Cylinder counts and spin refinement of area Siegel-Veech constants

Autor:	van Ittersum, Jan-Willem, Sauvaget, Adrien
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry Mathematics - Differential Geometry Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	We study the area Siegel-Veech constants of components of strata of abelian differentials with even or odd spin parity. We prove that these constants may be computed using either: (I) quasimodular forms, or (II) intersection theory. These results refine the main theorems of arXiv:1606.04065 and arXiv:1901.01785 which described the area Siegel-Veech constants of the full strata. Along the proof of (II), we establish a new identity for Siegel-Veech constants of cylinders. Comment: 42 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.17374 Zobrazit plný text záznamu View this record from Arxiv