1975
DOI: 10.1007/bf02547970
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Weierstrass points of the universal curve

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Cited by 25 publications
(28 citation statements)
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“…The map d % will be said, in the following, by a slight abuse of terminology, the exterior derivative along the fibers of % (compare with [23], where in the case of families of smooth curves, an analytic description of d % is provided). As it is well known, 3 % and d % enjoy some nice functorial properties.…”
Section: 3mentioning
confidence: 99%
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“…The map d % will be said, in the following, by a slight abuse of terminology, the exterior derivative along the fibers of % (compare with [23], where in the case of families of smooth curves, an analytic description of d % is provided). As it is well known, 3 % and d % enjoy some nice functorial properties.…”
Section: 3mentioning
confidence: 99%
“…n !, of a vector bundle which (following Lax, [23]) shall be denoted as J n % l, and which is, by definition, the n-th jets bundle of l along the fibers of %. The above outlined construction is the relative version of the jet bundles for Gorenstein curves constructed in [12].…”
Section: 4mentioning
confidence: 99%
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“…and let π: V->T g denote the universal curve of genus g. Let Wζ, for k -2, , 2g -2 and r -1, 2, , denote the closed complex subspaces of V of Weierstrass points of the universal curve which were defined in [1], [2]. These spaces may be described set-theoretically as follows: 1) for k £ g, then I 2^ϊΊ = {(*, P) £ V: in the Weierstrass gap sequence at Pe V t , there are at least r nongaps ^&}.…”
Section: * Let T G Denote the Teichmuller Space For Teichmuller Surfmentioning
confidence: 99%
“…Then £ is determined by its values on a set of local parameters of <^V, (ί , P ). So, if f(ί) = we, ξ(c m ) = 6 m ε, m = 1,,then (u,b u , 6 3ff -3 ) serve as coordinates for T (ί , P) (F) (V).…”
Section: Definition Put W~{γ) = {(T P) E V: γ{P) = γ)mentioning
confidence: 99%