Let wt(2) be the closure in M̄g, the coarse moduli space of stable complex curves of genus g ≥ 3, of the locus in M̄g of curves possessing a Weierstrass point of weight at least 2. The class of wt(2) in the group Pic(M̄g) ⊗ Q is computed. The computation heavily relies on the notion of "derivative" of a relative Wronskian, introduced in [15] for families of smooth curves and here extended to suitable families of Deligne-Mumford stable curves. Such a computation provides, as a byproduct, a simpler proof of the main result proven in [6].
On the closure in M̄g of smooth curves having a special Weierstrass point / Gatto, L.. - In: MATHEMATICA SCANDINAVICA. - ISSN 0025-5521. - STAMPA. - 88:1(2001), pp. 41-71.
Titolo: | On the closure in M̄g of smooth curves having a special Weierstrass point | |
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Data di pubblicazione: | 2001 | |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.7146/math.scand.a-14313 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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http://hdl.handle.net/11583/2859728