Personal research
Chern constructions and support geometry
Develop flag detection and virtual Chern arithmetic alongside indexed support fibers, excision, Koszul classes and curve dévissage. Place the article's support definitions here and prepare the Bertini and exterior-Euler interfaces needed by its final geometric arguments.
1 · Prerequisites
- Weight zero is the locally constant rank function
- Actual first-Chern and determinant maps of the first EM layer
- External actual augmented EM and smooth slice tower comparison
- External supported slice projection with positive generic coefficient
- Bottom supported Bloch groups on a codimension two curve
- The actual supported Euler class has the generic length coordinate
- Positive generic cycles determine the curve-supported homomorphism
- Augmented tower comparisons preserve supported graded projections
- The supported second stage has the actual augmentation inverse
- Cycle complexes with fixed support
- Dévissage of K zero with regular ambient support
- Perfect K theory localization and open excision
- Motivic and filtered K theory with support
- The Axiom of Choice
- Actual raw simplicial cycles satisfy descent without separatedness
2 · Logical flowchart
Arrows show item dependencies. A grouped prerequisite node points to items that use one or more of its members; their exact links are listed above.
3 · Items
Lemma