9 citations · 29 across the 8 of their papers we have counts for
8 papers
Quadratic Segre indices
Felipe Espreafico, Stephen McKean, Sabrina Pauli
We prove that the local Euler class of a line on a degree hypersurface in projective space is given by a product of indices of Segre involutions. Segre involutions and…
Quadratically Enriched Tropical Intersections
Andrés Jaramillo Puentes, Sabrina Pauli
Using tropical geometry one can translate problems in enumerative geometry to combinatorial problems. Thus tropical geometry is a powerful tool in enumerative geometry over the com…
Quadratic Counts of Twisted Cubics
Marc Levine, Sabrina Pauli
Using a quadratic version of the Bott residue theorem, we give a quadratic refinement of the count of twisted cubic curves on hypersurfaces and complete intersections in a projecti…
Bézoutians and the -degree
Thomas Brazelton, Stephen McKean, Sabrina Pauli
We prove that both the local and global -degree of an endomorphism of affine space can be computed in terms of the multivariate Bézoutian. In particular, we show that…
Applications to A1-enumerative geometry of the A1-degree
Sabrina Pauli, Kirsten Wickelgren
These are lecture notes from the conference Arithmetic Topology at the Pacific Institute of Mathematical Sciences on applications of Morel's A1-degree to questions in enumerative g…
Quadratic types and the dynamic Euler number of lines on a quintic threefold
Sabrina Pauli
We provide a geometric interpretation of the local contribution of a line to the count of lines on a quintic threefold over a field k of characteristic not equal to 2, that is, we…
Computing A1-Euler numbers with Macaulay2
Sabrina Pauli
We use Macaulay2 for several enriched counts in GW(k). First, we compute the count of lines on a general cubic surface using Macaulay2 over Fp in GW(Fp) for p a prime number and ov…
A1 contractibility of affine modifications
Adrien Dubouloz, Sabrina Pauli, Paul Arne Østvær
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-co…