Non-symmetric orthogonal geometry of Grothendieck rings of coherent sheaves on projective spaces
| dc.creator | Gorodentsev, A. L. | |
| dc.date | 1994-09-27 | |
| dc.date.accessioned | 2026-07-07T09:06:12Z | |
| dc.date.available | 2026-07-07T09:06:12Z | |
| dc.description | In this paper we consider orthogonal geometry of the free $\protect\ZZ$-module $K_0(\protect\PP_n)$ with respect to the non-symmetric unimodular bilinear form $$χ(E,F)=\sum (-1)^ν\dim\ext^ν(E,F). $$ We calculate the isometry group of this form and describe invariants of its natural action on $K_0(\protect\PP_n)$. Also we consider some general constructions with non-symmetric unimodular forms. In particular, we discuss orthogonal decomposition of such forms and the action of the braid group on a set of semiorthonormal bases. We formulate a list of natural arithmetical conjectures about semiorthogonal bases of the form $χ$. | |
| dc.description | 30 pages, LATEX (version 2.01), 12pt, twoside, font families "eufm" and "msbm" are used | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9409005 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9409005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149925 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Non-symmetric orthogonal geometry of Grothendieck rings of coherent sheaves on projective spaces | |
| dc.type | text |