Degenerations of Abelian differentials
نویسندگان
چکیده
منابع مشابه
Degenerations of Abelian Differentials
Consider degenerations of Abelian differentials with prescribed number and multiplicity of zeros and poles. Motivated by the theory of limit linear series, we define twisted canonical divisors on pointed nodal curves to study degenerate differentials, give dimension bounds for their moduli spaces, and establish smoothability criteria. As applications, we show that the spin parity of holomorphic...
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theory of Lie groups—but many geometric questions lead to non-standard problems which go beyond, or lie on the frontiers of, standard theory. Such questions arise both in reassuringly down-to-earth topics like the existence of constant mean curvature surfaces in R, and in more esoteric ones such as the use of harmonic maps into 'buildings', which have been exploited by Gromov and Schoen to obta...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2017
ISSN: 0022-040X
DOI: 10.4310/jdg/1508551222