The homotopy type of spaces of rational curves on a toric variety

Andrzej Kozlowski; Kohhei Yamaguchi

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arXiv · 1707.02603

The homotopy type of spaces of rational curves on a toric variety

Andrzej Kozlowski·Kohhei Yamaguchi

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Abstract

Spaces of holomorphic maps from the Riemann sphere to various complex manifolds (holomorphic curves ) have played an important role in several area of mathematics. In a seminal paper G. Segal investigated the homotopy type of holomorphic curves on complex projective spaces and M. Guest on compact smooth toric varieties.. Recently Mostovoy and Villanueva, obtained a far reaching generalisation of these results, and in particular (for holomorphic curves) improved the stability dimension obtained by Guest. In this paper, we generalize their result to holomorphic curves, on certain non-compact smooth toric varieties.

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Andrzej Kozlowski, Kohhei Yamaguchi. 2017-07-09. The homotopy type of spaces of rational curves on a toric variety. https://arxiv.org/abs/1707.02603

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