomorphims and provide a new proof of Naishul theorem. In this paper we prove that the negation of Gambaudo-Pécou property characterises the topological dynamics of holomorphic parabolic germs. As a consequence, a rotation set for germs of surface homeomorphisms around a fixed point can be ...

In this paper we show that any hypersurface singularities of germs of varieties in positive characteristic can be resolved by iterated monoidal transformations with centers in smooth subvarieties, if we have a valuation ring of iterated divisor type associated with the germ. Besides, we introduce fundamental concepts for the study of resolution of singularities of germs such as space germs, ite...

FEDERICO SÁNCHEZ-BRINGAS Let I' be a finite subgroup of GL(n, (C) . This subgroup acts on the space of germs of holomorphic vector fields vanishing at the origin in Cn and on the group of germs of holomorphic diffeomorphisms of ((Cn, 0) . We prove a theorem of invariant conjugacy to a normal form and linearization for the subspace of invariant germs of holomorphic vector fields and we give a de...

In an earlier paper we introduced the concept of Shalika germs for certain Kloosterman integrals. We compute explicitly the germs in the case of the group GL(3).

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