What type of study is this?

This is a Quantitative Study study.

October 3, 2025Open Access

Rank 2 vector bundles and degrees of points of del Pezzo surfaces

View Full Paper

Ask AI

Bookmark

Authors

Research examines points and 0-cycles on cubic and degree 2 del Pezzo surfaces, suggesting implications for rationality.

Cubic surfaces with points defined over field extensions coprime to 3 either have a K-point or a point with degree 4, enhancing previous findings.
0-cycles of degree at least 18 on cubic surfaces are effective, demonstrating deeper effectiveness than prior results.
The third symmetric product of a cubic hypersurface is unirational over any field but generally not stably rational.
This work improves existing results on del Pezzo surfaces, emphasizing their unique properties and degree-related aspects.

Claire Voisin (2025) studied this question.

View Full Paper

Ask AI

Bookmark

October 3, 2025Open Access

View Full Paper

Ask AI

Bookmark

Authors

Research examines points and 0-cycles on cubic and degree 2 del Pezzo surfaces, suggesting implications for rationality.

Cubic surfaces with points defined over field extensions coprime to 3 either have a K-point or a point with degree 4, enhancing previous findings.
0-cycles of degree at least 18 on cubic surfaces are effective, demonstrating deeper effectiveness than prior results.
The third symmetric product of a cubic hypersurface is unirational over any field but generally not stably rational.
This work improves existing results on del Pezzo surfaces, emphasizing their unique properties and degree-related aspects.

Claire Voisin (2025) studied this question.

View Full Paper

Ask AI

Bookmark