output
19952026
most citedThe virtual crystal approximation revisited: Application to dielectric and piezoelectric properties of perovskites

912 citations

Showing 2002Show all

6 papers · 1 filter

quant-ph2002★ 17 cited

Reply to "Comment on "Some implications of the quantum nature of laser fields for quantum computations''''

Julio Gea-Banacloche

In this revised reply to quant-ph/0211165, I address the question of the validity of my results in greater detail, by comparing my predictions to those of the Silberfarb-Deutsch mo…

math.AC2002

Cofiniteness and associated primes of local cohomology modules

Thomas Marley, Janet C. Vassilev

Let R be a regular local ring of dimension d, I an ideal of R, and M a finitely generated R-module of dimension n. We prove that the set of associated primes of Ext^i_R(R/I,H^j_I(M…

math.AC2002★ 1 cited

Local cohomology modules with infinite dimensional socles

Thomas Marley, Janet C. Vassilev

Let T be a commutative Noetherian local ring of dimension at least two and R=T[x_1,...,x_n] a polynomial ring in n variables over T. Consider R as a graded ring with deg T = 0 and…

math.GT2002

Local detection of strongly irreducible Heegaard splittings via knot exteriors

Tsuyoshi Kobayashi, Yo'av Rieck

We study the way a strongly irreducible Heegaard surface intersects a knot exterior embedded in a 3-manifold, and show that if consists of simple closed…

math.MG2002

Cubic Polyhedra

Chaim Goodman-Strauss, John M Sullivan

A cubic polyhedron is a polyhedral surface whose edges are exactly all the edges of the cubic lattice. Every such polyhedron is a discrete minimal surface, and it appears that many…

math.GT2002★ 27 cited

Thin position for a connected sum of small knots

Yo'av Rieck, Eric Sedgwick

We show that every thin position for a connected sum of small knots is obtained in an obvious way: place each summand in thin position so that no two summands intersect the same le…