We show that there is no triangulation of the infinite real Grassmannian G k ∞ nicely situated with respect to the coordinate axes. In terms of matroid theory, this says there is no triangulation of G k ∞ subdividing the matroid stratification. This is proved by an argument in projective geometry, c
Equations of Hurwitz schemes in the infinite Grassmannian
✍ Scribed by José M. Muñoz Porras; Francisco J. Plaza Martín
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 304 KB
- Volume
- 281
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
The main result proved in the paper is the computation of the explicit equations defining the Hurwitz schemes of coverings with punctures as subschemes of the Sato infinite Grassmannian. As an application, we characterize the existence of certain linear series on a smooth curve in terms of soliton equations. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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