Fixed-Curve Counts for Blow-Ups of Projective Spaces

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• Alessio Cela, University of Cambridge
• Wednesday 13 November 2024, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Dhruv Ranganathan.

In this talk, I will explain how to count maps from a fixed genus g curve to blow-ups of projective spaces. Such counts are referred to as the Tevelev degrees of the variety. I will discuss the relationship between the virtual and enumerative counts, as well as the connection between the stability (w.r.t. the curve class) of the tangent bundle of the variety and the vanishing of these degrees. If time permits, I will introduce a modification of the moduli space of quasi-maps, which computes the enumerative invariants for these blow-ups.

This talk is part of the Algebraic Geometry Seminar series.

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