Shared understandings of dementia? : An application of the Common Sense Self Regulation Model to a case study

Peer reviewedPostprin

Sheaves on singular varieties

We prove existence of reflexive sheaves on singular surfaces and threefolds with prescribed numerical invariants and study their moduli.Comment: 11 pages, to appear in Proc. Singularities in Aahrus, in honor of Andrew du Plessi

Irregular Migration and Asylum Seekers in the Caribbean

migration, irregular migration, Caribbean population, asylum

Measuring power

This paper focuses on dynamics within couples, although the authors recognize that dynamics among extended family members and across generations are of substantial interest. Decisions about resource allocations, control over economic resources, whether and how much one works, are all examined.Households. ,Resource allocation. ,Labor. ,Gender. ,

Local holomorphic Euler characteristic and instanton decay

We study the local holomorphic Euler characteristic $\chi(x,\mathcal{F})$ of sheaves near a surface singularity obtained from contracting a line $\ell$ inside a smooth surface $Z$. We prove non-existence of sheaves with certain prescribed numerical invariants. Non-existence of instantons on $Z$ with certain charges follows, and we conclude that $\ell^2$ poses an obstruction to instanton decay. A Macaulay 2 algorithm to compute $\chi$ is made available at http://www.maths.ed.ac.uk/~s0571100/Instanton/Comment: 15 pages. Revision history: v1: Original. v2: minor corrections, as publishe

Smoothing of rational m-ropes

In a recent paper, Gallego, Gonz\'{a}lez and Purnaprajna showed that rational 3-ropes can be smoothed. We generalise their proof and obtain smoothability of rational $m$-ropes for $m \geq 3$.Comment: As accepted for publication (6/7 pages A4/letter