Algebraic cobordism of spherical varieties / eingereicht von Henry July. Wuppertal, August 2022
Inhalt
- Acknowledgements
- Abstract
- Résumé
- Kurzfassung
- Introductions
- Preliminaries
- Oriented cohomology theories
- Algebraic cobordism
- Some computations for toric varieties
- Equivariant algebraic cobordism
- Spherical and horospherical varieties
- Computations of equivariant algebraic cobordism
- Filtrable schemes
- T-filtrable schemes
- Equivariant Chow groups for torus actions
- Cobordism ring of classifying spaces
- Equivariant algebraic cobordism for torus actions
- Refinement of coefficients in the localisation theorem
- Künneth formula for T-equivariant cobordism
- Comparison of equivariant cohomology theories
- Equivariant cobordism of spherical varieties
- Equivariant Chow groups of spherical varieties
- Equivariant cobordism of spherical varieties
- Equivariant cobordism of odd symplectic Grassmannians
- Equivariant cobordism of horospherical varieties
- T-stable curves in flag varieties
- Geometry of horospherical varieties of Picard number one
- Geometry of horospherical varieties of Picard number two
- Equivariant multiplicities at isolated fixed points
- Appendix
- T-stable curves in the flag variety G2/Pa
- Blow up of X4
- Class of X4 in different equivariant cohomology theories
- Comparison of [X4*] and [X4] in different cohomology theories
- Refined coefficient ring for the horospherical F4-variety
- References