A Stably Irrational (2,3)-Complete Intersection Fourfold over $\mathbb{Q}$

Autor: Skauli, Bjørn

We apply the specialization technique based on the decomposition of the diagonal to find an explicit example over $\mathbb{Q}$ of a quadric and cubic hypersurface in $\mathbb{P}^6$ such that their intersection is a smooth stably irrational fourfold.

Externí odkaz: http://arxiv.org/abs/2105.14846

Curve classes on Calabi–Yau complete intersections in toric varieties

Autor: Skauli, Bjørn

Publikováno v: Bulletin of the London Mathematical Society. 55:811-825

We prove the integral Hodge conjecture for curve classes on smooth varieties of dimension at least three constructed as a complete intersection of ample hypersurfaces in a smooth projective toric variety, such that the anticanonical divisor is the re

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::757a1524593d4d321c877d6fccbbe865
https://doi.org/10.1112/blms.12758

A (2,3)-complete intersection fourfold with no decomposition of the diagonal.

Autor: Skauli, Bjørn

Publikováno v: Manuscripta Mathematica; Jul2023, Vol. 171 Issue 3/4, p473-486, 14p

The Cone Conjecture for Some Calabi-Yau Varieties

Autor: Skauli, Bjørn

Publikováno v: Skauli, Bjørn. The Cone Conjecture for Some Calabi-Yau Varieties. Master thesis, University of Oslo, 2017

Externí odkaz: http://hdl.handle.net/10852/60868
https://www.duo.uio.no/bitstream/handle/10852/60868/14/Skauli_Thesis.pdf

Towards the degree of the PGL(4)-orbit of a cubic surface

Autor: Cazzador, Elisa, Skauli, Bjørn

Publikováno v: Cazzador, Elisa Skauli, Bjørn . Towards the degree of the PGL(4)-orbit of a cubic surface. Le Mathematiche. 2020, 75(2), 439-456
Le Mathematiche

Externí odkaz: http://hdl.handle.net/10852/81185
https://www.duo.uio.no/bitstream/handle/10852/81185/2/2002-Article%2BText-6177-1-10-20200909.pdf