On characteristic classes of singular hypersurfaces and involutive symmetries of the Chow group
Journal of Singularities, Tome 14 (2016), pp. 113-123
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For every choice of an integer and a line bundle on an algebraic scheme we construct an associated involution on its Chow group, and show that various notions of characteristic class for singular hypersurfaces are interchanged via such involutions. As an application, we apply our formulas to effectively compute some non-trivial characteristic classes associated with a graph hypersurface. In the case of projective space we show that such involutions are induced by involutive correspondences.
@article{10_5427_jsing_2016_14g,
author = {James Fullwood},
title = {On characteristic classes of singular hypersurfaces and involutive symmetries of the {Chow} group},
journal = {Journal of Singularities},
pages = {113--123},
publisher = {mathdoc},
volume = {14},
year = {2016},
doi = {10.5427/jsing.2016.14g},
url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2016.14g/}
}
TY - JOUR AU - James Fullwood TI - On characteristic classes of singular hypersurfaces and involutive symmetries of the Chow group JO - Journal of Singularities PY - 2016 SP - 113 EP - 123 VL - 14 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2016.14g/ DO - 10.5427/jsing.2016.14g ID - 10_5427_jsing_2016_14g ER -
%0 Journal Article %A James Fullwood %T On characteristic classes of singular hypersurfaces and involutive symmetries of the Chow group %J Journal of Singularities %D 2016 %P 113-123 %V 14 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2016.14g/ %R 10.5427/jsing.2016.14g %F 10_5427_jsing_2016_14g
James Fullwood. On characteristic classes of singular hypersurfaces and involutive symmetries of the Chow group. Journal of Singularities, Tome 14 (2016), pp. 113-123. doi: 10.5427/jsing.2016.14g
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