English

A configuration space model for algebraic function spaces

Algebraic Geometry 2025-01-03 v1 Algebraic Topology

Abstract

We prove that the space of algebraic maps between two smooth projective varieties, under certain conditions, admit a configuration space model, thereby obtaining an algebro-geometric analogue of Bendersky-Gitler's result on topological function spaces. Our result is a natural higher dimensional counterpart of \cite[Theorem 3]{Ban24}.

Keywords

Cite

@article{arxiv.2501.00105,
  title  = {A configuration space model for algebraic function spaces},
  author = {Oishee Banerjee},
  journal= {arXiv preprint arXiv:2501.00105},
  year   = {2025}
}

Comments

22 pages. Comments are welcome!

R2 v1 2026-06-28T20:52:48.707Z