3 papers
math.AG2025
Chern Classes of Toric Variety Bundles
Gregory Taroyan
In this paper, we resolve a conjecture of Khovanskii--Monin on the Chern classes of toric variety bundles. The main result is a formula for the total Chern class of the tangent bun…
math.AG2025
De Rham Theory in Derived Differential Geometry
Gregory Taroyan
This paper addresses the question: What is the de Rham theory for general differentiable spaces? We identify two potential answers and study them. In the first part, we show that t…
math.DG2023
Equivalent models of derived stacks
Gregory Taroyan
In the present paper, we establish an equivalence between several models of derived geometry. That is, we show that the categories of higher derived stacks they produce are Quillen…