Local holomorphic Euler characteristic and instanton decay
| dc.creator | Gasparim, Elizabeth | |
| dc.creator | Köppe, Thomas | |
| dc.creator | Majumdar, Pushan | |
| dc.date | 2007-09-17 | |
| dc.date | 2008-10-04 | |
| dc.date.accessioned | 2026-07-07T10:07:12Z | |
| dc.date.available | 2026-07-07T10:07:12Z | |
| dc.description | We study the local holomorphic Euler characteristic $χ(x,\mathcal{F})$ 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 $χ$ is made available at http://www.maths.ed.ac.uk/~s0571100/Instanton/ | |
| dc.description | 15 pages. Revision history: v1: Original. v2: minor corrections, as published | |
| dc.identifier | https://arxiv.org/abs/0709.2577 | |
| dc.identifier | http://arxiv.org/abs/0709.2577 | |
| dc.identifier | Pure Appl. Math. Q. 4 no. 2, Special Issue: In honor of Fedya Bogomolov, Part 1, 161-179 (2008) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170554 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | 14J60, 14J81 | |
| dc.title | Local holomorphic Euler characteristic and instanton decay | |
| dc.type | text |