Work

Cones of cycles on blowups of $$(\mathbb {P}^1)^n$$

Year: 2025

Type: article

Abstract: We study cones of pseudoeffective cycles on the blow up of $$(\mathbb {P}^1)^n$$ ( P 1 ) n at points in very general position, proving some results concerning their structure. In particular, we show that in some cases they turn out to be generated by exceptional classes and fiber classes relatively to the projections onto a smaller number of copies of projective lines.

Source: Collectanea mathematica

DOI: 10.1007/s13348-025-00469-9

Authors: Gilberto Bini, Luca Ugaglia

Institution: University of Palermo

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Università degli Studi di Palermo, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni