Derjaguin’s Water II: a surface hydration phenomenon

Autor: Ilya Klugman, Anna Melnikov, Drew F. Parsons

Publikováno v: Substantia, Vol 3, Iss 2 (2019)

B.V. Derjaguin’s promotion of anomalous water II (polywater) in the early 1970s was an embarrassing point in the career of an illustrious chemist, and quickly repudiated by Derjaguin himself. Water II does not exist as a bulk liquid. And yet a theo

Externí odkaz: https://doaj.org/article/6f1994ba9df440908ece93ad7f43a368

On the existence of smooth orbital varieties in simple Lie algebras

Autor: Lucas Fresse, Anna Melnikov

Publikováno v: Journal of the London Mathematical Society
Journal of the London Mathematical Society, London Mathematical Society, 2020, 101 (3), pp.960-983. ⟨10.1112/jlms.12293⟩

International audience; Orbital varieties are the irreducible components of the intersection between a nilpotent orbit and a Borel subalgebra of the Lie algebra of a reductive group. There is a geometric correspondence between orbital varieties and i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::caf4e143f0a51877908f20ddafb77421
https://doi.org/10.1112/jlms.12293

The components of the singular locus of a component of a Springer fiber over x^2 = 0

Autor: Anna Melnikov, Ronit Mansour

For $x\in End(K^n)$ satisfying $x^2 = 0$ let $F_x$ be the variety of full flags stable under the action of $x$ (Springer fiber over $x$). The full classification of the components of $F_x$ according to their smoothness was provided in a paper of Fres

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::800a301af2c2138c7e916714ea83e515
http://arxiv.org/abs/1807.02766

B-orbits of nilpotency order 2 and link patterns

Autor: Anna Melnikov

Publikováno v: Indagationes Mathematicae. 24:443-473

Let B n be the group of upper-triangular invertible n × n matrices and X n be the set of strictly upper triangular n × n matrices of square zero seen as an algebraic variety. B n acts on X n by conjugation. In this paper we give first results on th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4c030de9c13a4be8ef4c2535c4f77c3
https://doi.org/10.1016/j.indag.2013.01.005

On geometric properties of orbital varieties in type A

Autor: Anna Melnikov, Lucas Fresse

Publikováno v: Comptes Rendus Mathematique. 349:735-739

The intersection between a nilpotent orbit O⊂gln(C) and the Lie algebra Lie(B)⊂gln(C) of a Borel subgroup B⊂GLn(C) is an equidimensional, quasi-affine algebraic variety. Its irreducible components are called orbital varieties. In this Note, we

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e4cde6b4b2579cb55ee0797891fdd893
https://doi.org/10.1016/j.crma.2011.05.016