activity
19952023
most citedPicard Groups and Class Groups of Monoid Schemes

20 citations · 58 across the 27 of their papers we have counts for

collaborators

33 papers

math.DS2023

Computing the Conley Index: a Cautionary Tale

Konstantin Mischaikow, Charles Weibel

This paper concerns the computation and identification of the (homological) Conley index over the integers, in the context of discrete dynamical systems generated by continuous map…

math.KT2022

Module structure of the -theory of polynomial-like rings

Christian Haesemayer, Charles Weibel

Suppose is a submonoid of a lattice, not containing a line. In this note, we use the natural -grading on the monoid algebra to prove structural results about the rela…

math.KT2021

Localization, monoid sets and K-theory

Ian Coley, Charles Weibel

We develop the K-theory of sets with an action of a pointed monoid (or monoid scheme), analogous to the -theory of modules over a ring (or scheme). In order to form localization…

math.AT2021

Persistent homology with non-contractible preimages

Konstantin Mischaikow, Charles Weibel

For a fixed , we analyze the space of all sequences , approximating a continuous function on the circle, with a given persistence diagram , and show that t…

math.AG2020★ 5 cited

Grothendieck-Witt groups of some singular schemes

Max Karoubi, Marco Schlichting, Charles Weibel

We establish some structural results for the Witt and Grothendieck-Witt groups of schemes over , including homotopy invariance for Witt groups and a formula for th…

math.KT2019

The Witt group of real surfaces

Max Karoubi, Charles Weibel

Let be an algebraic variety defined over , and the space of its complex points. We compare the algebraic Witt group of symmetric bilinear forms on v…