Geodesic
Characteristic classes of affine varieties and Plücker formulas for affine morphisms
Journal of the European Mathematical Society, Tome 20 (2018) no. 1, pp. 15-59

Voir la notice de l'article provenant de la source EMS Press

An enumerative problem on a variety V is usually solved by reduction to intersection theory in the cohomology of a compactification of V. However, if the problem is invariant under a “nice” group action on V (so that V is spherical), then many authors suggested a better home for intersection theory: the direct limit of the cohomology rings of all equivariant compactifications of V. We call this limit the affine cohomology of V and construct affine characteristic classes of subvarieties of a complex torus, taking values in the affine cohomology of the torus.
DOI : 10.4171/jems/758
Classification : 14-XX, 32-XX
Keywords: Intersection theory, enumerative geometry, tropical geometry, Newton polytope, discriminant, Thom polynomial, toric variety, spherical variety 
Alexander Esterov. Characteristic classes of affine varieties and Plücker formulas for affine morphisms. Journal of the European Mathematical Society, Tome 20 (2018) no. 1, pp. 15-59. doi: 10.4171/jems/758
@article{JEMS_2018_20_1_a1,
     author = {Alexander Esterov},
     title = {Characteristic classes of affine varieties and {Pl\"ucker} formulas for affine morphisms},
     journal = {Journal of the European Mathematical Society},
     pages = {15--59},
     year = {2018},
     volume = {20},
     number = {1},
     doi = {10.4171/jems/758},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/758/}
}
TY  - JOUR
AU  - Alexander Esterov
TI  - Characteristic classes of affine varieties and Plücker formulas for affine morphisms
JO  - Journal of the European Mathematical Society
PY  - 2018
SP  - 15
EP  - 59
VL  - 20
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/758/
DO  - 10.4171/jems/758
ID  - JEMS_2018_20_1_a1
ER  - 
%0 Journal Article
%A Alexander Esterov
%T Characteristic classes of affine varieties and Plücker formulas for affine morphisms
%J Journal of the European Mathematical Society
%D 2018
%P 15-59
%V 20
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/758/
%R 10.4171/jems/758
%F JEMS_2018_20_1_a1

Cité par Sources :