# Masur-Veech volumes and intersection theory: the principal strata of quadratic differentials

@article{Chen2019MasurVeechVA, title={Masur-Veech volumes and intersection theory: the principal strata of quadratic differentials}, author={D. Chen and Martin Moller and Adrien Sauvaget and with an appendix by G. Borot and Alessandro Giacchetto and Danilo Lewański}, journal={arXiv: Algebraic Geometry}, year={2019} }

We describe a conjectural formula via intersection numbers for the Masur-Veech volumes of strata of quadratic differentials with prescribed zero orders, and we prove the formula for the case when the zero orders are odd. For the principal strata of quadratic differentials with simple zeros, the formula reduces to compute the top Segre class of the quadratic Hodge bundle, which can be further simplified to certain linear Hodge integrals. An appendix proves that the intersection of this class…

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