Spicer, Calum

We develop some foundational results in a higher dimensional foliated Mori theory, andshow how these results can be used to prove a structure theorem for the Kleiman-Mori coneof curves in terms of the numerical properties of $K_{\cal F}$ for rank 2 foliationson threefolds. We also make progresstoward realizing a minimal model program for rank 2 fol...

Bailey, Vivian Josie

This dissertation is concerned with calculating the group of unramified Brauer invariants of a finite group over a field of arbitrary characteristic. We present a formula for the group of degree-two cohomological invariants of a finite group G with coefficients in Q/Z(1) over a field F of arbitrary characteristic. We then specialize this formula to...

Spicer, Calum

We develop some foundational results in a higher dimensional foliated Mori theory, andshow how these results can be used to prove a structure theorem for the Kleiman-Mori coneof curves in terms of the numerical properties of $K_{\cal F}$ for rank 2 foliationson threefolds. We also make progresstoward realizing a minimal model program for rank 2 fol...

Spicer, Calum

We develop some foundational results in a higher dimensional foliated Mori theory, andshow how these results can be used to prove a structure theorem for the Kleiman-Mori coneof curves in terms of the numerical properties of $K_{\cal F}$ for rank 2 foliationson threefolds. We also make progresstoward realizing a minimal model program for rank 2 fol...

Mboro, Rene

This paper presents two approaches to reducing problems on 2-cycles on a smooth cubic hypersurface X over an algebraically closed field of characteristic = 2, to problems on 1-cycles on its variety of lines F (X). The first one relies on bitangent lines of X and Tsen-Lang theorem. It allows to prove that CH 2 (X) is generated, via the action of the...

Spicer, Calum

We develop some foundational results in a higher dimensional foliated Mori theory, andshow how these results can be used to prove a structure theorem for the Kleiman-Mori coneof curves in terms of the numerical properties of $K_{\cal F}$ for rank 2 foliationson threefolds. We also make progresstoward realizing a minimal model program for rank 2 fol...

Bailey, Vivian Josie

This dissertation is concerned with calculating the group of unramified Brauer invariants of a finite group over a field of arbitrary characteristic. We present a formula for the group of degree-two cohomological invariants of a finite group G with coefficients in Q/Z(1) over a field F of arbitrary characteristic. We then specialize this formula to...

Spicer, Calum

We develop some foundational results in a higher dimensional foliated Mori theory, andshow how these results can be used to prove a structure theorem for the Kleiman-Mori coneof curves in terms of the numerical properties of $K_{\cal F}$ for rank 2 foliationson threefolds. We also make progresstoward realizing a minimal model program for rank 2 fol...

Bailey, Vivian Josie

This dissertation is concerned with calculating the group of unramified Brauer invariants of a finite group over a field of arbitrary characteristic. We present a formula for the group of degree-two cohomological invariants of a finite group G with coefficients in Q/Z(1) over a field F of arbitrary characteristic. We then specialize this formula to...

Mboro, Rene

We adapt for algebraically closed fields k of characteristic greater than 2 two results of Voisin, on the decomposition of the diagonal of a smooth cubic hypersurface X of dimension 3 over ℂ, namely: the equivalence between Chow-theoretic and cohomological decompositions of the diagonal of those hypersurfaces and the fact that the algebraicity (wit...