2018年5月9日水曜日

Tropical Geometry

What is tropical geometry?


EX1.

K is algebraic closure, and V is closed manifold.


This is the tropical manifold.





EX2.


6x^2→2x+1, 5xy→x+y, 10y^2→2y+1, 3x→x, -y→ y, 4→2

2018年5月7日月曜日

Homological algebra for abelian categories

This is the development of a cohomological theory. You may call it tropical geometry.


EX.

You see P^3→P^2, so this seems to be fractal.

Bmod is the replacement for the category of abelian groups.

For all a, b in A, a • b = b • a





C admits equalizers Equ and coequalizers Coequ.

This is the natural morphism.