Studying the Galois module structure of the spaces $H^0(X,\Omega_X^{\otimes n })$ of holomorphic (poly)-differential on algebraic curves. Modular and integral representations.
F. Kato, A. Kontogeorgis, J. Kool
On the Galois-module structure of polydifferentials of Subrao curves, modular and integral representation theory
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A. Kontogeorgis, S. Karanikolopoulos
Automorphisms of Curves and Weierstrass semigroups for Harbater- Katz-Gabber covers
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ISSN: .
S. Karanikolopoulos, A. Kontogeorgis
Integral representations of cyclic groups acting on relative holomorphic differentials of deformations of curves with automorphisms
In: Proc. Amer. Math. Soc., Vol. 142, No. 7, pg. 2369–2383, 2014.
ISSN: 0002-9939.
S. Karanikolopoulos, A. Kontogeorgis
Representation of cyclic groups in positive characteristic and Weierstrass semigroups
In: Journal of Number Theory, Vol. 133, No. 1, pg. 158–175, 2013.
ISSN: 0022-314X.
Keywords: Automorphisms; Curves; Numerical semigroups.
B. Koeck, A. Kontogeorgis
Quadratic Differentials and Equivariant Deformation Theory of Curves
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A. Kontogeorgis
Polydifferentials and the deformation functor of curves with automorphisms
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S. Karanikolopoulos, A. Kontogeorgis
Automorphisms of Curves and Weierstrass semigroups
In: , Vol. , No. , 2010.
ISSN: .