• Corpus ID: 245123665

On quadratically enriched excess and residual intersections

@inproceedings{Bachmann2021OnQE,
  title={On quadratically enriched excess and residual intersections},
  author={Tom Bachmann and Kirsten Wickelgren},
  year={2021}
}
We use recent duality results of Eisenbud–Ulrich to give tools to study quadratically enriched residual intersections when there is no excess bundle. We use this to prove a formula for the Wittvalued Euler number of an almost complete intersection. We give example computations of quadratically enriched excess and residual intersections. 
View PDF on arXiv
View With Semantic Reader

References

SHOWING 1-10 OF 70 REFERENCES
The excess intersection formula for Grothendieck–Witt groups
We prove the excess intersection and self intersection formulae for Grothendieck–Witt groups.
On Cohen-Macaulay rings
In this paper, we use a characterization of R-modules N such that fdRN = pdRN to characterize Cohen-Macaulay rings in terms of various dimensions. This is done by setting N to be the dth local…
Residual intersections in Cohen -Macaulay rings
Computations in A1-homotopy theory
We introduce Koras-Russell fiber bundles over algebraically closed fields of characteristic zero. After a single suspension, this exhibits an infinite family of smooth affine A1-contractible 3-folds.…
Lectures on Chow-Witt groups
In these lectures, we provide a toolkit to work with Chow-Witt groups, and more generally with the homology and cohomology of the Rost-Schmid complex associated to Milnor-Witt $K$-theory.
Eckhard Meinrenken Clifford Algebras and Lie Theory ( Ergebnisse Der Mathematik Und Ihrer Grenzgebiete
This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed…
Arithmetic inflection formulae for linear series on hyperelliptic curves
Over the complex numbers, Plucker's formula computes the number of inflection points of a linear series of projective dimension $r$ and degree $d$ on a curve of genus $g$. Here we explore the…
Gorenstein-duality for one-dimensional almost complete intersections – with an application to non-isolated real singularities
Abstract We give a generalisation of the duality of a zero-dimensional complete intersection for the case of one-dimensional almost complete intersections, which results in a Gorenstein module M =…
Motivic Gauss–Bonnet formulas
The apparatus of motivic stable homotopy theory provides a notion of Euler characteristic for smooth projective varieties, valued in the Grothendieck-Witt ring of the base field. Previous work of the…
The class of Eisenbud–Khimshiashvili–Levine is the local A1-Brouwer degree
Given a polynomial function with an isolated zero at the origin, we prove that the local A1-Brouwer degree equals the Eisenbud-Khimshiashvili-Levine class. This answers a question posed by David…
...
1
2
3
4
5
...