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19952026
most citedInverse Problem for a Curved Quantum Guide

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math.AG2026

Enumerative geometry of surfaces

Thomas Dedieu

The aim of these notes is to explain various enumerative results about surfaces without assuming familiarity with Gromov--Witten theory. The enumerative results in question ar…

math.AG2025

Two lectures on the enumeration of curves by means of floor diagrams

Thomas Dedieu

We discuss, following Mikhalkin, Brugallé, and many others, the counting of curves on toric surfaces with prescribed genus, Newton polygon, and intersection pattern with the toric…

math.AG2025

Node polynomials for curves on surfaces

Thomas Dedieu

This text is a presentation of a set of formulae, first found by Vainsencher (for ) and shortly after improved by Kleiman and Piene, counting -nodal curves in a complet…

math.AG2025

More birational involutions

Pietro Beri, Laurent Manivel

For a very general polarized K3 surface of degree , we describe in geometrical terms a birational involution of the Hilbert scheme of points on the surface,…

math.AG2025

BRIDGES Lectures: G2 in action, and a mathematical theory of exceptions

Laurent Manivel

The BRIDGES meeting in gauge theory, extremal structures, and stability was held in June 2024 at l'Institut d'Études Scientifiques de Cargèse in Corsica, organized by Daniele Faenz…

math.AG2025

On linear sections of the spinor tenfold II

Yingqi Liu, Laurent Manivel

Following previous work by A. Kuznetsov, we study the Fano manifolds obtained as linear sections of the spinor tenfold in . Up to codimension three there are finit…