Abstract
AbstractWe prove that the space of holomorphic p-forms on the moduli space $$\overline{\mathcal {M}}_{g,n}$$
M
¯
g
,
n
of stable curves of genus g with n marked points vanishes for $$p=14, 16, 18$$
p
=
14
,
16
,
18
unconditionally and also for $$p=20$$
p
=
20
under a natural assumption in the case $$g=3$$
g
=
3
. This result is consistent with the Langlands program and it is obtained by applying the Arbarello–Cornalba inductive approach to the cohomology of moduli spaces.
Funder
Università degli Studi di Trento
Publisher
Springer Science and Business Media LLC
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