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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"algebraic eometry (math.AG)"" "subject:"algebraic angeometry (math.AG)""

1

K-theory of certain additive categories associated with varieties

Harrison Wong (11178198) 23 July 2021 (has links)
<div>Let <i>K<sub>0</sub></i>(Var<i><sub>k</sub></i>) be the Grothendieck group of varieties over a field <i>k</i>. We construct an exact category, denoted Add(Var<sub><i>k</i></sub>)<sub><i>S</i></sub>, such that there is a surjection <i>K<sub>0</sub></i>(Var<i>k</i>)→<i>K<sub>0</sub></i>(Add(Var<i><sub>k</sub></i>)<sub><i>S</i></sub>).If we consider only zero dimensional varieties, then this surjection is an isomorphism. Like <i>K<sub>0</sub></i>(Var<i><sub>k</sub></i>), the group K<sub><i>0</i></sub>(Add(Var<sub><i>k</i></sub>)<i><sub>S</sub></i>) is also generated by isomorphism classes of varieties,and we construct motivic measures on <i>K<sub>0</sub></i>(Add(Var<i><sub>k</sub></i>)<i><sub>S</sub></i>) including the Euler characteristic if <i>k</i>=<i>C</i>, and point counting measures and the zeta function if <i>k</i> is finite.<br></div>
Algebraic Geometry (math.AG)
2

Constraints on the Action of Positive Correspondences on Cohomology

Joseph Knight (16611825) 18 July 2023 (has links)
<p>See abstract. </p>
Algebra and number theory
Algebraic and differential geometry
Algebraic Geometry (math.AG)

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