A. Thorup

activity

19942013

most citedConormal Geometry of Maximal Minors

4 citations · 6 across the 5 of their papers we have counts for

collaborators

5 papers

math.AC2013

Completeness of the ring of polynomials

Anders Thorup

Let $k$ be an uncountable field. We prove that the polynomial ring $R := k [X_{1}, \dots, X_{n}]$ in $n \geq 2$ variables over $k$ is complete in its adic topology. In addition we prove that…

math.AC2012

Remarks on certain composita of fields

Christian U. Jensen, Anders Thorup

Let $L$ and $M$ be two algebraically closed fields contained in some common larger field. It is obvious that the intersection $C = L \cap M$ is also algebraically closed. Although the…

math.AC2011★ 2 cited

On the invariants of the splitting algebra

Anders Thorup

For a given monic polynomial $p (t)$ of degree $n$ over a commutative ring $k$ , the splitting algebra is the universal $k$ -algebra in which $p (t)$ has $n$ roots, or, more precisely,…

alg-geom1997★ 4 cited

Conormal Geometry of Maximal Minors

S. Kleiman, A. Thorup

Let A be a Noetherian local domain, N be a finitely generated torsion- free module, and M a proper submodule that is generically equal to N. Let A[N] be an arbitrary graded overdom…

alg-geom1994

Mixed Buchsbaum--Rim Multiplicities

Steven Kleiman, Anders Thorup

We prove the results about mixed Buchsbaum--Rim multiplicities announced in (9.10)(ii) on p.224 of our recent paper [J.Alg.(1994)], including a general mixed-multiplicity formula.…